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30432331100 = 22523140124481
BaseRepresentation
bin11100010101111010…
…001000010101011100
32220112212210121011002
4130111322020111130
5444311134043400
621551434245432
72125066355243
oct342572102534
986485717132
1030432331100
11119a7291866
125a93886878
132b3cb16712
141689a2795a
15bd1a76ed5
hex715e8855c

30432331100 has 72 divisors (see below), whose sum is σ = 68341209216. Its totient is φ = 11750400000.

The previous prime is 30432331093. The next prime is 30432331121. The reversal of 30432331100 is 113323403.

It is a super-2 number, since 2×304323311002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1230860 + ... + 1255340.

Almost surely, 230432331100 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 30432331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34170604608).

30432331100 is an abundant number, since it is smaller than the sum of its proper divisors (37908878116).

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

30432331100 is a wasteful number, since it uses less digits than its factorization.

30432331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24927 (or 24920 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30432331100 its reverse (113323403), we get a palindrome (30545654503).

The spelling of 30432331100 in words is "thirty billion, four hundred thirty-two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 401 620 775 802 1550 1604 2005 3100 4010 8020 10025 12431 20050 24481 24862 40100 48962 49724 62155 97924 122405 124310 244810 248620 310775 489620 612025 621550 758911 1224050 1243100 1517822 2448100 3035644 3794555 7589110 9816881 15178220 18972775 19633762 37945550 39267524 49084405 75891100 98168810 196337620 245422025 304323311 490844050 608646622 981688100 1217293244 1521616555 3043233110 6086466220 7608082775 15216165550 30432331100