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31053132 = 2234118713
BaseRepresentation
bin111011001110…
…1010101001100
32011102122220000
41312131111030
530422200012
63025324300
7524642625
oct166352514
964378800
1031053132
111658a750
12a496690
136583446
1441a4a4c
152ad5ddc
hex1d9d54c

31053132 has 60 divisors (see below), whose sum is σ = 88569096. Its totient is φ = 9408960.

The previous prime is 31053131. The next prime is 31053137. The reversal of 31053132 is 23135013.

It is a super-3 number, since 3×310531323 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31053131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 793 + ... + 7920.

Almost surely, 231053132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31053132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44284548).

31053132 is an abundant number, since it is smaller than the sum of its proper divisors (57515964).

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

31053132 is a wasteful number, since it uses less digits than its factorization.

31053132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 31053132 is about 5572.5337145683. The cubic root of 31053132 is about 314.3174335952.

Adding to 31053132 its reverse (23135013), we get a palindrome (54188145).

The spelling of 31053132 in words is "thirty-one million, fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 8713 17426 26139 34852 52278 78417 95843 104556 156834 191686 235251 287529 313668 383372 470502 575058 705753 862587 941004 1150116 1411506 1725174 2587761 2823012 3450348 5175522 7763283 10351044 15526566 31053132