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13110032999979 = 3419107197340351
BaseRepresentation
bin1011111011000110101011…
…0111000010011000101011
31201102022021202000002010000
42332301222313002120223
53204243321421444404
643514355505354043
72522111560563606
oct276615267023053
951368252002100
1013110032999979
1141a4a2a93a213
12157898b638923
13741369c6a926
1433475975933d
1517b04e5ec339
hexbec6adc262b

13110032999979 has 80 divisors (see below), whose sum is σ = 20818591073280. Its totient is φ = 8198276846400.

The previous prime is 13110032999939. The next prime is 13110032999983. The reversal of 13110032999979 is 97999923001131.

13110032999979 is a `hidden beast` number, since 1 + 31 + 100 + 329 + 99 + 97 + 9 = 666.

It is not a de Polignac number, because 13110032999979 - 216 = 13110032934443 is a prime.

It is a super-2 number, since 2×131100329999792 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13110032999939) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324879654 + ... + 324920004.

It is an arithmetic number, because the mean of its divisors is an integer number (260232388416).

Almost surely, 213110032999979 is an apocalyptic number.

13110032999979 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13110032999979 is a deficient number, since it is larger than the sum of its proper divisors (7708558073301).

13110032999979 is a wasteful number, since it uses less digits than its factorization.

13110032999979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42462 (or 42453 counting only the distinct ones).

The product of its (nonzero) digits is 7440174, while the sum is 63.

The spelling of 13110032999979 in words is "thirteen trillion, one hundred ten billion, thirty-two million, nine hundred ninety-nine thousand, nine hundred seventy-nine".

Divisors: 1 3 9 19 27 57 81 107 171 321 513 963 1539 1973 2033 2889 5919 6099 8667 17757 18297 37487 40351 53271 54891 112461 121053 159813 164673 211111 337383 363159 633333 766669 1012149 1089477 1899999 2300007 3036447 3268431 4011109 4317557 5699997 6900021 12033327 12952671 17099991 20700063 36099981 38858013 62100189 79612523 82033583 108299943 116574039 238837569 246100749 324899829 349722117 716512707 738302247 1512637937 2149538121 2214906741 4537913811 6448614363 6644720223 8518539961 13613741433 25555619883 40841224299 76666859649 122523672897 161852259259 230000578947 485556777777 690001736841 1456670333331 4370010999993 13110032999979