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31111130442 = 23719179353617
BaseRepresentation
bin11100111110010111…
…100010110101001010
32222022012002011210110
4130332113202311022
51002203422133232
622143043255150
72150651150130
oct347627426512
988265064713
1031111130442
1112215470857
12604307a4b6
132c1a642032
141711c43750
15c2145cacc
hex73e5e2d4a

31111130442 has 128 divisors (see below), whose sum is σ = 75607603200. Its totient is φ = 8336756736.

The previous prime is 31111130399. The next prime is 31111130459. The reversal of 31111130442 is 24403111113.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 50422918 + ... + 50423534.

It is an arithmetic number, because the mean of its divisors is an integer number (590684400).

Almost surely, 231111130442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111130442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37803801600).

31111130442 is an abundant number, since it is smaller than the sum of its proper divisors (44496472758).

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

31111130442 is a wasteful number, since it uses less digits than its factorization.

31111130442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180.

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

Adding to 31111130442 its reverse (24403111113), we get a palindrome (55514241555).

The spelling of 31111130442 in words is "thirty-one billion, one hundred eleven million, one hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 179 266 353 358 399 537 617 706 798 1059 1074 1234 1253 1851 2118 2471 2506 3401 3702 3759 4319 4942 6707 6802 7413 7518 8638 10203 11723 12957 13414 14826 20121 20406 23446 23807 25914 35169 40242 46949 47614 63187 70338 71421 82061 93898 110443 126374 140847 142842 164122 189561 217801 220886 246183 281694 331329 379122 435602 442309 492366 653403 662658 773101 884618 1200553 1306806 1326927 1524607 1546202 2098417 2319303 2401106 2653854 3049214 3601659 4138219 4196834 4573821 4638606 6295251 7203318 8276438 8403871 9147642 12414657 12590502 14688919 16807742 24829314 25211613 28967533 29377838 38986379 44066757 50423226 57935066 77972758 86902599 88133514 116959137 173805198 233918274 272904653 545809306 740741201 818713959 1481482402 1637427918 2222223603 4444447206 5185188407 10370376814 15555565221 31111130442