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32025155130 = 23255367100207
BaseRepresentation
bin11101110100110110…
…010001011000111010
310001122212222102221200
4131310312101120322
51011041414431010
622413454115030
72212420220133
oct356466213072
9101585872850
1032025155130
1112644402061
1262591aba76
133034b09147
14179b3b0c8a
15c76809cc0
hex774d9163a

32025155130 has 96 divisors (see below), whose sum is σ = 86103523584. Its totient is φ = 8253767808.

The previous prime is 32025155111. The next prime is 32025155159. The reversal of 32025155130 is 3155152023.

It is a happy number.

32025155130 is a `hidden beast` number, since 32 + 0 + 2 + 51 + 551 + 30 = 666.

It is a super-2 number, since 2×320251551302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32025155094 and 32025155103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269487 + ... + 369693.

It is an arithmetic number, because the mean of its divisors is an integer number (896911704).

Almost surely, 232025155130 is an apocalyptic number.

32025155130 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 32025155130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43051761792).

32025155130 is an abundant number, since it is smaller than the sum of its proper divisors (54078368454).

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

32025155130 is a wasteful number, since it uses less digits than its factorization.

32025155130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100340 (or 100337 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 32025155130 in words is "thirty-two billion, twenty-five million, one hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 67 90 106 134 159 201 265 318 335 402 477 530 603 670 795 954 1005 1206 1590 2010 2385 3015 3551 4770 6030 7102 10653 17755 21306 31959 35510 53265 63918 100207 106530 159795 200414 300621 319590 501035 601242 901863 1002070 1503105 1803726 3006210 4509315 5310971 6713869 9018630 10621942 13427738 15932913 20141607 26554855 31865826 33569345 40283214 47798739 53109710 60424821 67138690 79664565 95597478 100708035 120849642 159329130 201416070 238993695 302124105 355835057 477987390 604248210 711670114 1067505171 1779175285 2135010342 3202515513 3558350570 5337525855 6405031026 10675051710 16012577565 32025155130