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13110403502034 = 23217413732801573
BaseRepresentation
bin1011111011001000000011…
…1100011000111111010010
31201102100020120011112101100
42332302000330120333102
53204300101244031114
643514500342445230
72522124010030536
oct276620074307722
951370216145340
1013110403502034
1141a50aaa97963
121578a73733816
137413c8951907
14334792a41bc6
1517b071dd5909
hexbec80f18fd2

13110403502034 has 96 divisors (see below), whose sum is σ = 30893001323184. Its totient is φ = 4001989570560.

The previous prime is 13110403501997. The next prime is 13110403502081. The reversal of 13110403502034 is 43020530401131.

It is a happy number.

13110403502034 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 403 + 50 + 203 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1815742775025 + 11294660727009 = 1347495^2 + 3360753^2 .

It is a super-2 number, since 2×131104035020342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13110403501989 and 13110403502007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278872 + ... + 6080444.

Almost surely, 213110403502034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110403502034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446500661592).

13110403502034 is an abundant number, since it is smaller than the sum of its proper divisors (17782597821150).

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

13110403502034 is a wasteful number, since it uses less digits than its factorization.

13110403502034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802012 (or 2802009 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13110403502034 its reverse (43020530401131), we get a palindrome (56130933903165).

The spelling of 13110403502034 in words is "thirteen trillion, one hundred ten billion, four hundred three million, five hundred two thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 373 697 738 746 1119 1394 2091 2238 3357 4182 6273 6341 6714 12546 12682 15293 19023 30586 38046 45879 57069 91758 114138 137637 259981 275274 519962 779943 1559886 2339829 2801573 4679658 5603146 8404719 16809438 25214157 47626741 50428314 95253482 114864493 142880223 229728986 285760446 344593479 428640669 689186958 857281338 1033780437 1044986729 1952696381 2067560874 2089973458 3134960187 3905392762 5858089143 6269920374 9404880561 11716178286 17574267429 17764774393 18809761122 35148534858 35529548786 42844455889 53294323179 85688911778 106588646358 128533367667 159882969537 257066735334 319765939074 385600103001 728355750113 771200206002 1456711500226 2185067250339 4370134500678 6555201751017 13110403502034