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231142241132 = 221129672703671
BaseRepresentation
bin1101011101000100100…
…1101011001101101100
3211002121200220110010122
43113101021223031230
512241334403204012
6254104004224112
722461630426635
oct3272111531554
9732550813118
10231142241132
118a032850970
123896909b038
1318a482348aa
14b28a10288c
15602c4c9e72
hex35d126b36c

231142241132 has 48 divisors (see below), whose sum is σ = 463301233920. Its totient is φ = 99927643200.

The previous prime is 231142241107. The next prime is 231142241179.

It is a happy number.

231142241132 is nontrivially palindromic in base 10.

231142241132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266344 + ... + 1437327.

It is an arithmetic number, because the mean of its divisors is an integer number (9652109040).

Almost surely, 2231142241132 is an apocalyptic number.

231142241132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231142241132 is an abundant number, since it is smaller than the sum of its proper divisors (232158992788).

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

231142241132 is a wasteful number, since it uses less digits than its factorization.

231142241132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703782 (or 2703780 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 231142 and 241132, that added together give a palindrome (472274).

The spelling of 231142241132 in words is "two hundred thirty-one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 29 44 58 67 116 134 268 319 638 737 1276 1474 1943 2948 3886 7772 21373 42746 85492 2703671 5407342 10814684 29740381 59480762 78406459 118961524 156812918 181145957 313625836 362291914 724583828 862471049 1724942098 1992605527 3449884196 3985211054 5253232753 7970422108 10506465506 21012931012 57785560283 115571120566 231142241132