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30513541332 = 22317214959051
BaseRepresentation
bin11100011010101111…
…111011000011010100
32220202112121111122110
4130122233323003110
5444442431310312
622003455031020
72130103551621
oct343257730324
986675544573
1030513541332
1111a3910a25a
125ab6b0b470
132b538ab901
141696727348
15bd8c6943c
hex71abfb0d4

30513541332 has 72 divisors (see below), whose sum is σ = 76141648800. Its totient is φ = 9508467200.

The previous prime is 30513541271. The next prime is 30513541337. The reversal of 30513541332 is 23314531503.

It is a super-3 number, since 3×305135413323 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30513541332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30513541337) 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, 487207 + ... + 546257.

It is an arithmetic number, because the mean of its divisors is an integer number (1057522900).

Almost surely, 230513541332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30513541332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070824400).

30513541332 is an abundant number, since it is smaller than the sum of its proper divisors (45628107468).

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

30513541332 is a wasteful number, since it uses less digits than its factorization.

30513541332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59241 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 30513541332 in words is "thirty billion, five hundred thirteen million, five hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 149 204 289 298 447 578 596 867 894 1156 1734 1788 2533 3468 5066 7599 10132 15198 30396 43061 59051 86122 118102 129183 172244 177153 236204 258366 354306 516732 708612 1003867 2007734 3011601 4015468 6023202 8798599 12046404 17065739 17597198 26395797 34131478 35194396 51197217 52791594 68262956 102394434 105583188 149576183 204788868 299152366 448728549 598304732 897457098 1794914196 2542795111 5085590222 7628385333 10171180444 15256770666 30513541332