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13212103012031 = 71110310729155269
BaseRepresentation
bin1100000001000010111010…
…1101001110111010111111
31201210001202011201221001202
43000100232231032322333
53212431341332341111
644033320100130115
72532354141430640
oct300205655167277
951701664657052
1013212103012031
114234248790a80
12159471669693b
1374ab85598871
1433967d69b6c7
1517da25428b3b
hexc042eb4eebf

13212103012031 has 32 divisors (see below), whose sum is σ = 16633814246400. Its totient is φ = 10194176436480.

The previous prime is 13212103012021. The next prime is 13212103012033. The reversal of 13212103012031 is 13021030121231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13212103012031 - 26 = 13212103011967 is a prime.

It is a super-2 number, since 2×132121030120312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13212103011994 and 13212103012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212103012033) 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, 85014065 + ... + 85169333.

It is an arithmetic number, because the mean of its divisors is an integer number (519806695200).

Almost surely, 213212103012031 is an apocalyptic number.

13212103012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13212103012031 is a deficient number, since it is larger than the sum of its proper divisors (3421711234369).

13212103012031 is a wasteful number, since it uses less digits than its factorization.

13212103012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166119.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13212103012031 its reverse (13021030121231), we get a palindrome (26233133133262).

The spelling of 13212103012031 in words is "thirteen trillion, two hundred twelve billion, one hundred three million, twelve thousand, thirty-one".

Divisors: 1 7 11 77 103 721 1133 7931 10729 75103 118019 155269 826133 1086883 1105087 1707959 7735609 11955713 12155957 15992707 85091699 111948949 175919777 1231438439 1665881101 11661167707 18324692111 128272844777 171585753403 1201100273821 1887443287433 13212103012031