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10232123112 = 2332355739953
BaseRepresentation
bin10011000011110000…
…11100111011101000
3222102002112201011200
421201320130323220
5131423410414422
64411153524200
7511363416501
oct114170347350
928362481150
1010232123112
1143808485a2
121b96873660
13c70b10c23
146d0d07ba8
153ed4602ac
hex261e1cee8

10232123112 has 48 divisors (see below), whose sum is σ = 27720484740. Its totient is φ = 3409663488.

The previous prime is 10232123059. The next prime is 10232123117. The reversal of 10232123112 is 21132123201.

10232123112 is a `hidden beast` number, since 102 + 321 + 231 + 12 = 666.

10232123112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10159430436 + 72692676 = 100794^2 + 8526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10232123117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 236128 + ... + 276080.

Almost surely, 210232123112 is an apocalyptic number.

10232123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10232123112 is an abundant number, since it is smaller than the sum of its proper divisors (17488361628).

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

10232123112 is a wasteful number, since it uses less digits than its factorization.

10232123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43522 (or 43515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10232123112 its reverse (21132123201), we get a palindrome (31364246313).

The spelling of 10232123112 in words is "ten billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3557 7114 10671 14228 21342 28456 32013 39953 42684 64026 79906 85368 119859 128052 159812 239718 256104 319624 359577 479436 719154 958872 1438308 2876616 142112821 284225642 426338463 568451284 852676926 1136902568 1279015389 1705353852 2558030778 3410707704 5116061556 10232123112