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22212102022100 = 2252222121020221
BaseRepresentation
bin1010000110011101010000…
…11100110110001111010100
32220122110022120200110110222
411003032220130312033110
510402410341104201400
6115124033201333512
74451525410664144
oct503165034661724
986573276613428
1022212102022100
117094110583381
1225a8a30037298
13c5179119caa3
1456b1001a6924
15287bc39ac185
hex1433a87363d4

22212102022100 has 18 divisors (see below), whose sum is σ = 48200261388174. Its totient is φ = 8884840808800.

The previous prime is 22212102022087. The next prime is 22212102022151. The reversal of 22212102022100 is 122020121222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2865510899524 + 19346591122576 = 1692782^2 + 4398476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111060510011 + ... + 111060510210.

It is an arithmetic number, because the mean of its divisors is an integer number (2677792299343).

Almost surely, 222212102022100 is an apocalyptic number.

22212102022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212102022100 is an abundant number, since it is smaller than the sum of its proper divisors (25988159366074).

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

22212102022100 is a wasteful number, since it uses less digits than its factorization.

22212102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222121020235 (or 222121020228 counting only the distinct ones).

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

Adding to 22212102022100 its reverse (122020121222), we get a palindrome (22334122143322).

The spelling of 22212102022100 in words is "twenty-two trillion, two hundred twelve billion, one hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222121020221 444242040442 888484080884 1110605101105 2221210202210 4442420404420 5553025505525 11106051011050 22212102022100