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23151154215105 = 3457194320694831
BaseRepresentation
bin1010100001110010011000…
…10100101011100011000001
310000222020011202001111110000
411100321030110223203001
511013302030434340410
6121123254325030213
74606421116634610
oct520711424534301
9100866152044400
1023151154215105
117416393006844
12271aa22855369
13cbc1b55468b7
145a0743d17877
152a233469ddc0
hex150e4c52b8c1

23151154215105 has 320 divisors, whose sum is σ = 51121848729600. Its totient is φ = 9786433789440.

The previous prime is 23151154215103. The next prime is 23151154215149. The reversal of 23151154215105 is 50151245115132.

23151154215105 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 1 + 1 + 542 + 1 + 5 + 105 = 666.

It is not a de Polignac number, because 23151154215105 - 21 = 23151154215103 is a prime.

It is a super-2 number, since 2×231511542151052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23151154215105.

It is not an unprimeable number, because it can be changed into a prime (23151154215103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4792205040 + ... + 4792209870.

It is an arithmetic number, because the mean of its divisors is an integer number (159755777280).

Almost surely, 223151154215105 is an apocalyptic number.

It is an amenable number.

23151154215105 is an abundant number, since it is smaller than the sum of its proper divisors (27970694514495).

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

23151154215105 is a wasteful number, since it uses less digits than its factorization.

23151154215105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 23151154215105 in words is "twenty-three trillion, one hundred fifty-one billion, one hundred fifty-four million, two hundred fifteen thousand, one hundred five".