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12245553100 = 225211101110221
BaseRepresentation
bin10110110011110010…
…00100111111001100
31011121102011112212201
423121321010333030
5200034330144400
65343040411244
7612312324664
oct133171047714
934542145781
1012245553100
115214328320
122459016b24
131201cab111
1484249b1a4
154ba0c706a
hex2d9e44fcc

12245553100 has 72 divisors (see below), whose sum is σ = 29275844976. Its totient is φ = 4408800000.

The previous prime is 12245553077. The next prime is 12245553113. The reversal of 12245553100 is 135554221.

It is a super-2 number, since 2×122455531002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55990 + ... + 166210.

It is an arithmetic number, because the mean of its divisors is an integer number (406608958).

Almost surely, 212245553100 is an apocalyptic number.

12245553100 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 12245553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637922488).

12245553100 is an abundant number, since it is smaller than the sum of its proper divisors (17030291876).

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

12245553100 is a wasteful number, since it uses less digits than its factorization.

12245553100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110347 (or 110340 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 12245553100 in words is "twelve billion, two hundred forty-five million, five hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 110221 111100 220442 440884 551105 1102210 1212431 2204420 2424862 2755525 4849724 5511050 6062155 11022100 11132321 12124310 22264642 24248620 30310775 44529284 55661605 60621550 111323210 121243100 122455531 222646420 244911062 278308025 489822124 556616050 612277655 1113232100 1224555310 2449110620 3061388275 6122776550 12245553100