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33970131 = 3313175693
BaseRepresentation
bin1000000110010…
…1011111010011
32100220212021000
42001211133103
532144021011
63212033043
7561512166
oct201453723
970825230
1033970131
11181a2298
12b462783
137065090
144723add
152eb0356
hex20657d3

33970131 has 32 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 19671552.

The previous prime is 33970117. The next prime is 33970147. The reversal of 33970131 is 13107933.

33970131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33970131 - 210 = 33969107 is a prime.

It is a super-2 number, since 2×339701312 = 2307939600314322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33970095 and 33970104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33970171) 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, 3121 + ... + 8813.

It is an arithmetic number, because the mean of its divisors is an integer number (1793610).

Almost surely, 233970131 is an apocalyptic number.

33970131 is a deficient number, since it is larger than the sum of its proper divisors (23425389).

33970131 is a wasteful number, since it uses less digits than its factorization.

33970131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 33970131 is about 5828.3900864647. The cubic root of 33970131 is about 323.8662857018.

The spelling of 33970131 in words is "thirty-three million, nine hundred seventy thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5693 5967 17079 51237 74009 96781 153711 222027 290343 666081 871029 1258153 1998243 2613087 3774459 11323377 33970131