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31130814 = 23111322791
BaseRepresentation
bin111011011000…
…0010010111110
32011120121110010
41312300102332
530432141224
63031124050
7525415251
oct166602276
964517403
1031130814
1116633050
12a513626
1365ac900
1441c5098
152aede29
hex1db04be

31130814 has 48 divisors (see below), whose sum is σ = 73574784. Its totient is φ = 8704800.

The previous prime is 31130809. The next prime is 31130837. The reversal of 31130814 is 41803113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9759 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (1532808).

Almost surely, 231130814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787392).

31130814 is an abundant number, since it is smaller than the sum of its proper divisors (42443970).

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

31130814 is a wasteful number, since it uses less digits than its factorization.

31130814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 31130814 is about 5579.4994399139. The cubic root of 31130814 is about 314.5793124388.

Adding to 31130814 its reverse (41803113), we get a palindrome (72933927).

It can be divided in two parts, 311 and 30814, that added together give a triangular number (31125 = T249).

The spelling of 31130814 in words is "thirty-one million, one hundred thirty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2791 3718 5577 5582 8373 11154 16746 30701 36283 61402 72566 92103 108849 184206 217698 399113 471679 798226 943358 1197339 1415037 2394678 2830074 5188469 10376938 15565407 31130814