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131131220022 = 232114211573109
BaseRepresentation
bin111101000100000000…
…1111010000000110110
3110112110202112011202200
41322020001322000312
54122024043020042
6140124005045330
712321360656625
oct1721001720066
9415422464680
10131131220022
1150681178510
12214b76b6846
13c49a3668aa
1464bd8136bc
153627314c4c
hex1e8807a036

131131220022 has 48 divisors (see below), whose sum is σ = 310682932560. Its totient is φ = 39642321600.

The previous prime is 131131219981. The next prime is 131131220093. The reversal of 131131220022 is 220022131131.

131131220022 is a `hidden beast` number, since 1 + 311 + 312 + 20 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131131219977 and 131131220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703197 + ... + 869912.

It is an arithmetic number, because the mean of its divisors is an integer number (6472561095).

Almost surely, 2131131220022 is an apocalyptic number.

131131220022 is an abundant number, since it is smaller than the sum of its proper divisors (179551712538).

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

131131220022 is a wasteful number, since it uses less digits than its factorization.

131131220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573549 (or 1573546 counting only the distinct ones).

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

Adding to 131131220022 its reverse (220022131131), we get a palindrome (351153351153).

It can be divided in two parts, 131131 and 220022, that added together give a palindrome (351153).

The spelling of 131131220022 in words is "one hundred thirty-one billion, one hundred thirty-one million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 421 842 1263 2526 3789 4631 7578 9262 13893 27786 41679 83358 1573109 3146218 4719327 9438654 14157981 17304199 28315962 34608398 51912597 103825194 155737791 311475582 662278889 1324557778 1986836667 3973673334 5960510001 7285067779 11921020002 14570135558 21855203337 43710406674 65565610011 131131220022