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31102214113431 = 3319129746744871
BaseRepresentation
bin1110001001001100011000…
…11011001000100010010111
311002010100020210000010212000
413010212030123020202113
513034034313303112211
6150052054312530343
76360026600644026
oct704461433104227
9132110223003760
1031102214113431
119a0141404125a
1235a39986b09b3
131447c06b4aac6
147974d89268bd
1538e08ed33656
hex1c498c6c8897

31102214113431 has 32 divisors (see below), whose sum is σ = 48539875084800. Its totient is φ = 19628357892480.

The previous prime is 31102214113429. The next prime is 31102214113493. The reversal of 31102214113431 is 13431141220113.

31102214113431 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 2 + 214 + 1 + 13 + 431 = 666.

It is not a de Polignac number, because 31102214113431 - 21 = 31102214113429 is a prime.

It is a super-2 number, since 2×311022141134312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31102214113395 and 31102214113404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102214113031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22707075 + ... + 24037796.

It is an arithmetic number, because the mean of its divisors is an integer number (1516871096400).

Almost surely, 231102214113431 is an apocalyptic number.

31102214113431 is a deficient number, since it is larger than the sum of its proper divisors (17437660971369).

31102214113431 is a wasteful number, since it uses less digits than its factorization.

31102214113431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46746196 (or 46746190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 31102214113431 its reverse (13431141220113), we get a palindrome (44533355333544).

The spelling of 31102214113431 in words is "thirty-one trillion, one hundred two billion, two hundred fourteen million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 1297 3891 11673 24643 35019 73929 221787 665361 46744871 140234613 420703839 888152549 1262111517 2664457647 7993372941 23980118823 60628097687 181884293061 545652879183 1151933856053 1636958637549 3455801568159 10367404704477 31102214113431