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2231111313312 = 253711491288931
BaseRepresentation
bin100000011101111000100…
…110001110011110100000
321220021212222120000002220
4200131320212032132200
5243023303444011222
64424543002311040
7320123006153310
oct40357046163640
97807788500086
102231111313312
11790233198172
123004a27b8480
1313251525a87b
1479db4821440
153d0828e8b5c
hex2077898e7a0

2231111313312 has 96 divisors (see below), whose sum is σ = 6693939592704. Its totient is φ = 637402694400.

The previous prime is 2231111313209. The next prime is 2231111313329. The reversal of 2231111313312 is 2133131111322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22311113133123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7577487 + ... + 7866417.

It is an arithmetic number, because the mean of its divisors is an integer number (69728537424).

Almost surely, 22231111313312 is an apocalyptic number.

It is an amenable number.

2231111313312 is an abundant number, since it is smaller than the sum of its proper divisors (4462828279392).

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

2231111313312 is a wasteful number, since it uses less digits than its factorization.

2231111313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300442 (or 300434 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 2231111313312 its reverse (2133131111322), we get a palindrome (4364242424634).

The spelling of 2231111313312 in words is "two trillion, two hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 11491 22982 34473 45964 68946 80437 91928 137892 160874 183856 241311 275784 288931 321748 367712 482622 551568 577862 643496 866793 965244 1103136 1155724 1286992 1733586 1930488 2022517 2311448 2573984 3467172 3860976 4045034 4622896 6067551 6934344 7721952 8090068 9245792 12135102 13868688 16180136 24270204 27737376 32360272 48540408 64720544 97080816 194161632 3320106121 6640212242 9960318363 13280424484 19920636726 23240742847 26560848968 39841273452 46481485694 53121697936 69722228541 79682546904 92962971388 106243395872 139444457082 159365093808 185925942776 278888914164 318730187616 371851885552 557777828328 743703771104 1115555656656 2231111313312