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BaseRepresentation
bin10010101000001110…
…01101100000111100
3221210222212002021020
421110013031200330
5130440241023400
64332222304140
7502560020211
oct112407154074
927728762236
1010001111100
114272403882
121b31428050
13c34cb9126
146ac371b08
153d802c2a0
hex2541cd83c

10001111100 has 144 divisors (see below), whose sum is σ = 30744386400. Its totient is φ = 2505323520.

The previous prime is 10001111093. The next prime is 10001111123. The reversal of 10001111100 is 111110001.

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 47 ways as a sum of consecutive naturals, for example, 306366 + ... + 337434.

Almost surely, 210001111100 is an apocalyptic number.

10001111100 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 10001111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372193200).

10001111100 is an abundant number, since it is smaller than the sum of its proper divisors (20743275300).

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

10001111100 is a wasteful number, since it uses less digits than its factorization.

10001111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31152 (or 31145 counting only the distinct ones).

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

Adding to 10001111100 its reverse (111110001), we get a palindrome (10112221101).

It can be divided in two parts, 100011 and 11100, that added together give a palindrome (111111).

The spelling of 10001111100 in words is "ten billion, one million, one hundred eleven thousand, one hundred".