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31120231020102 = 2327794357717559
BaseRepresentation
bin1110001001101101111100…
…10100001011011001000110
311002012001202101222211110200
413010312332110023121012
513034333213120120402
6150104234201431330
76361235223062520
oct704667624133106
9132161671884420
1031120231020102
119a0901a120974
1235a738649b546
13144981871a823
147983276b4a10
1538e79692b21c
hex1c4dbe50b646

31120231020102 has 96 divisors (see below), whose sum is σ = 78053076940800. Its totient is φ = 8776916875584.

The previous prime is 31120231020091. The next prime is 31120231020103. The reversal of 31120231020102 is 20102013202113.

31120231020102 is a `hidden beast` number, since 31 + 1 + 202 + 310 + 20 + 102 = 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 (31120231020103) 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 47 ways as a sum of consecutive naturals, for example, 43010799 + ... + 43728357.

It is an arithmetic number, because the mean of its divisors is an integer number (813052884800).

Almost surely, 231120231020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31120231020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39026538470400).

31120231020102 is an abundant number, since it is smaller than the sum of its proper divisors (46932845920698).

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

31120231020102 is a wasteful number, since it uses less digits than its factorization.

31120231020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722010 (or 722007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31120231020102 its reverse (20102013202113), we get a palindrome (51222244222215).

The spelling of 31120231020102 in words is "thirty-one trillion, one hundred twenty billion, two hundred thirty-one million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4357 4977 8714 9954 13071 26142 30499 39213 60998 78426 91497 182994 274491 344203 548982 688406 717559 1032609 1435118 2065218 2152677 2409421 3097827 4305354 4818842 5022913 6195654 6458031 7228263 10045826 12916062 14456526 15068739 21684789 30137478 43369578 45206217 56687161 90412434 113374322 170061483 340122966 396810127 510184449 793620254 1020368898 1190430381 2380860762 3126404563 3571291143 6252809126 7142582286 9379213689 18758427378 21884831941 28137641067 43769663882 56275282134 65654495823 131308991646 196963487469 246985960477 393926974938 493971920954 740957881431 1481915762862 1728901723339 2222873644293 3457803446678 4445747288586 5186705170017 10373410340034 15560115510051 31120231020102