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12207243100 = 225213231133613
BaseRepresentation
bin10110101111001101…
…11011111101011100
31011111202002012102211
423113212323331130
5200000023234400
65335151330204
7611335566013
oct132746737534
934452065384
1012207243100
1151a4741468
122448220964
1311c7086890
1483b367a7a
154b6a5adba
hex2d79bbf5c

12207243100 has 144 divisors (see below), whose sum is σ = 30039452352. Its totient is φ = 4271984640.

The previous prime is 12207243047. The next prime is 12207243143. The reversal of 12207243100 is 134270221.

It is a super-2 number, since 2×122072431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376894 + ... + 3380506.

It is an arithmetic number, because the mean of its divisors is an integer number (208607308).

Almost surely, 212207243100 is an apocalyptic number.

12207243100 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 12207243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019726176).

12207243100 is an abundant number, since it is smaller than the sum of its proper divisors (17832209252).

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

12207243100 is a wasteful number, since it uses less digits than its factorization.

12207243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 12207243100 in words is "twelve billion, two hundred seven million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 113 115 130 226 230 260 299 325 452 460 565 575 598 650 1130 1150 1196 1300 1469 1495 2260 2300 2599 2825 2938 2990 3613 5198 5650 5876 5980 7226 7345 7475 10396 11300 12995 14452 14690 14950 18065 25990 29380 29900 33787 36130 36725 46969 51980 64975 67574 72260 73450 83099 90325 93938 129950 135148 146900 166198 168935 180650 187876 234845 259900 332396 337870 361300 408269 415495 469690 675740 816538 830990 844675 939380 1080287 1174225 1633076 1661980 1689350 2041345 2077475 2160574 2348450 3378700 4082690 4154950 4321148 4696900 5307497 5401435 8165380 8309900 9390187 10206725 10614994 10802870 18780374 20413450 21229988 21605740 26537485 27007175 37560748 40826900 46950935 53074970 54014350 93901870 106149940 108028700 122072431 132687425 187803740 234754675 244144862 265374850 469509350 488289724 530749700 610362155 939018700 1220724310 2441448620 3051810775 6103621550 12207243100