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100201221220 = 2255010061061
BaseRepresentation
bin101110101010001110…
…1010100110001100100
3100120122012021102212111
41131110131110301210
53120203003034340
6114010511530404
710145036220202
oct1352435246144
9316565242774
10100201221220
1139549a82631
1217505229a04
1395ab403859
144bc7a80072
152916c35aea
hex1754754c64

100201221220 has 12 divisors (see below), whose sum is σ = 210422564604. Its totient is φ = 40080488480.

The previous prime is 100201221217. The next prime is 100201221233. The reversal of 100201221220 is 22122102001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23609551716 + 76591669504 = 153654^2 + 276752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100201221220.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505030511 + ... + 2505030550.

It is an arithmetic number, because the mean of its divisors is an integer number (17535213717).

Almost surely, 2100201221220 is an apocalyptic number.

100201221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201221220 is an abundant number, since it is smaller than the sum of its proper divisors (110221343384).

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

100201221220 is a wasteful number, since it uses less digits than its factorization.

100201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010061070 (or 5010061068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100201221220 its reverse (22122102001), we get a palindrome (122323323221).

The spelling of 100201221220 in words is "one hundred billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5010061061 10020122122 20040244244 25050305305 50100610610 100201221220