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30132000310032 = 24321297175392033
BaseRepresentation
bin1101101100111101001110…
…01011001100001100010000
310221200120221220120021121200
412312132213023030030100
512422140314034410112
6144030241055551200
76226652025456225
oct666364713141420
9127616856507550
1030132000310032
119667a006a9775
123467949b2b500
1313a758786928a
1476257a39194c
15373c08561cdc
hex1b67a72cc310

30132000310032 has 120 divisors (see below), whose sum is σ = 84441827825784. Its totient is φ = 10030421901312.

The previous prime is 30132000309991. The next prime is 30132000310039. The reversal of 30132000310032 is 23001300023103.

30132000310032 is a `hidden beast` number, since 3 + 0 + 1 + 320 + 0 + 0 + 310 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140868104976 + 29991132205056 = 375324^2 + 5476416^2 .

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 = 30132000309987 and 30132000310014.

It is not an unprimeable number, because it can be changed into a prime (30132000310039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327358288 + ... + 327450320.

Almost surely, 230132000310032 is an apocalyptic number.

It is an amenable number.

30132000310032 is an abundant number, since it is smaller than the sum of its proper divisors (54309827515752).

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

30132000310032 is a wasteful number, since it uses less digits than its factorization.

30132000310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95097 (or 95088 counting only the distinct ones).

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

Adding to 30132000310032 its reverse (23001300023103), we get a palindrome (53133300333135).

The spelling of 30132000310032 in words is "thirty trillion, one hundred thirty-two billion, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1297 1753 2594 3506 3891 5188 5259 7012 7782 10376 10518 11673 14024 15564 15777 20752 21036 23346 28048 31128 31554 42072 46692 62256 63108 84144 92033 93384 126216 184066 186768 252432 276099 368132 552198 736264 828297 1104396 1472528 1656594 2208792 2273641 3313188 4417584 4547282 6626376 6820923 9094564 13252752 13641846 18189128 20462769 27283692 36378256 40925538 54567384 81851076 109134768 119366801 161333849 163702152 238733602 322667698 327404304 358100403 477467204 484001547 645335396 716200806 954934408 968003094 1074301209 1290670792 1432401612 1452004641 1909868816 1936006188 2148602418 2581341584 2864803224 2904009282 3872012376 4297204836 5729606448 5808018564 7744024752 8594409672 11616037128 17188819344 23232074256 209250002153 418500004306 627750006459 837000008612 1255500012918 1674000017224 1883250019377 2511000025836 3348000034448 3766500038754 5022000051672 7533000077508 10044000103344 15066000155016 30132000310032