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1312112210031 = 327372029727733
BaseRepresentation
bin10011000101111111111…
…110110111000001101111
311122102210100121110210200
4103011333332313001233
5132444201211210111
62442435342204543
7163540235523150
oct23057776670157
94572710543720
101312112210031
11466511154927
12192367883753
139696858921c
1447714055927
15241e745d256
hex1317ffb706f

1312112210031 has 48 divisors (see below), whose sum is σ = 2224757580864. Its totient is φ = 729451878912.

The previous prime is 1312112210027. The next prime is 1312112210047. The reversal of 1312112210031 is 1300122112131.

1312112210031 is a `hidden beast` number, since 1 + 312 + 112 + 210 + 0 + 31 = 666.

It is not a de Polignac number, because 1312112210031 - 22 = 1312112210027 is a prime.

It is a super-2 number, since 2×13121122100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312112209986 and 1312112210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312112210021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47298441 + ... + 47326173.

It is an arithmetic number, because the mean of its divisors is an integer number (46349116268).

Almost surely, 21312112210031 is an apocalyptic number.

1312112210031 is a deficient number, since it is larger than the sum of its proper divisors (912645370833).

1312112210031 is a wasteful number, since it uses less digits than its factorization.

1312112210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48080 (or 48077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1312112210031 its reverse (1300122112131), we get a palindrome (2612234322162).

The spelling of 1312112210031 in words is "one trillion, three hundred twelve billion, one hundred twelve million, two hundred ten thousand, thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 20297 27733 60891 83199 142079 182673 194131 249597 426237 582393 750989 1026121 1278711 1747179 2252967 3078363 5256923 6758901 7182847 9235089 15770769 21548541 47312307 64645623 562896701 1688690103 3940276907 5066070309 11820830721 20827177937 35462492163 62481533811 145790245559 187444601433 437370736677 1312112210031