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31067235081 = 3241214332
BaseRepresentation
bin11100111011110000…
…000110001100001001
32222012010111001200100
4130323300012030021
51002111203010311
622134434400013
72146606066251
oct347360061411
988163431610
1031067235081
11121a270a5a3
126030430009
132c1151344c
14170a098961
15c1c68ba56
hex73bc06309

31067235081 has 27 divisors (see below), whose sum is σ = 46028220277. Its totient is φ = 20192231040.

The previous prime is 31067235053. The next prime is 31067235083. The reversal of 31067235081 is 18053276013.

The square root of 31067235081 is 176259.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1281998025 + 29785237056 = 35805^2 + 172584^2 .

It is not a de Polignac number, because 31067235081 - 211 = 31067233033 is a prime.

It is a super-2 number, since 2×310672350812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31067235083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21679141 + ... + 21680573.

Almost surely, 231067235081 is an apocalyptic number.

31067235081 is the 176259-th square number.

31067235081 is the 88130-th centered octagonal number.

It is an amenable number.

31067235081 is a deficient number, since it is larger than the sum of its proper divisors (14960985196).

31067235081 is an frugal number, since it uses more digits than its factorization.

31067235081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 31067235081 by its sum of digits (36), we get a square (1118420462916 = 10575542).

The spelling of 31067235081 in words is "thirty-one billion, sixty-seven million, two hundred thirty-five thousand, eighty-one".

Divisors: 1 3 9 41 123 369 1433 1681 4299 5043 12897 15129 58753 176259 528777 2053489 2408873 6160467 7226619 18481401 21679857 84193049 252579147 757737441 3451915009 10355745027 31067235081