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20000222111100 = 2235271110110383227
BaseRepresentation
bin1001000110000101010100…
…01000100110010101111100
32121211000001212101220210210
410203002222020212111330
510110140423330023400
6110311550350432420
74132653101650050
oct443025210462574
977730055356723
1020000222111100
116411056a82430
1222b0215b02710
13b2102231031a
144d2031957c60
1524a3b960b950
hex1230aa22657c

20000222111100 has 576 divisors, whose sum is σ = 73568843292672. Its totient is φ = 4074744960000.

The previous prime is 20000222111069. The next prime is 20000222111123. The reversal of 20000222111100 is 111122200002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240267687 + ... + 240350913.

It is an arithmetic number, because the mean of its divisors is an integer number (127723686272).

Almost surely, 220000222111100 is an apocalyptic number.

20000222111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000222111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36784421646336).

20000222111100 is an abundant number, since it is smaller than the sum of its proper divisors (53568621181572).

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

20000222111100 is a wasteful number, since it uses less digits than its factorization.

20000222111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83466 (or 83459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20000222111100 its reverse (111122200002), we get a palindrome (20111344311102).

The spelling of 20000222111100 in words is "twenty trillion, two hundred twenty-two million, one hundred eleven thousand, one hundred".