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13112012033100 = 223352233189103743
BaseRepresentation
bin1011111011001110000011…
…0100011100110001001100
31201102111101122220101012000
42332303200310130301030
53204311400040024400
643515324123112300
72522211611231511
oct276634064346114
951374348811160
1013112012033100
1141a5855a66082
121579242372690
137415c3c83746
143348a6517308
1517b11821c600
hexbece0d1cc4c

13112012033100 has 1152 divisors, whose sum is σ = 46422628761600. Its totient is φ = 3164923238400.

The previous prime is 13112012033059. The next prime is 13112012033147. The reversal of 13112012033100 is 133021021131.

13112012033100 is a `hidden beast` number, since 1 + 31 + 120 + 1 + 203 + 310 + 0 = 666.

13112012033100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131120120331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17647391329 + ... + 17647392071.

It is an arithmetic number, because the mean of its divisors is an integer number (40297420800).

Almost surely, 213112012033100 is an apocalyptic number.

13112012033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112012033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211314380800).

13112012033100 is an abundant number, since it is smaller than the sum of its proper divisors (33310616728500).

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

13112012033100 is a wasteful number, since it uses less digits than its factorization.

13112012033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13112012033100 its reverse (133021021131), we get a palindrome (13245033054231).

The spelling of 13112012033100 in words is "thirteen trillion, one hundred twelve billion, twelve million, thirty-three thousand, one hundred".