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100011111111100 = 2252727313712591621
BaseRepresentation
bin10110101111010110100110…
…110000000101100110111100
3111010002222011021211110022001
4112233112212300011212330
5101102040223421023400
6552412245320232044
730031364365055200
oct2657264660054674
9433088137743261
10100011111111100
1129959523a35422
12b2729a690b624
1343a60130a45b7
141a9a7c6766b00
15b867b9eaaa6a
hex5af5a6c059bc

100011111111100 has 432 divisors, whose sum is σ = 258146826608160. Its totient is φ = 33525583257600.

The previous prime is 100011111111097. The next prime is 100011111111101. The reversal of 100011111111100 is 1111111110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111111101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61697168290 + ... + 61697169910.

It is an arithmetic number, because the mean of its divisors is an integer number (597562098630).

Almost surely, 2100011111111100 is an apocalyptic number.

100011111111100 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 100011111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129073413304080).

100011111111100 is an abundant number, since it is smaller than the sum of its proper divisors (158135715497060).

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

100011111111100 is a wasteful number, since it uses less digits than its factorization.

100011111111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100011111111100 its reverse (1111111110001), we get a palindrome (101122222221101).

The spelling of 100011111111100 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred".