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102022100200 = 2352510110501
BaseRepresentation
bin101111100000011111…
…1011011010011101000
3100202100002120200020201
41133000333123103220
53132420124201300
6114511315401544
710241126354236
oct1370077332350
9322302520221
10102022100200
113a2a38a7999
1217932bb32b4
13980b724137
144d1b82d956
1529c1a1566a
hex17c0fdb4e8

102022100200 has 24 divisors (see below), whose sum is σ = 237201383430. Its totient is φ = 40808840000.

The previous prime is 102022100177. The next prime is 102022100207. The reversal of 102022100200 is 2001220201.

It can be written as a sum of positive squares in 3 ways, for example, as 88471743364 + 13550356836 = 297442^2 + 116406^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102022100207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255055051 + ... + 255055450.

Almost surely, 2102022100200 is an apocalyptic number.

102022100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022100200 is an abundant number, since it is smaller than the sum of its proper divisors (135179283230).

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

102022100200 is a wasteful number, since it uses less digits than its factorization.

102022100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510110517 (or 510110508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102022100200 its reverse (2001220201), we get a palindrome (104023320401).

The spelling of 102022100200 in words is "one hundred two billion, twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 510110501 1020221002 2040442004 2550552505 4080884008 5101105010 10202210020 12752762525 20404420040 25505525050 51011050100 102022100200