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102022102100 = 22523732735177
BaseRepresentation
bin101111100000011111…
…1011011110001010100
3100202100002120202212002
41133000333123301110
53132420124231400
6114511315414432
710241126362622
oct1370077336124
9322302522762
10102022102100
113a2a38a9366
1217932bb4418
13980b724c69
144d1b830512
1529c1a15ed5
hex17c0fdbc54

102022102100 has 36 divisors (see below), whose sum is σ = 221981576124. Its totient is φ = 40699418880.

The previous prime is 102022102037. The next prime is 102022102103. The reversal of 102022102100 is 1201220201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1946044996 + 100076057104 = 44114^2 + 316348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022102103) 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, 1330289 + ... + 1404888.

Almost surely, 2102022102100 is an apocalyptic number.

102022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022102100 is an abundant number, since it is smaller than the sum of its proper divisors (119959474024).

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

102022102100 is a wasteful number, since it uses less digits than its factorization.

102022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735564 (or 2735557 counting only the distinct ones).

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

Adding to 102022102100 its reverse (1201220201), we get a palindrome (103223322301).

The spelling of 102022102100 in words is "one hundred two billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 373 746 1492 1865 3730 7460 9325 18650 37300 2735177 5470354 10940708 13675885 27351770 54703540 68379425 136758850 273517700 1020221021 2040442042 4080884084 5101105105 10202210210 20404420420 25505525525 51011051050 102022102100