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1010010100110 = 235112171071511013
BaseRepresentation
bin11101011001010010100…
…10110001000110001110
310120120000100012012100120
432230221102301012032
5113022000041200420
62051554153405410
7132653664125244
oct16545122610616
93516010165316
101010010100110
1135a385409300
121438b6409866
13743220b12bb
1436c55a78794
151b41546bd40
hexeb294b118e

1010010100110 has 384 divisors, whose sum is σ = 2869207391232. Its totient is φ = 226558464000.

The previous prime is 1010010100091. The next prime is 1010010100139. The reversal of 1010010100110 is 110010100101.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 997047964 + ... + 997048976.

It is an arithmetic number, because the mean of its divisors is an integer number (7471894248).

Almost surely, 21010010100110 is an apocalyptic number.

1010010100110 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 1010010100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434603695616).

1010010100110 is an abundant number, since it is smaller than the sum of its proper divisors (1859197291122).

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

1010010100110 is a wasteful number, since it uses less digits than its factorization.

1010010100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1309 counting only the distinct ones).

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

Adding to 1010010100110 its reverse (110010100101), we get a palindrome (1120020200211).

Subtracting from 1010010100110 its reverse (110010100101), we obtain a palindrome (900000000009).

The spelling of 1010010100110 in words is "one trillion, ten billion, ten million, one hundred thousand, one hundred ten".