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2222221020100 = 2252472391978297
BaseRepresentation
bin100000010101100110101…
…100011100101111000100
321212102221101220022111221
4200111212230130233010
5242402102040120400
64420512500410124
7316356465003154
oct40254654345704
97772841808457
102222221020100
11787490918304
122ba8213a6944
1313172943c343
14797adc06764
153cc1218cc1a
hex20566b1cbc4

2222221020100 has 72 divisors (see below), whose sum is σ = 4945428472320. Its totient is φ = 866335384320.

The previous prime is 2222221020091. The next prime is 2222221020133. The reversal of 2222221020100 is 10201222222.

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 23 ways as a sum of consecutive naturals, for example, 134152 + ... + 2112448.

It is an arithmetic number, because the mean of its divisors is an integer number (68686506560).

Almost surely, 22222221020100 is an apocalyptic number.

2222221020100 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 2222221020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472714236160).

2222221020100 is an abundant number, since it is smaller than the sum of its proper divisors (2723207452220).

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

2222221020100 is a wasteful number, since it uses less digits than its factorization.

2222221020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978597 (or 1978590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222221020100 its reverse (10201222222), we get a palindrome (2232422242322).

The spelling of 2222221020100 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 239 470 478 940 956 1175 1195 2350 2390 4700 4780 5975 11233 11950 22466 23900 44932 56165 112330 224660 280825 561650 1123300 1978297 3956594 7913188 9891485 19782970 39565940 49457425 92979959 98914850 185959918 197829700 371919836 464899795 472812983 929799590 945625966 1859599180 1891251932 2324498975 2364064915 4648997950 4728129830 9297995900 9456259660 11820324575 22222210201 23640649150 44444420402 47281298300 88888840804 111111051005 222222102010 444444204020 555555255025 1111110510050 2222221020100