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10001100111000 = 2335337412197561
BaseRepresentation
bin1001000110001001000000…
…0001001111110010011000
31022102002120212021200102020
42101202100001033302120
52302324223112023000
633134235244134440
72051361404212065
oct221422001176230
938362525250366
1010001100111000
113206496314769
121156344237420
1357713b04788b
142680ad299c6c
151252417ebba0
hex9189004fc98

10001100111000 has 256 divisors, whose sum is σ = 32828411790720. Its totient is φ = 2531589120000.

The previous prime is 10001100110999. The next prime is 10001100111011. The reversal of 10001100111000 is 11100110001.

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 10001100111000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3452220 + ... + 5649780.

Almost surely, 210001100111000 is an apocalyptic number.

10001100111000 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 10001100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414205895360).

10001100111000 is an abundant number, since it is smaller than the sum of its proper divisors (22827311679720).

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

10001100111000 is a wasteful number, since it uses less digits than its factorization.

10001100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197663 (or 2197649 counting only the distinct ones).

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

Adding to 10001100111000 its reverse (11100110001), we get a palindrome (10012200221001).

Subtracting from 10001100111000 its reverse (11100110001), we obtain a palindrome (9990000000999).

It can be divided in two parts, 10001 and 100111000, that added together give a palindrome (100121001).

The spelling of 10001100111000 in words is "ten trillion, one billion, one hundred million, one hundred eleven thousand".