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31312321110 = 2325749702097
BaseRepresentation
bin11101001010010111…
…000001101001010110
32222211012122201111200
4131022113001221112
51003111423233420
622215031413330
72155643223630
oct351227015126
988735581450
1031312321110
1112308a97334
12609a524246
132c50225275
141730855a50
15c33e4eb90
hex74a5c1a56

31312321110 has 48 divisors (see below), whose sum is σ = 93042327456. Its totient is φ = 7157101824.

The previous prime is 31312321087. The next prime is 31312321133. The reversal of 31312321110 is 1112321313.

31312321110 is a `hidden beast` number, since 31 + 312 + 321 + 1 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31312321087) and next prime (31312321133).

It is a super-2 number, since 2×313123211102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24850419 + ... + 24851678.

It is an arithmetic number, because the mean of its divisors is an integer number (1938381822).

Almost surely, 231312321110 is an apocalyptic number.

31312321110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31312321110 is an abundant number, since it is smaller than the sum of its proper divisors (61730006346).

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

31312321110 is a wasteful number, since it uses less digits than its factorization.

31312321110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49702117 (or 49702114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31312321110 its reverse (1112321313), we get a palindrome (32424642423).

The spelling of 31312321110 in words is "thirty-one billion, three hundred twelve million, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 49702097 99404194 149106291 248510485 298212582 347914679 447318873 497020970 695829358 745531455 894637746 1043744037 1491062910 1739573395 2087488074 2236594365 3131232111 3479146790 4473188730 5218720185 6262464222 10437440370 15656160555 31312321110