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30131032100 = 225213211109847
BaseRepresentation
bin11100000011111100…
…110001000000100100
32212202212212000121212
4130003330301000210
5443202021011400
621501512330552
72114450355431
oct340374610044
985685760555
1030131032100
1111862200424
125a0a9a3a58
132ac25825a0
14165b9d6b88
15bb53ad335
hex703f31024

30131032100 has 72 divisors (see below), whose sum is σ = 70748263488. Its totient is φ = 11072476800.

The previous prime is 30131032097. The next prime is 30131032133. The reversal of 30131032100 is 123013103.

It is a super-2 number, since 2×301310321002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219377 + ... + 329223.

Almost surely, 230131032100 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 30131032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374131744).

30131032100 is an abundant number, since it is smaller than the sum of its proper divisors (40617231388).

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

30131032100 is a wasteful number, since it uses less digits than its factorization.

30131032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110085 (or 110078 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30131032100 its reverse (123013103), we get a palindrome (30254045203).

The spelling of 30131032100 in words is "thirty billion, one hundred thirty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 211 260 325 422 650 844 1055 1300 2110 2743 4220 5275 5486 10550 10972 13715 21100 27430 54860 68575 109847 137150 219694 274300 439388 549235 1098470 1428011 2196940 2746175 2856022 5492350 5712044 7140055 10984700 14280110 23177717 28560220 35700275 46355434 71400550 92710868 115888585 142801100 231777170 301310321 463554340 579442925 602620642 1158885850 1205241284 1506551605 2317771700 3013103210 6026206420 7532758025 15065516050 30131032100