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231333141333132 = 2232107578391038319
BaseRepresentation
bin110100100110010101110001…
…101101101100010010001100
31010100002020021100221102121100
4310212111301231230102030
5220310130233140130012
62140000551130103100
766504160616252046
oct6446256155542214
91110066240842540
10231333141333132
116778991a492703
1221b41ab4b7aa90
139c10810927c47
14411a825c7aa96
151bb278c5778dc
hexd26571b6c48c

231333141333132 has 72 divisors (see below), whose sum is σ = 590234582246400. Its totient is φ = 76388988807648.

The previous prime is 231333141333127. The next prime is 231333141333163.

It is a happy number.

231333141333132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 3 + 314 + 1 + 3 + 331 + 3 + 2 = 666.

231333141333132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222276669 + ... + 223314987.

It is an arithmetic number, because the mean of its divisors is an integer number (8197702531200).

Almost surely, 2231333141333132 is an apocalyptic number.

It is an amenable number.

231333141333132 is an abundant number, since it is smaller than the sum of its proper divisors (358901440913268).

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

231333141333132 is a wasteful number, since it uses less digits than its factorization.

231333141333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096275 (or 1096270 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 231333141333132 in words is "two hundred thirty-one trillion, three hundred thirty-three billion, one hundred forty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 57839 115678 173517 231356 347034 520551 694068 1038319 1041102 2076638 2082204 3114957 4153276 6188773 6229914 9344871 12377546 12459828 18566319 18689742 24755092 37132638 37379484 55698957 74265276 111100133 111397914 222200266 222795828 333300399 444400532 666600798 999901197 1333201596 1999802394 3999604788 60055332641 120110665282 180165997923 240221330564 360331995846 540497993769 720663991692 1080995987538 2161991975076 6425920592587 12851841185174 19277761777761 25703682370348 38555523555522 57833285333283 77111047111044 115666570666566 231333141333132