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313223212332 = 223319152642891
BaseRepresentation
bin1001000111011011000…
…11101110110100101100
31002221111001201210222000
410203231203232310230
520112440120243312
6355520500252300
731425651242652
oct4435543566454
91087431653860
10313223212332
11110923379458
12508559a1090
13236c95241c4
14112353b2dd2
158233502adc
hex48ed8eed2c

313223212332 has 48 divisors (see below), whose sum is σ = 854800195200. Its totient is φ = 98912592720.

The previous prime is 313223212319. The next prime is 313223212363. The reversal of 313223212332 is 233212322313.

313223212332 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 321 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 313223212296 and 313223212305.

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, 76319394 + ... + 76323497.

It is an arithmetic number, because the mean of its divisors is an integer number (17808337400).

Almost surely, 2313223212332 is an apocalyptic number.

It is an amenable number.

313223212332 is an abundant number, since it is smaller than the sum of its proper divisors (541576982868).

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

313223212332 is a wasteful number, since it uses less digits than its factorization.

313223212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152642923 (or 152642915 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 313223212332 its reverse (233212322313), we get a palindrome (546435534645).

The spelling of 313223212332 in words is "three hundred thirteen billion, two hundred twenty-three million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 152642891 305285782 457928673 610571564 915857346 1373786019 1831714692 2747572038 2900214929 4121358057 5495144076 5800429858 8242716114 8700644787 11600859716 16485432228 17401289574 26101934361 34802579148 52203868722 78305803083 104407737444 156611606166 313223212332