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31146661 = 7133161181
BaseRepresentation
bin111011011010…
…0001010100101
32011121102012001
41312310022211
530433143121
63031325301
7525512410
oct166641245
964542161
1031146661
1116643a47
12a520831
1365b6ba0
1441cab77
152b03991
hex1db42a5

31146661 has 32 divisors (see below), whose sum is σ = 40441856. Its totient is φ = 23328000.

The previous prime is 31146659. The next prime is 31146673. The reversal of 31146661 is 16664113.

It is a 4-Lehmer number, since φ(31146661) divides (31146661-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 31146661 - 21 = 31146659 is a prime.

It is a super-2 number, since 2×311466612 = 1940228982897842, which contains 22 as substring.

It is a deceptive number, since it divides R31146660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31146161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171991 + ... + 172171.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

It is a Poulet number, since it divides 231146660-1.

Almost surely, 231146661 is an apocalyptic number.

31146661 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31146661 is a deficient number, since it is larger than the sum of its proper divisors (9295195).

31146661 is a wasteful number, since it uses less digits than its factorization.

31146661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 2592, while the sum is 28.

The square root of 31146661 is about 5580.9193687062. The cubic root of 31146661 is about 314.6326817759.

The spelling of 31146661 in words is "thirty-one million, one hundred forty-six thousand, six hundred sixty-one".

Divisors: 1 7 13 31 61 91 181 217 403 427 793 1267 1891 2353 2821 5551 5611 11041 13237 16471 24583 39277 72943 77287 143533 172081 342271 510601 1004731 2395897 4449523 31146661