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111242693100 = 223527112894919
BaseRepresentation
bin110011110011010010…
…1001100100111101100
3101122010200202022211110
41213212211030213230
53310311112134400
6123034300552020
711015461201260
oct1474645144754
9348120668743
10111242693100
11431a5666900
1219686b52610
13a64aabb976
1455542680a0
152d61267e50
hex19e694c9ec

111242693100 has 432 divisors, whose sum is σ = 408948825600. Its totient is φ = 22850995200.

The previous prime is 111242693099. The next prime is 111242693147. The reversal of 111242693100 is 1396242111.

111242693100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1112426931002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22612441 + ... + 22617359.

It is an arithmetic number, because the mean of its divisors is an integer number (946640800).

Almost surely, 2111242693100 is an apocalyptic number.

111242693100 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 111242693100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204474412800).

111242693100 is an abundant number, since it is smaller than the sum of its proper divisors (297706132500).

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

111242693100 is a wasteful number, since it uses less digits than its factorization.

111242693100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 111242693100 in words is "one hundred eleven billion, two hundred forty-two million, six hundred ninety-three thousand, one hundred".