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31313023313022 = 23311607330126309
BaseRepresentation
bin1110001111010101000011…
…01000011010010001111110
311002212111101102201001122000
413013222201220122101332
513101013032432004042
6150333000533403130
76411201623403333
oct707524150322176
9132774342631560
1031313023313022
119a82862371060
1236188101994a6
131461a616ab769
147a37b640c98a
153947cc20874c
hex1c7aa1a1a47e

31313023313022 has 128 divisors (see below), whose sum is σ = 76061342822400. Its totient is φ = 9469932912000.

The previous prime is 31313023313021. The next prime is 31313023313029. The reversal of 31313023313022 is 22031332031313.

31313023313022 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 302 + 331 + 3 + 0 + 22 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313023313021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1190188804 + ... + 1190215112.

It is an arithmetic number, because the mean of its divisors is an integer number (594229240800).

Almost surely, 231313023313022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313023313022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38030671411200).

31313023313022 is an abundant number, since it is smaller than the sum of its proper divisors (44748319509378).

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

31313023313022 is a wasteful number, since it uses less digits than its factorization.

31313023313022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30239 (or 30233 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31313023313022 its reverse (22031332031313), we get a palindrome (53344355344335).

The spelling of 31313023313022 in words is "thirty-one trillion, three hundred thirteen billion, twenty-three million, three hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 607 1214 1821 3301 3642 5463 6602 6677 9903 10926 13354 16389 19806 20031 26309 29709 32778 36311 40062 52618 59418 60093 72622 78927 89127 108933 120186 157854 178254 180279 217866 236781 289399 326799 360558 473562 578798 653598 710343 868197 980397 1420686 1736394 1960794 2003707 2604591 4007414 5209182 6011121 7813773 12022242 15627546 15969563 18033363 22040777 31939126 36066726 44081554 47908689 54100089 66122331 86846009 95817378 108200178 132244662 143726067 173692018 175665193 198366993 260538027 287452134 351330386 396733986 431178201 521076054 526995579 595100979 781614081 862356402 955306099 1053991158 1190201958 1563228162 1580986737 1910612198 2344842243 2865918297 3161973474 4689684486 4742960211 5731836594 8597754891 9485920422 17195509782 25793264673 51586529346 52715527463 105431054926 158146582389 316293164778 474439747167 579870802093 948879494334 1159741604186 1423319241501 1739612406279 2846638483002 3479224812558 5218837218837 10437674437674 15656511656511 31313023313022