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100000111101000 = 23353116834436759
BaseRepresentation
bin10110101111001100010111…
…000110011000010001001000
3111010001220202200101001012120
4112233030113012120101020
5101101400211420213000
6552403230012011240
730030524655400665
oct2657142706302110
9433056680331176
10100000111101000
112995489979aa90
12b270836a60b20
1343a4c7c175496
141a9a061892a6c
15b863744186a0
hex5af317198448

100000111101000 has 256 divisors, whose sum is σ = 340862428108800. Its totient is φ = 24206951648000.

The previous prime is 100000111100933. The next prime is 100000111101001. The reversal of 100000111101000 is 101111000001.

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 100000111101000.

It is not an unprimeable number, because it can be changed into a prime (100000111101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20320621 + ... + 24757379.

It is an arithmetic number, because the mean of its divisors is an integer number (1331493859800).

Almost surely, 2100000111101000 is an apocalyptic number.

100000111101000 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 100000111101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170431214054400).

100000111101000 is an abundant number, since it is smaller than the sum of its proper divisors (240862317007800).

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

100000111101000 is a wasteful number, since it uses less digits than its factorization.

100000111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437477 (or 4437463 counting only the distinct ones).

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

Adding to 100000111101000 its reverse (101111000001), we get a palindrome (100101222101001).

The spelling of 100000111101000 in words is "one hundred trillion, one hundred eleven million, one hundred one thousand".