233103000011100 has 72 divisors (see below), whose sum is σ = 674453925779760. Its totient is φ = 62159947860480.

The previous prime is 233103000011093. The next prime is 233103000011111. The reversal of 233103000011100 is 1110000301332.

It is a super-2 number, since 2×233103000011100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233103000011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16746736 + ... + 27325064.

It is an arithmetic number, because the mean of its divisors is an integer number (9367415635830).

Almost surely, 2^{233103000011100} is an apocalyptic number.

233103000011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233103000011100 is an abundant number, since it is smaller than the sum of its proper divisors (441350925768660).

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

233103000011100 is a wasteful number, since it uses less digits than its factorization.

233103000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10651799 (or 10651792 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 233103000011100 its reverse (1110000301332), we get a palindrome (234213000312432).

The spelling of 233103000011100 in words is "two hundred thirty-three trillion, one hundred three billion, eleven thousand, one hundred".