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100101000111000 = 233537477110114143
BaseRepresentation
bin10110110000101010010100…
…100011011010001110011000
3111010102120011210211202220120
4112300222110203122032120
5101110023322012023000
6552521433053353240
730041026046003250
oct2660522443321630
9433376153752816
10100101000111000
1129993660a31499
12b2882b2498820
1343b1639c01235
141aa0cb2a0c960
15b88ccb70d6a0
hex5b0a948da398

100101000111000 has 1024 divisors, whose sum is σ = 373346418032640. Its totient is φ = 21857875200000.

The previous prime is 100101000110989. The next prime is 100101000111029. The reversal of 100101000111000 is 111000101001.

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 100101000111000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7077769929 + ... + 7077784071.

It is an arithmetic number, because the mean of its divisors is an integer number (364596111360).

Almost surely, 2100101000111000 is an apocalyptic number.

100101000111000 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 100101000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186673209016320).

100101000111000 is an abundant number, since it is smaller than the sum of its proper divisors (273245417921640).

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

100101000111000 is a wasteful number, since it uses less digits than its factorization.

100101000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14393 (or 14379 counting only the distinct ones).

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

Adding to 100101000111000 its reverse (111000101001), we get a palindrome (100212000212001).

Subtracting from 100101000111000 its reverse (111000101001), we obtain a palindrome (99990000009999).

The spelling of 100101000111000 in words is "one hundred trillion, one hundred one billion, one hundred eleven thousand".