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31173080481 = 3222922572
BaseRepresentation
bin11101000010000011…
…110111010110100001
32222110111122120021100
4131002003313112201
51002320302033411
622153135145013
72152332545364
oct350203672641
988414576240
1031173080481
1112247433834
12605b975169
132c2a42276a
14171a16c0db
15c26ae8456
hex7420f75a1

31173080481 has 27 divisors (see below), whose sum is σ = 45401927961. Its totient is φ = 20610791424.

The previous prime is 31173080479. The next prime is 31173080483. The reversal of 31173080481 is 18408037113.

The square root of 31173080481 is 176559.

It is a perfect power (a square), and thus also a powerful number.

31173080481 is a `hidden beast` number, since 3 + 1 + 173 + 0 + 8 + 0 + 481 = 666.

It is an interprime number because it is at equal distance from previous prime (31173080479) and next prime (31173080483).

It can be written as a sum of positive squares in 4 ways, for example, as 26668523025 + 4504557456 = 163305^2 + 67116^2 .

It is not a de Polignac number, because 31173080481 - 21 = 31173080479 is a prime.

It is a super-2 number, since 2×311730804812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31173080483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121295905 + ... + 121296161.

Almost surely, 231173080481 is an apocalyptic number.

31173080481 is the 176559-th square number.

31173080481 is the 88280-th centered octagonal number.

It is an amenable number.

31173080481 is a deficient number, since it is larger than the sum of its proper divisors (14228847480).

31173080481 is an frugal number, since it uses more digits than its factorization.

31173080481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 31173080481 by its sum of digits (36), we get a square (1122230897316 = 10593542).

The spelling of 31173080481 in words is "thirty-one billion, one hundred seventy-three million, eighty thousand, four hundred eighty-one".

Divisors: 1 3 9 229 257 687 771 2061 2313 52441 58853 66049 157323 176559 198147 471969 529677 594441 13477337 15125221 40432011 45375663 121296033 136126989 3463675609 10391026827 31173080481