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11220002100 = 22325237347971
BaseRepresentation
bin10100111001100001…
…11010010100110100
31001221221102011101100
422130300322110310
5140434310031400
65053203330100
7545020305246
oct123460722464
931857364340
1011220002100
11483844270a
122211680930
13109a695cc8
147861bc096
1545a04a100
hex29cc3a534

11220002100 has 216 divisors, whose sum is σ = 36260366688. Its totient is φ = 2899756800.

The previous prime is 11220002099. The next prime is 11220002119. The reversal of 11220002100 is 120002211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11554615 + ... + 11555585.

It is an arithmetic number, because the mean of its divisors is an integer number (167872068).

Almost surely, 211220002100 is an apocalyptic number.

11220002100 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 11220002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130183344).

11220002100 is an abundant number, since it is smaller than the sum of its proper divisors (25040364588).

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

11220002100 is a wasteful number, since it uses less digits than its factorization.

11220002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

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

Adding to 11220002100 its reverse (120002211), we get a palindrome (11340004311).

The spelling of 11220002100 in words is "eleven billion, two hundred twenty million, two thousand, one hundred".