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103305321432 = 23334091169353
BaseRepresentation
bin110000000110101111…
…0100001101111011000
3100212122112012001212000
41200031132201233120
53143032130241212
6115242515321000
710315000513065
oct1401536415730
9325575161760
10103305321432
113a8a2185005
12180308b0160
139984535c41
145000023c6c
152a494de1dc
hex180d7a1bd8

103305321432 has 64 divisors (see below), whose sum is σ = 287661084000. Its totient is φ = 34350884352.

The previous prime is 103305321407. The next prime is 103305321443. The reversal of 103305321432 is 234123503301.

103305321432 is a `hidden beast` number, since 1 + 0 + 3 + 305 + 321 + 4 + 32 = 666.

103305321432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103305321396 and 103305321405.

It is a congruent number.

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, 496333 + ... + 673020.

Almost surely, 2103305321432 is an apocalyptic number.

103305321432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103305321432 is an abundant number, since it is smaller than the sum of its proper divisors (184355762568).

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

103305321432 is a wasteful number, since it uses less digits than its factorization.

103305321432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169777 (or 1169767 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 103305321432 its reverse (234123503301), we get a palindrome (337428824733).

The spelling of 103305321432 in words is "one hundred three billion, three hundred five million, three hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 2454 3272 3681 4908 7362 9816 11043 14724 22086 29448 44172 88344 1169353 2338706 3508059 4677412 7016118 9354824 10524177 14032236 21048354 28064472 31572531 42096708 63145062 84193416 126290124 252580248 478265377 956530754 1434796131 1913061508 2869592262 3826123016 4304388393 5739184524 8608776786 11478369048 12913165179 17217553572 25826330358 34435107144 51652660716 103305321432