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10101101000 = 235310101101
BaseRepresentation
bin10010110100001001…
…01001000111001000
3222001222000002121212
421122010221013020
5131141340213000
64350153352252
7505212641024
oct113204510710
928058002555
1010101101000
114313898761
121b5aa08688
13c4c928153
146bb75d384
153e1bcdc35
hex25a1291c8

10101101000 has 32 divisors (see below), whose sum is σ = 23636578680. Its totient is φ = 4040440000.

The previous prime is 10101100981. The next prime is 10101101009. The reversal of 10101101000 is 10110101.

Adding to 10101101000 its reverse (10110101), we get a palindrome (10111211101).

It can be written as a sum of positive squares in 4 ways, for example, as 5495849956 + 4605251044 = 74134^2 + 67862^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10101101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049551 + ... + 5051550.

Almost surely, 210101101000 is an apocalyptic number.

10101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101101000 is an abundant number, since it is smaller than the sum of its proper divisors (13535477680).

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

10101101000 is a wasteful number, since it uses less digits than its factorization.

10101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101122 (or 10101108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10101101000 in words is "ten billion, one hundred one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10101101 20202202 40404404 50505505 80808808 101011010 202022020 252527525 404044040 505055050 1010110100 1262637625 2020220200 2525275250 5050550500 10101101000