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1110002000100 = 223527171961139193
BaseRepresentation
bin10000001001110001010…
…001100110000011100100
310221010002221121000110220
4100021301101212003210
5121141241003000400
62205532231044340
7143123612216460
oct20116121460344
93833087530426
101110002000100
11398827211784
1215b1615106b0
1380899015c26
143ba1d9cb4a0
151dd18b067a0
hex102714660e4

1110002000100 has 1152 divisors, whose sum is σ = 4209530572800. Its totient is φ = 219768422400.

The previous prime is 1110002000071. The next prime is 1110002000101. The reversal of 1110002000100 is 10002000111.

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 not an unprimeable number, because it can be changed into a prime (1110002000101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5751305604 + ... + 5751305796.

It is an arithmetic number, because the mean of its divisors is an integer number (3654106400).

Almost surely, 21110002000100 is an apocalyptic number.

1110002000100 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 1110002000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104765286400).

1110002000100 is an abundant number, since it is smaller than the sum of its proper divisors (3099528572700).

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

1110002000100 is a wasteful number, since it uses less digits than its factorization.

1110002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1110002000100 its reverse (10002000111), we get a palindrome (1120004000211).

The spelling of 1110002000100 in words is "one trillion, one hundred ten billion, two million, one hundred", and thus it is an aban number.