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100001111001000 = 2335311122912312003
BaseRepresentation
bin10110101111001101010010…
…101100101100011110101000
3111010002000100100212020010220
4112233031102230230132220
5101101404233404013000
6552403513131210040
730030561516404226
oct2657152254543650
9433060310766126
10100001111001000
1129955262155720
12b270a758a6920
1343a50ab378ca1
141a9a1185b5b16
15b863d20ca1a0
hex5af352b2c7a8

100001111001000 has 512 divisors, whose sum is σ = 341091291340800. Its totient is φ = 24191207040000.

The previous prime is 100001111000969. The next prime is 100001111001041. The reversal of 100001111001000 is 100111100001.

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 100001111001000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49925665999 + ... + 49925668001.

It is an arithmetic number, because the mean of its divisors is an integer number (666193928400).

Almost surely, 2100001111001000 is an apocalyptic number.

100001111001000 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 100001111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170545645670400).

100001111001000 is an abundant number, since it is smaller than the sum of its proper divisors (241090180339800).

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

100001111001000 is a wasteful number, since it uses less digits than its factorization.

100001111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4484 counting only the distinct ones).

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

Adding to 100001111001000 its reverse (100111100001), we get a palindrome (100101222101001).

Subtracting from 100001111001000 its reverse (100111100001), we obtain a palindrome (99900999900999).

The spelling of 100001111001000 in words is "one hundred trillion, one billion, one hundred eleven million, one thousand".