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231312221312 = 2743130132303
BaseRepresentation
bin1101011101101101001…
…0000110010010000000
3211010001112202100002212
43113123102012102000
512242211412040222
6254132515401252
722466063303654
oct3273322062200
9733045670085
10231312221312
118a10a79a557
12389b5bb3228
1318a7450ab93
14b2a490ca64
15603c3a46e2
hex35db486480

231312221312 has 64 divisors (see below), whose sum is σ = 471911045760. Its totient is φ = 112876108800.

The previous prime is 231312221293. The next prime is 231312221317. The reversal of 231312221312 is 213122213132.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (231312221317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7144553 + ... + 7176855.

It is an arithmetic number, because the mean of its divisors is an integer number (7373610090).

Almost surely, 2231312221312 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 231312221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235955522880).

231312221312 is an abundant number, since it is smaller than the sum of its proper divisors (240598824448).

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

231312221312 is a wasteful number, since it uses less digits than its factorization.

231312221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33661 (or 33649 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 231312221312 its reverse (213122213132), we get a palindrome (444434434444).

The spelling of 231312221312 in words is "two hundred thirty-one billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1301 1376 2602 2752 5204 5504 10408 20816 32303 41632 55943 64606 83264 111886 129212 166528 223772 258424 447544 516848 895088 1033696 1389029 1790176 2067392 2778058 3580352 4134784 5556116 7160704 11112232 22224464 42026203 44448928 84052406 88897856 168104812 177795712 336209624 672419248 1344838496 1807126729 2689676992 3614253458 5379353984 7228506916 14457013832 28914027664 57828055328 115656110656 231312221312