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103402520232 = 233112516312473
BaseRepresentation
bin110000001001101000…
…1010011111010101000
3100212220022002021112120
41200103101103322220
53143232021121412
6115300310511240
710320260630364
oct1402321237250
9325808067476
10103402520232
113a9420329a0
1218059365520
13999b70871b
14500ccc62a4
152a52cddb8c
hex1813453ea8

103402520232 has 128 divisors (see below), whose sum is σ = 283693777920. Its totient is φ = 31147200000.

The previous prime is 103402520203. The next prime is 103402520323. The reversal of 103402520232 is 232025204301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41811348 + ... + 41813820.

It is an arithmetic number, because the mean of its divisors is an integer number (2216357640).

Almost surely, 2103402520232 is an apocalyptic number.

103402520232 is a gapful number since it is divisible by the number (12) 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 103402520232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141846888960).

103402520232 is an abundant number, since it is smaller than the sum of its proper divisors (180291257688).

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

103402520232 is a wasteful number, since it uses less digits than its factorization.

103402520232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 103402520232 its reverse (232025204301), we get a palindrome (335427724533).

The spelling of 103402520232 in words is "one hundred three billion, four hundred two million, five hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 251 264 502 631 753 1004 1262 1506 1893 2008 2473 2524 2761 3012 3786 4946 5048 5522 6024 6941 7419 7572 8283 9892 11044 13882 14838 15144 16566 19784 20823 22088 27203 27764 29676 33132 41646 54406 55528 59352 66264 81609 83292 108812 158381 163218 166584 217624 316762 326436 475143 620723 633524 652872 950286 1241446 1267048 1560463 1742191 1862169 1900572 2482892 3120926 3484382 3724338 3801144 4681389 4965784 5226573 6241852 6827953 6968764 7448676 9362778 10453146 12483704 13655906 13937528 14897352 17165093 18725556 20483859 20906292 27311812 34330186 37451112 40967718 41812584 51495279 54623624 68660372 81935436 102990558 137320744 163870872 205981116 391676213 411962232 783352426 1175028639 1566704852 2350057278 3133409704 4308438343 4700114556 8616876686 9400229112 12925315029 17233753372 25850630058 34467506744 51701260116 103402520232