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10124600101 = 711211953483
BaseRepresentation
bin10010110110111100…
…10010001100100101
3222010121012222022221
421123132102030211
5131213344200401
64352353152341
7505616452360
oct113336221445
928117188287
1010124600101
114326088a00
121b6685b6b1
13c54765145
146c09190d7
153e3cc17a1
hex25b792325

10124600101 has 12 divisors (see below), whose sum is σ = 12718506976. Its totient is φ = 7889298120.

The previous prime is 10124600063. The next prime is 10124600113. The reversal of 10124600101 is 10100642101.

10124600101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10124600101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124600141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5975895 + ... + 5977588.

Almost surely, 210124600101 is an apocalyptic number.

10124600101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124600101 is a deficient number, since it is larger than the sum of its proper divisors (2593906875).

10124600101 is a wasteful number, since it uses less digits than its factorization.

10124600101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953512 (or 11953501 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The spelling of 10124600101 in words is "ten billion, one hundred twenty-four million, six hundred thousand, one hundred one".

Divisors: 1 7 11 77 121 847 11953483 83674381 131488313 920418191 1446371443 10124600101