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1010010111000 = 233531122782397
BaseRepresentation
bin11101011001010010100…
…10110011110000011000
310120120000100012202021220
432230221102303300120
5113022000042023000
62051554153532040
7132653664202062
oct16545122636030
93516010182256
101010010111000
1135a385416500
121438b6414020
13743220b6247
1436c55a7c732
151b4154701a0
hexeb294b3c18

1010010111000 has 192 divisors, whose sum is σ = 3463751622240. Its totient is φ = 244850848000.

The previous prime is 1010010110903. The next prime is 1010010111017. The reversal of 1010010111000 is 1110100101.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010111000.

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 47 ways as a sum of consecutive naturals, for example, 1028199 + ... + 1754198.

Almost surely, 21010010111000 is an apocalyptic number.

1010010111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010111000 is an abundant number, since it is smaller than the sum of its proper divisors (2453741511240).

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

1010010111000 is a wasteful number, since it uses less digits than its factorization.

1010010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782443 (or 2782418 counting only the distinct ones).

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

Adding to 1010010111000 its reverse (1110100101), we get a palindrome (1011120211101).

It can be divided in two parts, 10100101 and 11000, that added together give a palindrome (10111101).

The spelling of 1010010111000 in words is "one trillion, ten billion, ten million, one hundred eleven thousand".