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31164232110 = 235113117317609
BaseRepresentation
bin11101000001100010…
…000111000110101110
32222102220000000120220
4131001202013012232
51002311020411420
622152221352210
72152164413364
oct350142070656
988386000526
1031164232110
111224243a930
126058a08666
132c2864513b
141718d07634
15c25e4b840
hex7418871ae

31164232110 has 128 divisors (see below), whose sum is σ = 84717342720. Its totient is φ = 7268582400.

The previous prime is 31164232109. The next prime is 31164232147. The reversal of 31164232110 is 1123246113.

It is a happy number.

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, 1760986 + ... + 1778594.

It is an arithmetic number, because the mean of its divisors is an integer number (661854240).

Almost surely, 231164232110 is an apocalyptic number.

31164232110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31164232110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42358671360).

31164232110 is an abundant number, since it is smaller than the sum of its proper divisors (53553110610).

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

31164232110 is a wasteful number, since it uses less digits than its factorization.

31164232110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17834.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31164232110 its reverse (1123246113), we get a palindrome (32287478223).

The spelling of 31164232110 in words is "thirty-one billion, one hundred sixty-four million, two hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 173 186 310 330 341 346 465 519 682 865 930 1023 1038 1705 1730 1903 2046 2595 3410 3806 5115 5190 5363 5709 9515 10230 10726 11418 16089 17609 19030 26815 28545 32178 35218 52827 53630 57090 58993 80445 88045 105654 117986 160890 176090 176979 193699 264135 294965 353958 387398 528270 545879 581097 589930 884895 968495 1091758 1162194 1637637 1769790 1936990 2729395 2905485 3046357 3275274 5458790 5810970 6004669 6092714 8188185 9139071 12009338 15231785 16376370 18014007 18278142 30023345 30463570 33509927 36028014 45695355 60046690 67019854 90070035 91390710 94437067 100529781 167549635 180140070 188874134 201059562 283311201 335099270 472185335 502648905 566622402 944370670 1005297810 1038807737 1416556005 2077615474 2833112010 3116423211 5194038685 6232846422 10388077370 15582116055 31164232110