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100101011010 = 2357111323373917
BaseRepresentation
bin101110100111001111…
…1000011011001000010
3100120101012201020022020
41131032133003121002
53120001324323020
6113552532022310
710142411361150
oct1351637033102
9316335636266
10100101011010
11394a8458180
1217497761996
139593718480
144bb86363d0
15290d03dc40
hex174e7c3642

100101011010 has 512 divisors, whose sum is σ = 345772965888. Its totient is φ = 17864478720.

The previous prime is 100101010981. The next prime is 100101011069. The reversal of 100101011010 is 10110101001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100101011010.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 25553572 + ... + 25557488.

It is an arithmetic number, because the mean of its divisors is an integer number (675337824).

Almost surely, 2100101011010 is an apocalyptic number.

100101011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172886482944).

100101011010 is an abundant number, since it is smaller than the sum of its proper divisors (245671954878).

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

100101011010 is a wasteful number, since it uses less digits than its factorization.

100101011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101011010 its reverse (10110101001), we get a palindrome (110211112011).

The spelling of 100101011010 in words is "one hundred billion, one hundred one million, eleven thousand, ten".