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10101505520 = 245126268819
BaseRepresentation
bin10010110100001100…
…01011110111110000
3222001222202122112002
421122012023313300
5131141441134040
64350210153132
7505216244261
oct113206136760
928058678462
1010101505520
114314044677
121b5ab827a8
13c4ca3a302
146bb826968
153e1c5da15
hex25a18bdf0

10101505520 has 20 divisors (see below), whose sum is σ = 23486000520. Its totient is φ = 4040602176.

The previous prime is 10101505501. The next prime is 10101505541. The reversal of 10101505520 is 2550510101.

It is a happy number.

10101505520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10101505492 and 10101505501.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 63134330 + ... + 63134489.

It is an arithmetic number, because the mean of its divisors is an integer number (1174300026).

Almost surely, 210101505520 is an apocalyptic number.

10101505520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101505520 is an abundant number, since it is smaller than the sum of its proper divisors (13384495000).

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

10101505520 is a wasteful number, since it uses less digits than its factorization.

10101505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126268832 (or 126268826 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The spelling of 10101505520 in words is "ten billion, one hundred one million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126268819 252537638 505075276 631344095 1010150552 1262688190 2020301104 2525376380 5050752760 10101505520