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10189830112 = 2571121947421
BaseRepresentation
bin10010111110101110…
…00111011111100000
3222022010222000002021
421133113013133200
5131332044030422
64403043231224
7510341061340
oct113727073740
928263860067
1010189830112
114359991200
121b84678514
13c65123797
146c9458d20
153e98a8dc7
hex25f5c77e0

10189830112 has 288 divisors, whose sum is σ = 27156003840. Its totient is φ = 3672345600.

The previous prime is 10189830109. The next prime is 10189830113. The reversal of 10189830112 is 21103898101.

It is a happy number.

It is a super-2 number, since 2×101898301122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189830113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24203662 + ... + 24204082.

It is an arithmetic number, because the mean of its divisors is an integer number (94291680).

Almost surely, 210189830112 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 10189830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578001920).

10189830112 is an abundant number, since it is smaller than the sum of its proper divisors (16966173728).

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

10189830112 is a wasteful number, since it uses less digits than its factorization.

10189830112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 10189830112 in words is "ten billion, one hundred eighty-nine million, eight hundred thirty thousand, one hundred twelve".