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1222100100 = 22325213671559
BaseRepresentation
bin100100011010111…
…1100010010000100
310011011121010011200
41020311330102010
510000324200400
6321133502500
742166452024
oct11065742204
93134533150
101222100100
11577930991
122a1341a30
13166261770
14b8443a84
1572453b00
hex48d7c484

1222100100 has 216 divisors, whose sum is σ = 4189523520. Its totient is φ = 296144640.

The previous prime is 1222100071. The next prime is 1222100137. The reversal of 1222100100 is 10012221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 783121 + ... + 784679.

Almost surely, 21222100100 is an apocalyptic number.

1222100100 is a gapful number since it is divisible by the number (10) 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 1222100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094761760).

1222100100 is an abundant number, since it is smaller than the sum of its proper divisors (2967423420).

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

1222100100 is a wasteful number, since it uses less digits than its factorization.

1222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1222100100 is about 34958.5483108209. The cubic root of 1222100100 is about 1069.1424987016.

Adding to 1222100100 its reverse (10012221), we get a palindrome (1232112321).

The spelling of 1222100100 in words is "one billion, two hundred twenty-two million, one hundred thousand, one hundred".