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312222112013 = 72171795720873
BaseRepresentation
bin1001000101100011110…
…00110101100100001101
31002211220021222122111102
410202301320311210031
520103412330041023
6355233255232445
731362104110100
oct4426170654415
91084807878442
10312222112013
1111045a273a19
1250616678725
1323599cc0256
141117c45a737
1581c56a5628
hex48b1e3590d

312222112013 has 24 divisors (see below), whose sum is σ = 384601529592. Its totient is φ = 251850568704.

The previous prime is 312222111931. The next prime is 312222112021. The reversal of 312222112013 is 310211222213.

It can be written as a sum of positive squares in 4 ways, for example, as 171924671044 + 140297440969 = 414638^2 + 374563^2 .

It is not a de Polignac number, because 312222112013 - 222 = 312217917709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312222112613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14947745 + ... + 14968617.

It is an arithmetic number, because the mean of its divisors is an integer number (16025063733).

Almost surely, 2312222112013 is an apocalyptic number.

It is an amenable number.

312222112013 is a deficient number, since it is larger than the sum of its proper divisors (72379417579).

312222112013 is a wasteful number, since it uses less digits than its factorization.

312222112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38861 (or 38854 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312222112013 its reverse (310211222213), we get a palindrome (622433334226).

The spelling of 312222112013 in words is "three hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, thirteen".

Divisors: 1 7 17 49 119 833 17957 20873 125699 146111 305269 354841 879893 1022777 2136883 2483887 14958181 17387209 374816461 2623715227 6371879837 18366006589 44603158859 312222112013