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31023212102129 = 1317349402225001
BaseRepresentation
bin1110000110111001001111…
…00010011000000111110001
311001211210022222210010222102
413003130213202120013301
513031241014244232004
6145551511125350145
76351232054635332
oct703344742300761
9131753288703872
1031023212102129
119980963504925
12359060ab68355
1314406266ca860
14793762534289
1538beb929a11e
hex1c37278981f1

31023212102129 has 16 divisors (see below), whose sum is σ = 35476245176400. Its totient is φ = 26875065600000.

The previous prime is 31023212102123. The next prime is 31023212102293. The reversal of 31023212102129 is 92120121232013.

It can be written as a sum of positive squares in 8 ways, for example, as 215994421504 + 30807217680625 = 464752^2 + 5550425^2 .

It is a cyclic number.

It is not a de Polignac number, because 31023212102129 - 232 = 31018917134833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31023212102123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201035372 + ... + 201189629.

It is an arithmetic number, because the mean of its divisors is an integer number (2217265323525).

Almost surely, 231023212102129 is an apocalyptic number.

It is an amenable number.

31023212102129 is a deficient number, since it is larger than the sum of its proper divisors (4453033074271).

31023212102129 is a wasteful number, since it uses less digits than its factorization.

31023212102129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402225380.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 31023212102129 in words is "thirty-one trillion, twenty-three billion, two hundred twelve million, one hundred two thousand, one hundred twenty-nine".

Divisors: 1 13 17 221 349 4537 5933 77129 402225001 5228925013 6837825017 88891725221 140376525349 1824894829537 2386400930933 31023212102129