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131112222110233 = 713972245962273
BaseRepresentation
bin11101110011111011110001…
…011011001011001000011001
3122012020012120012010120210221
4131303323301123023020121
5114141120312330011413
61142504042345440041
736421355042515450
oct3563736133131031
9565205505116727
10131112222110233
113885a421324571
1212856515aa0021
135820aa2521040
142453c1897db97
1510257e304068d
hex773ef16cb219

131112222110233 has 48 divisors (see below), whose sum is σ = 163118562687360. Its totient is φ = 102624287883264.

The previous prime is 131112222110209. The next prime is 131112222110267. The reversal of 131112222110233 is 332011222211131.

It is a de Polignac number, because none of the positive numbers 2k-131112222110233 is a prime.

It is a super-2 number, since 2×1311122221102332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131112222110198 and 131112222110207.

It is not an unprimeable number, because it can be changed into a prime (131112222170233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2105411385 + ... + 2105473657.

It is an arithmetic number, because the mean of its divisors is an integer number (3398303389320).

Almost surely, 2131112222110233 is an apocalyptic number.

131112222110233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131112222110233 is a deficient number, since it is larger than the sum of its proper divisors (32006340577127).

131112222110233 is an equidigital number, since it uses as much as digits as its factorization.

131112222110233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946 (or 64849 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131112222110233 its reverse (332011222211131), we get a palindrome (463123444321364).

The spelling of 131112222110233 in words is "one hundred thirty-one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred ten thousand, two hundred thirty-three".

Divisors: 1 7 13 91 97 679 1261 2459 8827 9409 17213 31967 62273 65863 122317 223769 238523 435911 809549 856219 1669661 3100799 5666843 6040481 21705593 23136731 42283367 78526253 153129307 161957117 300777503 549683771 585926657 1071905149 1990680991 2105442521 4101486599 7617046541 13934766937 14853542779 53319325787 103974799453 193096056127 1351672392889 1440793649563 10085555546941 18730317444319 131112222110233