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10122222100 = 2252317319313
BaseRepresentation
bin10010110110101010…
…01101101000010100
3222010102202011022211
421123111031220110
5131212242101400
64352230203204
7505560316414
oct113325155024
928112664284
1010122222100
114324804311
121b65ab3504
13c54111943
146c049a644
153e39a1dba
hex25b54da14

10122222100 has 36 divisors (see below), whose sum is σ = 22034581884. Its totient is φ = 4036103680.

The previous prime is 10122222073. The next prime is 10122222113. The reversal of 10122222100 is 122222101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5098531216 + 5023690884 = 71404^2 + 70878^2 .

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, 127957 + ... + 191356.

It is an arithmetic number, because the mean of its divisors is an integer number (612071719).

Almost surely, 210122222100 is an apocalyptic number.

10122222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122222100 is an abundant number, since it is smaller than the sum of its proper divisors (11912359784).

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

10122222100 is a wasteful number, since it uses less digits than its factorization.

10122222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319644 (or 319637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10122222100 its reverse (122222101), we get a palindrome (10244444201).

Subtracting from 10122222100 its reverse (122222101), we obtain a palindrome (9999999999).

The spelling of 10122222100 in words is "ten billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7925 15850 31700 319313 638626 1277252 1596565 3193130 6386260 7982825 15965650 31931300 101222221 202444442 404888884 506111105 1012222210 2024444420 2530555525 5061111050 10122222100