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102103200232 = 231129386310357
BaseRepresentation
bin101111100010111010…
…0110011000111101000
3100202112202011222120121
41133011310303013220
53133101404401412
6114523333533024
710243132611415
oct1370564630750
9322482158517
10102103200232
113a33565a610
12179561a4174
13982247b117
144d2850110c
1529c8bd5107
hex17c5d331e8

102103200232 has 64 divisors (see below), whose sum is σ = 216125884800. Its totient is φ = 44794256640.

The previous prime is 102103200229. The next prime is 102103200259. The reversal of 102103200232 is 232002301201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9853198 + ... + 9863554.

It is an arithmetic number, because the mean of its divisors is an integer number (3376966950).

Almost surely, 2102103200232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108062942400).

102103200232 is an abundant number, since it is smaller than the sum of its proper divisors (114022684568).

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

102103200232 is a wasteful number, since it uses less digits than its factorization.

102103200232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 14262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102103200232 its reverse (232002301201), we get a palindrome (334105501433).

The spelling of 102103200232 in words is "one hundred two billion, one hundred three million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 3863 7726 10357 15452 20714 30904 41428 42493 82856 84986 112027 113927 169972 224054 227854 300353 339944 448108 455708 600706 896216 911416 1201412 1232297 2402824 2464594 3303883 4929188 6607766 9858376 13215532 26431064 40009091 80018182 160036364 320072728 440100001 880200002 1160263639 1760400004 2320527278 3520800008 4641054556 9282109112 12762900029 25525800058 51051600116 102103200232