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13132455545053 = 1329313111291053
BaseRepresentation
bin1011111100011010001101…
…0110010000100011011101
31201111110011101222101110101
42333012203112100203131
53210130232104420203
643532544454341101
72523534330223255
oct277064326204335
951443141871411
1013132455545053
11420349687a1a9
1215811a895a791
137435014c5b90
1433588568c965
1517b912d9441d
hexbf1a35908dd

13132455545053 has 16 divisors (see below), whose sum is σ = 14677064201520. Its totient is φ = 11666863563264.

The previous prime is 13132455544987. The next prime is 13132455545093. The reversal of 13132455545053 is 35054555423131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5351273611524 + 7781181933529 = 2313282^2 + 2789477^2 .

It is a de Polignac number, because none of the positive numbers 2k-13132455545053 is a prime.

It is a super-2 number, since 2×131324555450532 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132455544994 and 13132455545012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132455545093) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55527526 + ... + 55763527.

It is an arithmetic number, because the mean of its divisors is an integer number (917316512595).

Almost surely, 213132455545053 is an apocalyptic number.

13132455545053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13132455545053 is a deficient number, since it is larger than the sum of its proper divisors (1544608656467).

13132455545053 is a wasteful number, since it uses less digits than its factorization.

13132455545053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111291408.

The product of its (nonzero) digits is 2700000, while the sum is 46.

The spelling of 13132455545053 in words is "thirteen trillion, one hundred thirty-two billion, four hundred fifty-five million, five hundred forty-five thousand, fifty-three".

Divisors: 1 13 29 313 377 4069 9077 118001 111291053 1446783689 3227440537 34834099589 41956726981 452843294657 1010188888081 13132455545053