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31129014 = 2372113937
BaseRepresentation
bin111011010111…
…1110110110110
32011120111222110
41312233312312
530432112024
63031111450
7525410100
oct166576666
964514873
1031129014
1116631764
12a512586
1365abb47
1441c4570
152aed629
hex1dafdb6

31129014 has 48 divisors (see below), whose sum is σ = 73141488. Its totient is φ = 8805888.

The previous prime is 31129013. The next prime is 31129039. The reversal of 31129014 is 41092113.

It is a super-2 number, since 2×311290142 = 1938031025224392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31129013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32754 + ... + 33690.

It is an arithmetic number, because the mean of its divisors is an integer number (1523781).

Almost surely, 231129014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31129014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36570744).

31129014 is an abundant number, since it is smaller than the sum of its proper divisors (42012474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31129014 is a wasteful number, since it uses less digits than its factorization.

31129014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 31129014 is about 5579.3381327896. The cubic root of 31129014 is about 314.5732492750.

The spelling of 31129014 in words is "thirty-one million, one hundred twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 678 791 937 1582 1874 2373 2811 4746 5537 5622 6559 11074 13118 16611 19677 33222 39354 45913 91826 105881 137739 211762 275478 317643 635286 741167 1482334 2223501 4447002 5188169 10376338 15564507 31129014