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57101105007 = 332114855741
BaseRepresentation
bin110101001011011111…
…011011011101101111
312110101110210200102000
4311023133123131233
51413420340330012
642122030503343
74061006245542
oct651337333557
9173343720360
1057101105007
11222420a3381
12b097064b53
1354cccb53cb
142a99888859
151742ed0ddc
hexd4b7db76f

57101105007 has 8 divisors (see below), whose sum is σ = 84594229680. Its totient is φ = 38067403320.

The previous prime is 57101104981. The next prime is 57101105021. The reversal of 57101105007 is 70050110175.

57101105007 is a `hidden beast` number, since 57 + 101 + 1 + 0 + 500 + 7 = 666.

It is not a de Polignac number, because 57101105007 - 212 = 57101100911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2114855741 = 57101105007 / (5 + 7 + 1 + 0 + 1 + 1 + 0 + 5 + 0 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57101105207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057427844 + ... + 1057427897.

It is an arithmetic number, because the mean of its divisors is an integer number (10574278710).

Almost surely, 257101105007 is an apocalyptic number.

57101105007 is a deficient number, since it is larger than the sum of its proper divisors (27493124673).

57101105007 is a wasteful number, since it uses less digits than its factorization.

57101105007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114855750 (or 2114855744 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The spelling of 57101105007 in words is "fifty-seven billion, one hundred one million, one hundred five thousand, seven".

Divisors: 1 3 9 27 2114855741 6344567223 19033701669 57101105007