Search a number
-
+
120321310120 = 235112834632087
BaseRepresentation
bin111000000001110110…
…1010111110110101000
3102111120101202212010021
41300003231113312220
53432404223410440
6131135211130224
711456450155414
oct1600355276650
9374511685107
10120321310120
1147034274180
121b39b443974
13b4669369bb
145b75ca5d44
1531e32c384a
hex1c03b57da8

120321310120 has 128 divisors (see below), whose sum is σ = 297160151040. Its totient is φ = 43483587840.

The previous prime is 120321310117. The next prime is 120321310121. The reversal of 120321310120 is 21013123021.

It is a junction number, because it is equal to n+sod(n) for n = 120321310094 and 120321310103.

It is not an unprimeable number, because it can be changed into a prime (120321310121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57651717 + ... + 57653803.

It is an arithmetic number, because the mean of its divisors is an integer number (2321563680).

Almost surely, 2120321310120 is an apocalyptic number.

120321310120 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 120321310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148580075520).

120321310120 is an abundant number, since it is smaller than the sum of its proper divisors (176838840920).

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

120321310120 is a wasteful number, since it uses less digits than its factorization.

120321310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120321310120 its reverse (21013123021), we get a palindrome (141334433141).

The spelling of 120321310120 in words is "one hundred twenty billion, three hundred twenty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 283 440 463 566 926 1132 1415 1852 2087 2264 2315 2830 3113 3704 4174 4630 5093 5660 6226 8348 9260 10186 10435 11320 12452 15565 16696 18520 20372 20870 22957 24904 25465 31130 40744 41740 45914 50930 62260 83480 91828 101860 114785 124520 131029 183656 203720 229570 262058 459140 524116 590621 655145 918280 966281 1048232 1181242 1310290 1441319 1932562 2362484 2620580 2882638 2953105 3865124 4724968 4831405 5241160 5765276 5906210 6496831 7206595 7730248 9662810 10629091 11530552 11812420 12993662 14413190 19325620 21258182 23624840 25987324 28826380 32484155 38651240 42516364 51974648 53145455 57652760 64968310 85032728 106290910 129936620 212581820 259873240 273457523 425163640 546915046 1093830092 1367287615 2187660184 2734575230 3008032753 5469150460 6016065506 10938300920 12032131012 15040163765 24064262024 30080327530 60160655060 120321310120