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13142302113132 = 2234151268626893
BaseRepresentation
bin1011111100111110111000…
…1111111011110101101100
31201112101120122000212120000
42333033232033323311230
53210310413320110012
643541253520424300
72524333332532653
oct277175617736554
951471518025500
1013142302113132
114207689a18575
121583096478090
1374441048231a
1433613b2b219a
1517bcdc545ddc
hexbf3ee3fbd6c

13142302113132 has 60 divisors (see below), whose sum is σ = 34584100841136. Its totient is φ = 4351755650400.

The previous prime is 13142302113119. The next prime is 13142302113173. The reversal of 13142302113132 is 23131120324131.

13142302113132 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 302 + 1 + 1 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13142302113096 and 13142302113105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134264523 + ... + 134362370.

Almost surely, 213142302113132 is an apocalyptic number.

13142302113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142302113132 is an abundant number, since it is smaller than the sum of its proper divisors (21441798728004).

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

13142302113132 is a wasteful number, since it uses less digits than its factorization.

13142302113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268627060 (or 268627049 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13142302113132 its reverse (23131120324131), we get a palindrome (36273422437263).

The spelling of 13142302113132 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 453 604 906 1359 1812 2718 4077 5436 8154 12231 16308 24462 48924 268626893 537253786 805880679 1074507572 1611761358 2417642037 3223522716 4835284074 7252926111 9670568148 14505852222 21758778333 29011704444 40562660843 43517556666 81125321686 87035113332 121687982529 162250643372 243375965058 365063947587 486751930116 730127895174 1095191842761 1460255790348 2190383685522 3285575528283 4380767371044 6571151056566 13142302113132