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11224500100 = 22521139725703
BaseRepresentation
bin10100111010000100…
…00100011110000100
31001222020212200110221
422131002010132010
5140441433000400
65053443554124
7545103451042
oct123502043604
931866780427
1011224500100
11483aa35070
12221308b944
13109b5ac448
14786a2d392
1545a637c1a
hex29d084784

11224500100 has 72 divisors (see below), whose sum is σ = 26639419968. Its totient is φ = 4071196800.

The previous prime is 11224500071. The next prime is 11224500137. The reversal of 11224500100 is 100542211.

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 23 ways as a sum of consecutive naturals, for example, 423849 + ... + 449551.

It is an arithmetic number, because the mean of its divisors is an integer number (369991944).

Almost surely, 211224500100 is an apocalyptic number.

11224500100 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 11224500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319709984).

11224500100 is an abundant number, since it is smaller than the sum of its proper divisors (15414919868).

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

11224500100 is a wasteful number, since it uses less digits than its factorization.

11224500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26125 (or 26118 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The spelling of 11224500100 in words is "eleven billion, two hundred twenty-four million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 397 550 794 1100 1588 1985 3970 4367 7940 8734 9925 17468 19850 21835 25703 39700 43670 51406 87340 102812 109175 128515 218350 257030 282733 436700 514060 565466 642575 1130932 1285150 1413665 2570300 2827330 5654660 7068325 10204091 14136650 20408182 28273300 40816364 51020455 102040910 112245001 204081820 224490002 255102275 448980004 510204550 561225005 1020409100 1122450010 2244900020 2806125025 5612250050 11224500100