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100442014452 = 223213214619689
BaseRepresentation
bin101110110001011001…
…1111000001011110100
3100121020222101000002100
41131202303320023310
53121201123430302
6114050432542100
710154022015243
oct1354263701364
9317228330070
10100442014452
11396629980aa
12175719b1930
139619271760
144c0ba4095a
15292ce4bd1c
hex1762cf82f4

100442014452 has 36 divisors (see below), whose sum is σ = 273425485060. Its totient is φ = 30905235072.

The previous prime is 100442014451. The next prime is 100442014513. The reversal of 100442014452 is 254410244001.

100442014452 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 201 + 4 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25012687716 + 75429326736 = 158154^2 + 274644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442014451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107309377 + ... + 107310312.

Almost surely, 2100442014452 is an apocalyptic number.

100442014452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100442014452 is an abundant number, since it is smaller than the sum of its proper divisors (172983470608).

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

100442014452 is a wasteful number, since it uses less digits than its factorization.

100442014452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214619712 (or 214619707 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 100442014452 its reverse (254410244001), we get a palindrome (354852258453).

The spelling of 100442014452 in words is "one hundred billion, four hundred forty-two million, fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 214619689 429239378 643859067 858478756 1287718134 1931577201 2575436268 2790055957 3863154402 5580111914 7726308804 8370167871 11160223828 16740335742 25110503613 33480671484 50221007226 100442014452