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31113342 = 23313234147
BaseRepresentation
bin111011010110…
…0000001111110
32011112201111000
41312230001332
530431111332
63030511130
7525313311
oct166540176
964481430
1031113342
1116620a07
12a5054a6
1365a4980
1441bc978
152ae8b7c
hex1dac07e

31113342 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 8743680.

The previous prime is 31113323. The next prime is 31113359. The reversal of 31113342 is 24331113.

31113342 is a `hidden beast` number, since 311 + 13 + 342 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661963 + ... + 662009.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 231113342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

31113342 is an abundant number, since it is smaller than the sum of its proper divisors (50171778).

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

31113342 is a wasteful number, since it uses less digits than its factorization.

31113342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31113342 is about 5577.9334883091. The cubic root of 31113342 is about 314.5204494493.

Adding to 31113342 its reverse (24331113), we get a palindrome (55444455).

The spelling of 31113342 in words is "thirty-one million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 41 46 47 54 69 78 82 94 117 123 138 141 207 234 246 282 299 351 369 414 423 533 598 611 621 702 738 846 897 943 1066 1081 1107 1222 1242 1269 1599 1794 1833 1886 1927 2162 2214 2538 2691 2829 3198 3243 3666 3854 4797 5382 5499 5658 5781 6486 8073 8487 9594 9729 10998 11562 12259 14053 14391 16146 16497 16974 17343 19458 24518 25051 25461 28106 28782 29187 32994 34686 36777 42159 44321 50102 50922 52029 58374 73554 75153 84318 88642 104058 110331 126477 132963 150306 220662 225459 252954 265926 330993 379431 398889 450918 576173 661986 676377 758862 797778 1152346 1196667 1352754 1728519 2393334 3457038 5185557 10371114 15556671 31113342