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202100022222101 = 97113173106578617
BaseRepresentation
bin101101111100111100010100…
…000010001001110100010101
3222111120120111000221020202222
4231330330110002021310111
5202442201321142101401
61553455245105512125
760366146644553543
oct5574742402116425
9874516430836688
10202100022222101
1159439157898003
121a800408642645
13889cc47b13653
1437c999c47ad93
1518571431e5c1b
hexb7cf14089d15

202100022222101 has 16 divisors (see below), whose sum is σ = 207181159731504. Its totient is φ = 197100524027904.

The previous prime is 202100022222097. The next prime is 202100022222181. The reversal of 202100022222101 is 101222220001202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5840796567076 + 196259225655025 = 2416774^2 + 14009255^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100022222101 - 22 = 202100022222097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202100022222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100022222181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51393056 + ... + 55185561.

It is an arithmetic number, because the mean of its divisors is an integer number (12948822483219).

Almost surely, 2202100022222101 is an apocalyptic number.

It is an amenable number.

202100022222101 is a deficient number, since it is larger than the sum of its proper divisors (5081137509403).

202100022222101 is a wasteful number, since it uses less digits than its factorization.

202100022222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106579000.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202100022222101 its reverse (101222220001202), we get a palindrome (303322242223303).

The spelling of 202100022222101 in words is "two hundred two trillion, one hundred billion, twenty-two million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 97 113 173 10961 16781 19549 1896253 106578617 10338125849 12043383721 18438100741 1168208220937 1788495771877 2083505383733 202100022222101