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12101131211031 = 33717979905517
BaseRepresentation
bin1011000000011000001110…
…1000001001000100010111
31120211212010122021220212000
42300012003220021010113
53041231104042223111
641423103302530343
72356164212065242
oct260060350110427
946755118256760
1012101131211031
113946074102555
1214353444369b3
1369a19368a265
142db9aad84259
1515eba1608c56
hexb0183a09117

12101131211031 has 32 divisors (see below), whose sum is σ = 18410231347200. Its totient is φ = 7853114112480.

The previous prime is 12101131211009. The next prime is 12101131211033. The reversal of 12101131211031 is 13011213110121.

12101131211031 is a `hidden beast` number, since 1 + 210 + 1 + 1 + 312 + 110 + 31 = 666.

It is not a de Polignac number, because 12101131211031 - 226 = 12101064102167 is a prime.

It is a super-2 number, since 2×121011312110312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101131210995 and 12101131211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101131211033) 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, 39801316 + ... + 40104201.

It is an arithmetic number, because the mean of its divisors is an integer number (575319729600).

Almost surely, 212101131211031 is an apocalyptic number.

12101131211031 is a deficient number, since it is larger than the sum of its proper divisors (6309100136169).

12101131211031 is an equidigital number, since it uses as much as digits as its factorization.

12101131211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79905676 (or 79905670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12101131211031 its reverse (13011213110121), we get a palindrome (25112344321152).

The spelling of 12101131211031 in words is "twelve trillion, one hundred one billion, one hundred thirty-one million, two hundred eleven thousand, thirty-one".

Divisors: 1 3 9 27 71 79 213 237 639 711 1917 2133 5609 16827 50481 151443 79905517 239716551 719149653 2157448959 5673291707 6312535843 17019875121 18937607529 51059625363 56812822587 153178876089 170438467761 448190044853 1344570134559 4033710403677 12101131211031