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231428824132 = 221119413966883
BaseRepresentation
bin1101011110001000111…
…0111001110001000100
3211010100200011101002211
43113202032321301010
512242431234333012
6254152242513204
722502010355612
oct3274216716104
9733320141084
10231428824132
118a16a5a0a20
1238a29065804
1318a9271572c
14b2b61c26b2
1560477386a7
hex35e23b9c44

231428824132 has 48 divisors (see below), whose sum is σ = 465191596800. Its totient is φ = 99632777760.

The previous prime is 231428824129. The next prime is 231428824139.

231428824132 is nontrivially palindromic in base 10.

231428824132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231428824139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426763 + ... + 3493645.

It is an arithmetic number, because the mean of its divisors is an integer number (9691491600).

Almost surely, 2231428824132 is an apocalyptic number.

231428824132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231428824132 is an abundant number, since it is smaller than the sum of its proper divisors (233762772668).

231428824132 is a wasteful number, since it uses less digits than its factorization.

231428824132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71056 (or 71054 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 231428824132 in words is "two hundred thirty-one billion, four hundred twenty-eight million, eight hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 4139 8278 16556 45529 66883 78641 91058 133766 157282 182116 267532 314564 735713 865051 1270777 1471426 1730102 2541554 2942852 3460204 5083108 13978547 27957094 55914188 276828737 553657474 1107314948 3045116107 5259746003 6090232214 10519492006 12180464428 21038984012 57857206033 115714412066 231428824132