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31101255144 = 233210914926597
BaseRepresentation
bin11100111101110001…
…110111110111101000
32222021111111110102200
4130331301313313220
51002143410131034
622142051500200
72150501210151
oct347561676750
988244443380
1031101255144
111220a936353
12603b8b7660
132c1859516b
1417107d2928
15c2065ba99
hex73dc77de8

31101255144 has 96 divisors (see below), whose sum is σ = 85579065000. Its totient is φ = 10202651136.

The previous prime is 31101255071. The next prime is 31101255179. The reversal of 31101255144 is 44155210113.

31101255144 is a `hidden beast` number, since 3 + 1 + 101 + 2 + 551 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28777051044 + 2324204100 = 169638^2 + 48210^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156054 + ... + 1182650.

Almost surely, 231101255144 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 31101255144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42789532500).

31101255144 is an abundant number, since it is smaller than the sum of its proper divisors (54477809856).

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

31101255144 is a wasteful number, since it uses less digits than its factorization.

31101255144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26867 (or 26860 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 31101255144 its reverse (44155210113), we get a palindrome (75256465257).

The spelling of 31101255144 in words is "thirty-one billion, one hundred one million, two hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 149 218 298 327 436 447 596 654 872 894 981 1192 1308 1341 1788 1962 2616 2682 3576 3924 5364 7848 10728 16241 26597 32482 48723 53194 64964 79791 97446 106388 129928 146169 159582 194892 212776 239373 292338 319164 389784 478746 584676 638328 957492 1169352 1914984 2899073 3962953 5798146 7925906 8697219 11596292 11888859 15851812 17394438 23192584 23777718 26091657 31703624 34788876 35666577 47555436 52183314 69577752 71333154 95110872 104366628 142666308 208733256 285332616 431961877 863923754 1295885631 1727847508 2591771262 3455695016 3887656893 5183542524 7775313786 10367085048 15550627572 31101255144