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31230031302 = 2341923791409
BaseRepresentation
bin11101000101011101…
…000111010111000110
32222121110210222010000
4131011131013113012
51002424342000202
622202531542130
72153623612641
oct350535072706
988543728100
1031230031302
11122765a1828
126076a5a946
132c39172882
141723954a58
15c2bae791c
hex7457475c6

31230031302 has 120 divisors (see below), whose sum is σ = 74102747400. Its totient is φ = 9829112832.

The previous prime is 31230031243. The next prime is 31230031307. The reversal of 31230031302 is 20313003213.

31230031302 is a `hidden beast` number, since 31 + 2 + 300 + 31 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31230031307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22163974 + ... + 22165382.

It is an arithmetic number, because the mean of its divisors is an integer number (617522895).

Almost surely, 231230031302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31230031302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051373700).

31230031302 is an abundant number, since it is smaller than the sum of its proper divisors (42872716098).

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

31230031302 is a wasteful number, since it uses less digits than its factorization.

31230031302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31230031302 its reverse (20313003213), we get a palindrome (51543034515).

The spelling of 31230031302 in words is "thirty-one billion, two hundred thirty million, thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 379 513 722 758 1026 1083 1137 1409 1539 2166 2274 2818 3078 3249 3411 4227 6498 6822 7201 8454 9747 10233 12681 14402 19494 20466 21603 25362 26771 29241 30699 38043 43206 53542 58482 61398 64809 76086 80313 114129 129618 136819 160626 194427 228258 240939 273638 388854 410457 481878 508649 534011 583281 722817 820914 1017298 1068022 1166562 1231371 1445634 1525947 1602033 2168451 2462742 3051894 3204066 3694113 4336902 4577841 4806099 7388226 9155682 9612198 10146209 11082339 13733523 14418297 20292418 22164678 27467046 28836594 30438627 41200569 43254891 60877254 82401138 86509782 91315881 182631762 192777971 273947643 385555942 547895286 578333913 821842929 1156667826 1643685858 1735001739 3470003478 5205005217 10410010434 15615015651 31230031302