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131321213111232 = 26321911999379853
BaseRepresentation
bin11101110110111110011010…
…010000100100101111000000
3122012222012000010120110000100
4131312332122100210233000
5114203031321024024412
61143144044340122400
736442434036643404
oct3566763220445700
9565865003513010
10131321213111232
113893001729a901
121288ab20696400
1358376ca48c441
14245dda2bb3104
15102ae759b4edc
hex776f9a424bc0

131321213111232 has 84 divisors (see below), whose sum is σ = 396219522779080. Its totient is φ = 41469856768512.

The previous prime is 131321213111147. The next prime is 131321213111237. The reversal of 131321213111232 is 232111312123131.

131321213111232 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 2 + 1 + 311 + 1 + 23 + 2 = 666.

131321213111232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313212131112322 (a number of 29 digits) contains 22 as substring.

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 = 131321213111196 and 131321213111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321213111237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5999678983 + ... + 5999700870.

Almost surely, 2131321213111232 is an apocalyptic number.

131321213111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321213111232 is an abundant number, since it is smaller than the sum of its proper divisors (264898309667848).

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

131321213111232 is a wasteful number, since it uses less digits than its factorization.

131321213111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999379890 (or 11999379877 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131321213111232 its reverse (232111312123131), we get a palindrome (363432525234363).

The spelling of 131321213111232 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, two hundred thirteen million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 11999379853 23998759706 35998139559 47997519412 71996279118 95995038824 107994418677 143992558236 191990077648 215988837354 227988217207 287985116472 383980155296 431977674708 455976434414 575970232944 683964651621 767960310592 863955349416 911952868828 1151940465888 1367929303242 1727910698832 1823905737656 2051893954863 2303880931776 2735858606484 3455821397664 3647811475312 4103787909726 5471717212968 6911642795328 7295622950624 8207575819452 10943434425936 14591245901248 16415151638904 21886868851872 32830303277808 43773737703744 65660606555616 131321213111232