Search a number
-
+
12136301050104 = 23327112395177717
BaseRepresentation
bin1011000010011011001111…
…1010011011100011111000
31120222012220200112212012100
42300212303322123203320
53042320121032100404
641451201214343400
72361550565560230
oct260466372334370
946865820485170
1012136301050104
113959a81606160
12144011a7bab60
136a05a9b37c1a
142dd585c60cc0
15160a5e036d39
hexb09b3e9b8f8

12136301050104 has 192 divisors, whose sum is σ = 42761445143040. Its totient is φ = 3015230042880.

The previous prime is 12136301050103. The next prime is 12136301050109. The reversal of 12136301050104 is 40105010363121.

It is a happy number.

12136301050104 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 630 + 10 + 5 + 0 + 10 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136301050103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47461347 + ... + 47716370.

It is an arithmetic number, because the mean of its divisors is an integer number (222715860120).

Almost surely, 212136301050104 is an apocalyptic number.

12136301050104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12136301050104 is an abundant number, since it is smaller than the sum of its proper divisors (30625144092936).

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

12136301050104 is a wasteful number, since it uses less digits than its factorization.

12136301050104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95177770 (or 95177763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12136301050104 in words is "twelve trillion, one hundred thirty-six billion, three hundred one million, fifty thousand, one hundred four".