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32032121130 = 23253137930293
BaseRepresentation
bin11101110101010000…
…110110000100101010
310001200101002100111200
4131311100312010222
51011100210334010
622414303305030
72212533352152
oct356520660452
9101611070450
1032032121130
111264832a789
12625b5ab176
1330363a7a39
14179c2a5762
15c77233cc0
hex77543612a

32032121130 has 96 divisors (see below), whose sum is σ = 86199759360. Its totient is φ = 8244270720.

The previous prime is 32032121087. The next prime is 32032121197. The reversal of 32032121130 is 3112123023.

32032121130 is a `hidden beast` number, since 320 + 3 + 212 + 1 + 130 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042264 + ... + 1072556.

It is an arithmetic number, because the mean of its divisors is an integer number (897914160).

Almost surely, 232032121130 is an apocalyptic number.

32032121130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32032121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43099879680).

32032121130 is an abundant number, since it is smaller than the sum of its proper divisors (54167638230).

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

32032121130 is a wasteful number, since it uses less digits than its factorization.

32032121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30716 (or 30713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32032121130 its reverse (3112123023), we get a palindrome (35144244153).

The spelling of 32032121130 in words is "thirty-two billion, thirty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 379 465 558 758 930 1137 1395 1895 2274 2790 3411 3790 5685 6822 11370 11749 17055 23498 30293 34110 35247 58745 60586 70494 90879 105741 117490 151465 176235 181758 211482 272637 302930 352470 454395 528705 545274 908790 939083 1057410 1363185 1878166 2726370 2817249 4695415 5634498 8451747 9390830 11481047 14086245 16903494 22962094 28172490 34443141 42258735 57405235 68886282 84517470 103329423 114810470 172215705 206658846 344431410 355912457 516647115 711824914 1033294230 1067737371 1779562285 2135474742 3203212113 3559124570 5338686855 6406424226 10677373710 16016060565 32032121130