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1312123323 = 37286310343
BaseRepresentation
bin100111000110101…
…0110100110111011
310101102222202211010
41032031112212323
510141400421243
6334111205003
744341602300
oct11615264673
93342882733
101312123323
11613728745
12307516763
1317bac1144
14c63990a7
157a2d7433
hex4e3569bb

1312123323 has 24 divisors (see below), whose sum is σ = 2037685248. Its totient is φ = 748843536.

The previous prime is 1312123301. The next prime is 1312123327. The reversal of 1312123323 is 3233212131.

It is not a de Polignac number, because 1312123323 - 212 = 1312119227 is a prime.

It is a super-3 number, since 3×13121233233 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1312123323.

It is not an unprimeable number, because it can be changed into a prime (1312123327) 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, 121690 + ... + 132032.

It is an arithmetic number, because the mean of its divisors is an integer number (84903552).

Almost surely, 21312123323 is an apocalyptic number.

1312123323 is a deficient number, since it is larger than the sum of its proper divisors (725561925).

1312123323 is a wasteful number, since it uses less digits than its factorization.

1312123323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11216 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1312123323 is about 36223.2428559344. The cubic root of 1312123323 is about 1094.7750343707.

Adding to 1312123323 its reverse (3233212131), we get a palindrome (4545335454).

The spelling of 1312123323 in words is "one billion, three hundred twelve million, one hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 7 21 49 147 863 2589 6041 10343 18123 31029 42287 72401 126861 217203 506807 1520421 8926009 26778027 62482063 187446189 437374441 1312123323