Search a number
-
+
10232110122320 = 2454127192912391
BaseRepresentation
bin1001010011100101100101…
…0010100000010101010000
31100020011212100101011100102
42110321121102200111100
52320120330142403240
633432322210311532
72104150141003262
oct224713122402520
940204770334312
1010232110122320
113295460460399
121193074b885a8
13592b64a62a78
142753459bbb32
1512b2623a7815
hex94e594a0550

10232110122320 has 160 divisors (see below), whose sum is σ = 24488122659840. Its totient is φ = 3973681152000.

The previous prime is 10232110122307. The next prime is 10232110122323. The reversal of 10232110122320 is 2322101123201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10232110122292 and 10232110122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232110122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825763325 + ... + 825775715.

It is an arithmetic number, because the mean of its divisors is an integer number (153050766624).

Almost surely, 210232110122320 is an apocalyptic number.

10232110122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232110122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244061329920).

10232110122320 is an abundant number, since it is smaller than the sum of its proper divisors (14256012537520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10232110122320 is a wasteful number, since it uses less digits than its factorization.

10232110122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10232110122320 its reverse (2322101123201), we get a palindrome (12554211245521).

The spelling of 10232110122320 in words is "ten trillion, two hundred thirty-two billion, one hundred ten million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 271 328 410 542 656 820 929 1084 1355 1640 1858 2168 2710 3280 3716 4336 4645 5420 7432 9290 10840 11111 12391 14864 18580 21680 22222 24782 37160 38089 44444 49564 55555 61955 74320 76178 88888 99128 111110 123910 152356 177776 190445 198256 222220 247820 251759 304712 380890 444440 495640 503518 508031 609424 761780 888880 991280 1007036 1016062 1258795 1523560 2014072 2032124 2517590 2540155 3047120 3357961 4028144 4064248 5035180 5080310 6715922 8128496 10070360 10160620 10322119 11511239 13431844 16789805 20140720 20321240 20644238 23022478 26863688 33579610 40642480 41288476 46044956 51610595 53727376 57556195 67159220 82576952 92089912 103221190 115112390 134318440 137676401 165153904 184179824 206442380 230224780 268636880 275352802 412884760 460449560 471960799 550705604 688382005 825769520 920899120 943921598 1101411208 1376764010 1887843196 2202822416 2359803995 2753528020 3119545769 3775686392 4719607990 5507056040 6239091538 7551372784 9439215980 11014112080 12478183076 15597728845 18878431960 24956366152 31195457690 37756863920 49912732304 62390915380 124781830760 127901376529 249563661520 255802753058 511605506116 639506882645 1023211012232 1279013765290 2046422024464 2558027530580 5116055061160 10232110122320