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31000977 = 327270297
BaseRepresentation
bin111011001000…
…0100110010001
32011100000100100
41312100212101
530414012402
63024243013
7524334600
oct166204621
964300310
1031000977
1116554547
12a470469
136565797
14418da37
152ac571c
hex1d90991

31000977 has 18 divisors (see below), whose sum is σ = 52090818. Its totient is φ = 17714592.

The previous prime is 31000969. The next prime is 31000997. The reversal of 31000977 is 77900013.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 2099601 = 5376^2 + 1449^2 .

It is not a de Polignac number, because 31000977 - 23 = 31000969 is a prime.

It is a super-2 number, since 2×310009772 = 1922121149909058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31000977.

It is not an unprimeable number, because it can be changed into a prime (31000927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34708 + ... + 35589.

Almost surely, 231000977 is an apocalyptic number.

It is an amenable number.

31000977 is a deficient number, since it is larger than the sum of its proper divisors (21089841).

31000977 is a wasteful number, since it uses less digits than its factorization.

31000977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70317 (or 70307 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 31000977 is about 5567.8520993288. The cubic root of 31000977 is about 314.1413653431.

The spelling of 31000977 in words is "thirty-one million, nine hundred seventy-seven", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 147 441 70297 210891 492079 632673 1476237 3444553 4428711 10333659 31000977