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101200122020 = 22529174482969
BaseRepresentation
bin101111000111111111…
…1110101000010100100
3100200012210212212011102
41132033333311002210
53124224212401040
6114253553455232
710211555562344
oct1361777650244
9320183785142
10101200122020
1139a11915588
1217743871518
13970a34760a
144c805c2d24
15297479b515
hex178fff50a4

101200122020 has 24 divisors (see below), whose sum is σ = 219848542200. Its totient is φ = 39084184832.

The previous prime is 101200121999. The next prime is 101200122029. The reversal of 101200122020 is 20221002101.

It is a happy number.

101200122020 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 4 ways, for example, as 8962787584 + 92237334436 = 94672^2 + 303706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101200121992 and 101200122010.

It is not an unprimeable number, because it can be changed into a prime (101200122029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87240905 + ... + 87242064.

It is an arithmetic number, because the mean of its divisors is an integer number (9160355925).

Almost surely, 2101200122020 is an apocalyptic number.

101200122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200122020 is an abundant number, since it is smaller than the sum of its proper divisors (118648420180).

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

101200122020 is a wasteful number, since it uses less digits than its factorization.

101200122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174483007 (or 174483005 counting only the distinct ones).

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

Adding to 101200122020 its reverse (20221002101), we get a palindrome (121421124121).

The spelling of 101200122020 in words is "one hundred one billion, two hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 174482969 348965938 697931876 872414845 1744829690 3489659380 5060006101 10120012202 20240024404 25300030505 50600061010 101200122020