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103102330032 = 243613679951
BaseRepresentation
bin110000000000101100…
…0001011010010110000
3100212010101020001000000
41200001120023102300
53142123144030112
6115210424430000
710306654226322
oct1400130132260
9325111201000
10103102330032
113a7a8639619
1217b94918300
1399514721a0
144dc10a3612
152a367937dc
hex180160b4b0

103102330032 has 140 divisors (see below), whose sum is σ = 322543390624. Its totient is φ = 31723747200.

The previous prime is 103102330007. The next prime is 103102330081. The reversal of 103102330032 is 230033201301.

103102330032 is a `hidden beast` number, since 1 + 0 + 310 + 23 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103102329987 and 103102330014.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 188344 + ... + 491607.

Almost surely, 2103102330032 is an apocalyptic number.

103102330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103102330032 is an abundant number, since it is smaller than the sum of its proper divisors (219441060592).

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

103102330032 is an equidigital number, since it uses as much as digits as its factorization.

103102330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679990 (or 679969 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103102330032 its reverse (230033201301), we get a palindrome (333135531333).

The spelling of 103102330032 in words is "one hundred three billion, one hundred two million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 16848 18954 25272 37908 50544 75816 151632 679951 1359902 2039853 2719804 4079706 5439608 6119559 8159412 8839363 10879216 12239118 16318824 17678726 18358677 24478236 26518089 32637648 35357452 36717354 48956472 53036178 55076031 70714904 73434708 79554267 97912944 106072356 110152062 141429808 146869416 159108534 165228093 212144712 220304124 238662801 293738832 318217068 330456186 424289424 440608248 477325602 495684279 636434136 660912372 715988403 881216496 954651204 991368558 1272868272 1321824744 1431976806 1909302408 1982737116 2147965209 2643649488 2863953612 3818604816 3965474232 4295930418 5727907224 6443895627 7930948464 8591860836 11455814448 12887791254 17183721672 25775582508 34367443344 51551165016 103102330032