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131001022231000 = 2353592220356309
BaseRepresentation
bin11101110010010100001101…
…011001010011000111011000
3122011211120112110221102120021
4131302110031121103013120
5114132310043142343000
61142341012214240224
736410340311242015
oct3562241531230730
9564746473842507
10131001022231000
1138817248950429
1212838a61356074
13581346057292c
14244c6aa29c70c
15102298593311a
hex77250d6531d8

131001022231000 has 64 divisors (see below), whose sum is σ = 311738025924000. Its totient is φ = 51512266345600.

The previous prime is 131001022230919. The next prime is 131001022231033. The reversal of 131001022231000 is 132220100131.

It is a super-2 number, since 2×1310010222310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1110119155 + ... + 1110237154.

Almost surely, 2131001022231000 is an apocalyptic number.

131001022231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001022231000 is an abundant number, since it is smaller than the sum of its proper divisors (180737003693000).

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

131001022231000 is a wasteful number, since it uses less digits than its factorization.

131001022231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220356389 (or 2220356375 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131001022231000 its reverse (132220100131), we get a palindrome (131133242331131).

The spelling of 131001022231000 in words is "one hundred thirty-one trillion, one billion, twenty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 59000 2220356309 4440712618 8881425236 11101781545 17762850472 22203563090 44407126180 55508907725 88814252360 111017815450 131001022231 222035630900 262002044462 277544538625 444071261800 524004088924 555089077250 655005111155 1048008177848 1110178154500 1310010222310 2220356309000 2620020444620 3275025555775 5240040889240 6550051111550 13100102223100 16375127778875 26200204446200 32750255557750 65500511115500 131001022231000