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13112300000114 = 2722913939238461
BaseRepresentation
bin1011111011001111000111…
…1110111101001101110010
31201102112010201202121122222
42332303301332331031302
53204312442300000424
643515412451201042
72522222006013500
oct276636176751562
951375121677588
1013112300000114
1141a5993570a47
1215793028a6182
1374163b82a523
143348d2877670
1517b133650e5e
hexbecf1fbd372

13112300000114 has 96 divisors (see below), whose sum is σ = 23847750561600. Its totient is φ = 5384735314560.

The previous prime is 13112300000113. The next prime is 13112300000119. The reversal of 13112300000114 is 41100000321131.

It is a super-2 number, since 2×131123000001142 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13112300000092 and 13112300000101.

It is not an unprimeable number, because it can be changed into a prime (13112300000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549729844 + ... + 1549738304.

It is an arithmetic number, because the mean of its divisors is an integer number (248414068350).

Almost surely, 213112300000114 is an apocalyptic number.

13112300000114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13112300000114 is a deficient number, since it is larger than the sum of its proper divisors (10735450561486).

13112300000114 is a wasteful number, since it uses less digits than its factorization.

13112300000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12561 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13112300000114 its reverse (41100000321131), we get a palindrome (54212300321245).

The spelling of 13112300000114 in words is "thirteen trillion, one hundred twelve billion, three hundred million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 7 14 29 49 58 98 139 203 278 406 973 1421 1946 2842 3923 4031 6811 7846 8062 8461 13622 16922 27461 28217 54922 56434 59227 113767 118454 192227 197519 227534 245369 384454 395038 414589 490738 545297 796369 829178 1090594 1176079 1592738 1717583 2352158 3435166 3817079 5574583 7634158 8232553 11149166 12023081 15813613 16465106 24046162 26719553 31627226 33192503 34106291 53439106 57627871 66385006 68212582 110695291 115255742 221390582 232347521 238744037 464695042 477488074 774867037 962582587 1549734074 1626432647 1671208259 1925165174 3252865294 3342416518 4613757917 6738078109 9227515834 13476156218 32296305419 47166546763 64592610838 94333093526 133798979593 226074137933 267597959186 452148275866 936592857151 1873185714302 6556150000057 13112300000114