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13110111001224 = 23331712889277003
BaseRepresentation
bin1011111011000110111110…
…0000100101101010001000
31201102022111011202221201000
42332301233200211222020
53204244001404014344
643514411333255000
72522113525563516
oct276615740455210
951368434687630
1013110111001224
1141a4a6a975756
1215789b1794460
1374138017b303
14334765c614b6
1517b0563a8a69
hexbec6f825a88

13110111001224 has 128 divisors (see below), whose sum is σ = 38562280848000. Its totient is φ = 4112642045952.

The previous prime is 13110111001217. The next prime is 13110111001231. The reversal of 13110111001224 is 42210011101131.

13110111001224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13110111001217) and next prime (13110111001231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13110111001197 and 13110111001206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47189907 + ... + 47466909.

It is an arithmetic number, because the mean of its divisors is an integer number (301267819125).

Almost surely, 213110111001224 is an apocalyptic number.

It is an amenable number.

13110111001224 is an abundant number, since it is smaller than the sum of its proper divisors (25452169846776).

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

13110111001224 is a wasteful number, since it uses less digits than its factorization.

13110111001224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289924 (or 289914 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13110111001224 its reverse (42210011101131), we get a palindrome (55320122102355).

The spelling of 13110111001224 in words is "thirteen trillion, one hundred ten billion, one hundred eleven million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 12889 25778 38667 51556 77334 103112 116001 154668 219113 232002 277003 309336 348003 438226 464004 554006 657339 696006 831009 876452 928008 1108012 1314678 1392012 1662018 1752904 1972017 2216024 2493027 2629356 2784024 3324036 3944034 4709051 4986054 5258712 5916051 6648072 7479081 7888068 9418102 9972108 11832102 14127153 14958162 15776136 18836204 19944216 23664204 28254306 29916324 37672408 42381459 47328408 56508612 59832648 84762918 113017224 127144377 169525836 254288754 339051672 508577508 1017155016 3570291667 7140583334 10710875001 14281166668 21421750002 28562333336 32132625003 42843500004 60694958339 64265250006 85687000008 96397875009 121389916678 128530500012 182084875017 192795750018 242779833356 257061000024 364169750034 385591500036 485559666712 546254625051 728339500068 771183000072 1092509250102 1456679000136 1638763875153 2185018500204 3277527750306 4370037000408 6555055500612 13110111001224