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31131102223332 = 22322573364797041
BaseRepresentation
bin1110001010000010001100…
…10010100001101111100100
311002020002211001002011202100
413011001012102201233210
513040022444132121312
6150113233025212100
76362101506555546
oct705010622415744
9132202731064670
1031131102223332
119a12698689851
1235a94bb191030
13144a85ba5b267
14798a79419696
1538ebd10285dc
hex1c50464a1be4

31131102223332 has 36 divisors (see below), whose sum is σ = 78998704952076. Its totient is φ = 10336656506880.

The previous prime is 31131102223289. The next prime is 31131102223379. The reversal of 31131102223332 is 23332220113113.

31131102223332 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 1 + 102 + 223 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25147677444516 + 5983424778816 = 5014746^2 + 2446104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 31131102223296 and 31131102223305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1682389269 + ... + 1682407772.

It is an arithmetic number, because the mean of its divisors is an integer number (2194408470891).

Almost surely, 231131102223332 is an apocalyptic number.

It is an amenable number.

31131102223332 is an abundant number, since it is smaller than the sum of its proper divisors (47867602728744).

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

31131102223332 is a wasteful number, since it uses less digits than its factorization.

31131102223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364797308 (or 3364797303 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31131102223332 its reverse (23332220113113), we get a palindrome (54463322336445).

The spelling of 31131102223332 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred two million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 3364797041 6729594082 10094391123 13459188164 20188782246 30283173369 40377564492 60566346738 121132693476 864752839537 1729505679074 2594258518611 3459011358148 5188517037222 7782775555833 10377034074444 15565551111666 31131102223332