Search a number
-
+
100102012020200 = 2352500510060101
BaseRepresentation
bin10110110000101011010000…
…110111100010010111101000
3111010102122210022221002101002
4112300223100313202113220
5101110032410034121300
6552522121322214132
730041063114044661
oct2660532067422750
9433378708832332
10100102012020200
1129994030149893
12b288535354348
1343b176b74ac88
141aa0d6b17a368
15b88d3a4935d5
hex5b0ad0de25e8

100102012020200 has 24 divisors (see below), whose sum is σ = 232737177947430. Its totient is φ = 40040804808000.

The previous prime is 100102012020181. The next prime is 100102012020383. The reversal of 100102012020200 is 2020210201001.

It is a happy number.

100102012020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 69193549246756 + 30908462773444 = 8318266^2 + 5559538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250255029851 + ... + 250255030250.

Almost surely, 2100102012020200 is an apocalyptic number.

100102012020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012020200 is an abundant number, since it is smaller than the sum of its proper divisors (132635165927230).

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

100102012020200 is a wasteful number, since it uses less digits than its factorization.

100102012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500510060117 (or 500510060108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102012020200 its reverse (2020210201001), we get a palindrome (102122222221201).

The spelling of 100102012020200 in words is "one hundred trillion, one hundred two billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500510060101 1001020120202 2002040240404 2502550300505 4004080480808 5005100601010 10010201202020 12512751502525 20020402404040 25025503005050 50051006010100 100102012020200