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220001212100 = 22522419128681
BaseRepresentation
bin1100110011100100011…
…0000001011011000100
3210000212021002112102202
43030321012001123010
512101030302241400
6245022301254032
721615556306505
oct3147106013304
9700767075382
10220001212100
1185335a4895a
1236779b64318
131799102c717
14a910600bac
155ac937e4d5
hex33391816c4

220001212100 has 36 divisors (see below), whose sum is σ = 479383606548. Its totient is φ = 87635328000.

The previous prime is 220001212049. The next prime is 220001212117. The reversal of 220001212100 is 1212100022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26262147136 + 193739064964 = 162056^2 + 440158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4540241 + ... + 4588440.

It is an arithmetic number, because the mean of its divisors is an integer number (13316211293).

Almost surely, 2220001212100 is an apocalyptic number.

220001212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001212100 is an abundant number, since it is smaller than the sum of its proper divisors (259382394448).

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

220001212100 is a wasteful number, since it uses less digits than its factorization.

220001212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128936 (or 9128929 counting only the distinct ones).

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

Adding to 220001212100 its reverse (1212100022), we get a palindrome (221213312122).

The spelling of 220001212100 in words is "two hundred twenty billion, one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 9128681 18257362 36514724 45643405 91286810 182573620 228217025 456434050 912868100 2200012121 4400024242 8800048484 11000060605 22000121210 44000242420 55000303025 110000606050 220001212100