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1000111110000 = 24354293731069
BaseRepresentation
bin11101000110110110100…
…01000111011101110000
310112121110110111101202020
432203123101013131300
5112341211421010000
62043240015551440
7132153454112622
oct16433321073560
93477413441666
101000111110000
11356165715542
121419b322b580
13734052cc1c2
14365970cac12
151b0363b2ba0
hexe8db447770

1000111110000 has 400 divisors, whose sum is σ = 3430195111200. Its totient is φ = 250532352000.

The previous prime is 1000111109999. The next prime is 1000111110013. The reversal of 1000111110000 is 111110001.

It is a tau number, because it is divible by the number of its divisors (400).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32174466 + ... + 32205534.

It is an arithmetic number, because the mean of its divisors is an integer number (8575487778).

Almost surely, 21000111110000 is an apocalyptic number.

1000111110000 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 1000111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715097555600).

1000111110000 is an abundant number, since it is smaller than the sum of its proper divisors (2430084001200).

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

1000111110000 is a wasteful number, since it uses less digits than its factorization.

1000111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31166 (or 31145 counting only the distinct ones).

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

Adding to 1000111110000 its reverse (111110001), we get a palindrome (1000222220001).

Subtracting from 1000111110000 its reverse (111110001), we obtain a palindrome (999999999999).

It can be divided in two parts, 1000111 and 110000, that added together give a palindrome (1110111).

The spelling of 1000111110000 in words is "one trillion, one hundred eleven million, one hundred ten thousand".