Search a number
-
+
104200242520 = 2351110311320347
BaseRepresentation
bin110000100001011010…
…0011000010101011000
3100221221220010202210111
41201002310120111120
53201400230230040
6115511404454104
710346115306343
oct1410264302530
9327856122714
10104200242520
1140211358510
121824054a334
139a97a7194a
145086c1b45a
152a9cd65dea
hex1842d18558

104200242520 has 128 divisors (see below), whose sum is σ = 260545559040. Its totient is φ = 37189232640.

The previous prime is 104200242431. The next prime is 104200242533. The reversal of 104200242520 is 25242002401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 104200242491 and 104200242500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5110987 + ... + 5131333.

It is an arithmetic number, because the mean of its divisors is an integer number (2035512180).

Almost surely, 2104200242520 is an apocalyptic number.

104200242520 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 104200242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130272779520).

104200242520 is an abundant number, since it is smaller than the sum of its proper divisors (156345316520).

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

104200242520 is a wasteful number, since it uses less digits than its factorization.

104200242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20585 (or 20581 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 104200242520 its reverse (25242002401), we get a palindrome (129442244921).

The spelling of 104200242520 in words is "one hundred four billion, two hundred million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 113 206 220 226 412 440 452 515 565 824 904 1030 1130 1133 1243 2060 2260 2266 2486 4120 4520 4532 4972 5665 6215 9064 9944 11330 11639 12430 20347 22660 23278 24860 40694 45320 46556 49720 58195 81388 93112 101735 116390 128029 162776 203470 223817 232780 256058 406940 447634 465560 512116 640145 813880 895268 1024232 1119085 1280290 1790536 2095741 2238170 2299211 2560580 4191482 4476340 4598422 5121160 8382964 8952680 9196844 10478705 11496055 16765928 18393688 20957410 22992110 23053151 25291321 41914820 45984220 46106302 50582642 83829640 91968440 92212604 101165284 115265755 126456605 184425208 202330568 230531510 236818733 252913210 461063020 473637466 505826420 922126040 947274932 1011652840 1184093665 1894549864 2368187330 2605006063 4736374660 5210012126 9472749320 10420024252 13025030315 20840048504 26050060630 52100121260 104200242520