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31246920029 = 1329121368329
BaseRepresentation
bin11101000110011101…
…100010100101011101
32222122122121000002102
4131012131202211131
51002443202420104
622204333534445
72154220303133
oct350635424535
988578530072
1031246920029
1112285087556
126080644425
132c3c806ac0
141725cad753
15c2d331a1e
hex74676295d

31246920029 has 16 divisors (see below), whose sum is σ = 34840100400. Its totient is φ = 27825348096.

The previous prime is 31246920013. The next prime is 31246920059. The reversal of 31246920029 is 92002964213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1056120004 + 30190800025 = 32498^2 + 173755^2 .

It is not a de Polignac number, because 31246920029 - 24 = 31246920013 is a prime.

It is a super-2 number, since 2×312469200292 (a number of 22 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 = 31246919974 and 31246920001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31246920059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423137 + ... + 491465.

It is an arithmetic number, because the mean of its divisors is an integer number (2177506275).

Almost surely, 231246920029 is an apocalyptic number.

It is an amenable number.

31246920029 is a deficient number, since it is larger than the sum of its proper divisors (3593180371).

31246920029 is a wasteful number, since it uses less digits than its factorization.

31246920029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69584.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 31246920029 in words is "thirty-one billion, two hundred forty-six million, nine hundred twenty thousand, twenty-nine".

Divisors: 1 13 29 377 1213 15769 35177 68329 457301 888277 1981541 25760033 82883077 1077480001 2403609233 31246920029