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100111011000 = 2335371113173753
BaseRepresentation
bin101110100111100010…
…1001100110010111000
3100120101220112021201020
41131033011030302320
53120011404323000
6113553530222440
710142562360510
oct1351705146270
9316356467636
10100111011000
1139503068330
121749ab84a20
13959580a020
144bb9aba840
15290dd66ba0
hex174f14ccb8

100111011000 has 2048 divisors, whose sum is σ = 464648970240. Its totient is φ = 17252352000.

The previous prime is 100111010977. The next prime is 100111011031. The reversal of 100111011000 is 110111001.

Adding to 100111011000 its reverse (110111001), we get a palindrome (100221122001).

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 100111011000.

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 511 ways as a sum of consecutive naturals, for example, 1888886974 + ... + 1888887026.

It is an arithmetic number, because the mean of its divisors is an integer number (226879380).

Almost surely, 2100111011000 is an apocalyptic number.

100111011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232324485120).

100111011000 is an abundant number, since it is smaller than the sum of its proper divisors (364537959240).

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

100111011000 is a wasteful number, since it uses less digits than its factorization.

100111011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

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

The spelling of 100111011000 in words is "one hundred billion, one hundred eleven million, eleven thousand".