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133012230110100 = 22325211107972112917
BaseRepresentation
bin11110001111100101010010…
…101110011111101110010100
3122102221211211000101112021200
4132033211102232133232110
5114413233021402010400
61150520550331112500
740005550026164325
oct3617452256375624
9572854730345250
10133012230110100
1139422196303710
1212b027b28a2730
13592accbb17013
1424bbb7d49244c
151059e47863b00
hex78f952b9fb94

133012230110100 has 432 divisors, whose sum is σ = 459154647596736. Its totient is φ = 31938271488000.

The previous prime is 133012230110063. The next prime is 133012230110189. The reversal of 133012230110100 is 1011032210331.

133012230110100 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 230 + 1 + 1 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 10297448842 + ... + 10297461758.

It is an arithmetic number, because the mean of its divisors is an integer number (1062857980548).

Almost surely, 2133012230110100 is an apocalyptic number.

133012230110100 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 133012230110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229577323798368).

133012230110100 is an abundant number, since it is smaller than the sum of its proper divisors (326142417486636).

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

133012230110100 is a wasteful number, since it uses less digits than its factorization.

133012230110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22776 (or 22766 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133012230110100 its reverse (1011032210331), we get a palindrome (134023262320431).

The spelling of 133012230110100 in words is "one hundred thirty-three trillion, twelve billion, two hundred thirty million, one hundred ten thousand, one hundred".