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12200223100 = 22521316695623
BaseRepresentation
bin10110101110011000…
…01010000101111100
31011111020212112210211
423113030022011330
5144441224114400
65334341042204
7611222120362
oct132714120574
934436775724
1012200223100
1151a078720a
1224459b6364
1311c5799530
1483a45b632
154b6120dba
hex2d730a17c

12200223100 has 72 divisors (see below), whose sum is σ = 28533139040. Its totient is φ = 4501198080.

The previous prime is 12200223067. The next prime is 12200223127. The reversal of 12200223100 is 132200221.

12200223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122002231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2166889 + ... + 2172511.

Almost surely, 212200223100 is an apocalyptic number.

12200223100 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 12200223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266569520).

12200223100 is an abundant number, since it is smaller than the sum of its proper divisors (16332915940).

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

12200223100 is a wasteful number, since it uses less digits than its factorization.

12200223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12200223100 its reverse (132200221), we get a palindrome (12332423321).

The spelling of 12200223100 in words is "twelve billion, two hundred million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1669 3338 5623 6676 8345 11246 16690 21697 22492 28115 33380 41725 43394 56230 73099 83450 86788 108485 112460 140575 146198 166900 216970 281150 292396 365495 433940 542425 562300 730990 1084850 1461980 1827475 2169700 3654950 7309900 9384787 18769574 37539148 46923935 93847870 122002231 187695740 234619675 244004462 469239350 488008924 610011155 938478700 1220022310 2440044620 3050055775 6100111550 12200223100