Search a number
-
+
20222102002100 = 2252733275881337
BaseRepresentation
bin1001001100100010100110…
…01101001101100110110100
32122121012210001120020012112
410212101103031031212310
510122304331103031400
6111001523322510152
74154666352625535
oct446212315154664
978535701506175
1020222102002100
116497166433579
122327219065358
13b38c22619a5b
144dca7d87268c
15251053886835
hex12645334d9b4

20222102002100 has 36 divisors (see below), whose sum is σ = 43941827753964. Its totient is φ = 8077805518080.

The previous prime is 20222102002049. The next prime is 20222102002127. The reversal of 20222102002100 is 120020122202.

It can be written as a sum of positive squares in 6 ways, for example, as 2579094673936 + 17643007328164 = 1605956^2 + 4200358^2 .

It is a congruent number.

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, 137867369 + ... + 138013968.

It is an arithmetic number, because the mean of its divisors is an integer number (1220606326499).

Almost surely, 220222102002100 is an apocalyptic number.

20222102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222102002100 is an abundant number, since it is smaller than the sum of its proper divisors (23719725751864).

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

20222102002100 is a wasteful number, since it uses less digits than its factorization.

20222102002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275882084 (or 275882077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222102002100 its reverse (120020122202), we get a palindrome (20342122124302).

The spelling of 20222102002100 in words is "twenty trillion, two hundred twenty-two billion, one hundred two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 733 1466 2932 3665 7330 14660 18325 36650 73300 275881337 551762674 1103525348 1379406685 2758813370 5517626740 6897033425 13794066850 27588133700 202221020021 404442040042 808884080084 1011105100105 2022210200210 4044420400420 5055525500525 10111051001050 20222102002100