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31313442132 = 22337157263821
BaseRepresentation
bin11101001010011011…
…010011010101010100
32222211021202200021000
4131022123103111110
51003112220122012
622215111423300
72155655603130
oct351233232524
988737680230
1031313442132
11123096925a5
12609a984b30
132c505285ab
141730a683c0
15c340c1ddc
hex74a6d3554

31313442132 has 96 divisors (see below), whose sum is σ = 93371882240. Its totient is φ = 8889678720.

The previous prime is 31313442109. The next prime is 31313442163. The reversal of 31313442132 is 23124431313.

It is a happy number.

31313442132 is a `hidden beast` number, since 313 + 1 + 344 + 2 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×313134421322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31313442096 and 31313442105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13219 + ... + 250602.

Almost surely, 231313442132 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 31313442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685941120).

31313442132 is an abundant number, since it is smaller than the sum of its proper divisors (62058440108).

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

31313442132 is a wasteful number, since it uses less digits than its factorization.

31313442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263998 (or 263990 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31313442132 its reverse (23124431313), we get a palindrome (54437873445).

The spelling of 31313442132 in words is "thirty-one billion, three hundred thirteen million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 157 189 252 314 378 471 628 756 942 1099 1413 1884 2198 2826 3297 4239 4396 5652 6594 8478 9891 13188 16956 19782 29673 39564 59346 118692 263821 527642 791463 1055284 1582926 1846747 2374389 3165852 3693494 4748778 5540241 7123167 7386988 9497556 11080482 14246334 16620723 22160964 28492668 33241446 41419897 49862169 66482892 82839794 99724338 124259691 165679588 199448676 248519382 289939279 372779073 497038764 579878558 745558146 869817837 1118337219 1159757116 1491116292 1739635674 2236674438 2609453511 3479271348 4473348876 5218907022 7828360533 10437814044 15656721066 31313442132