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104014023113 = 7111323411011091
BaseRepresentation
bin110000011011110111…
…0000000100111001001
3100221110220201211210102
41200313232000213021
53201010042214423
6115441113255145
710341364415540
oct1406756004711
9327426654712
10104014023113
1140126228080
12181aa1044b5
139a68300c50
14506a1c5157
152a8b82ec28
hex1837b809c9

104014023113 has 128 divisors (see below), whose sum is σ = 150897696768. Its totient is φ = 69062400000.

The previous prime is 104014023109. The next prime is 104014023143. The reversal of 104014023113 is 311320410401.

It is not a de Polignac number, because 104014023113 - 22 = 104014023109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104014023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95337698 + ... + 95338788.

It is an arithmetic number, because the mean of its divisors is an integer number (1178888256).

Almost surely, 2104014023113 is an apocalyptic number.

104014023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104014023113 is a deficient number, since it is larger than the sum of its proper divisors (46883673655).

104014023113 is a wasteful number, since it uses less digits than its factorization.

104014023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104014023113 its reverse (311320410401), we get a palindrome (415334433514).

The spelling of 104014023113 in words is "one hundred four billion, fourteen million, twenty-three thousand, one hundred thirteen".

Divisors: 1 7 11 13 23 41 77 91 101 143 161 253 287 299 451 533 707 943 1001 1091 1111 1313 1771 2093 2323 3157 3289 3731 4141 5863 6601 7637 7777 9191 10373 12001 12259 14183 14443 16261 23023 25093 25553 28987 30199 41041 44731 45551 53833 72611 84007 85813 95243 99281 101101 110191 134849 156013 175651 178871 211393 276023 313117 318857 326209 332189 376831 492041 581503 592163 666701 771337 943943 1028813 1047673 1092091 1212101 1238159 1432483 1932161 2283463 2325323 2534393 3444287 3588299 4070521 4145141 4517831 6396533 7201691 7333711 8484707 8667113 10027381 11316943 13374569 13619749 15757313 17740751 25118093 27878323 31624817 32947109 44775731 49696141 58731803 79218601 93621983 95338243 103910113 110301191 147120259 195148261 230629763 347872987 362418199 411122621 646049833 727370791 1029841813 1143011243 1350831469 2536927393 4522348831 8001078701 9455820283 14859146159 104014023113