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222221010112100 = 22522222210101121
BaseRepresentation
bin110010100001101111011100…
…010111101000111001100100
31002010211010021021110101020122
4302201233130113220321210
5213111332112042041400
62104342531150221112
764543636534653566
oct6241573427507144
91063733237411218
10222221010112100
1164896445a1157a
1220b0bb067b4798
1396cc474b6b82c
143cc37a8d19336
151aa5729b20685
hexca1bdc5e8e64

222221010112100 has 18 divisors (see below), whose sum is σ = 482219591943474. Its totient is φ = 88888404044800.

The previous prime is 222221010112051. The next prime is 222221010112103. The reversal of 222221010112100 is 1211010122222.

It can be written as a sum of positive squares in 3 ways, for example, as 2454379689316 + 219766630422784 = 1566646^2 + 14824528^2 .

It is not an unprimeable number, because it can be changed into a prime (222221010112103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1111105050461 + ... + 1111105050660.

It is an arithmetic number, because the mean of its divisors is an integer number (26789977330193).

Almost surely, 2222221010112100 is an apocalyptic number.

222221010112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221010112100 is an abundant number, since it is smaller than the sum of its proper divisors (259998581831374).

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

222221010112100 is a wasteful number, since it uses less digits than its factorization.

222221010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222210101135 (or 2222210101128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222221010112100 its reverse (1211010122222), we get a palindrome (223432020234322).

The spelling of 222221010112100 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2222210101121 4444420202242 8888840404484 11111050505605 22222101011210 44444202022420 55555252528025 111110505056050 222221010112100