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31133997 = 3371109149
BaseRepresentation
bin111011011000…
…1000100101101
32011120202211000
41312301010231
530432241442
63031150513
7525430446
oct166610455
964522730
1031133997
1116635484
12a515439
1365b11ab
1441c62cd
152aeed4c
hex1db112d

31133997 has 32 divisors (see below), whose sum is σ = 47520000. Its totient is φ = 20139840.

The previous prime is 31133981. The next prime is 31134001. The reversal of 31133997 is 79933113.

31133997 is a `hidden beast` number, since 311 + 339 + 9 + 7 = 666.

It is not a de Polignac number, because 31133997 - 24 = 31133981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133917) 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, 208879 + ... + 209027.

It is an arithmetic number, because the mean of its divisors is an integer number (1485000).

Almost surely, 231133997 is an apocalyptic number.

It is an amenable number.

31133997 is a deficient number, since it is larger than the sum of its proper divisors (16386003).

31133997 is a wasteful number, since it uses less digits than its factorization.

31133997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 15309, while the sum is 36.

The square root of 31133997 is about 5579.7846732647. The cubic root of 31133997 is about 314.5900335615.

The spelling of 31133997 in words is "thirty-one million, one hundred thirty-three thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 71 109 149 213 327 447 639 981 1341 1917 2943 4023 7739 10579 16241 23217 31737 48723 69651 95211 146169 208953 285633 438507 1153111 3459333 10377999 31133997