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12231320100 = 22352313130259
BaseRepresentation
bin10110110010000101…
…10010001000100100
31011120102101102212120
423121002302020210
5200022204220400
65341411345540
7612050335236
oct133102621044
934512342776
1012231320100
11520729690a
1224542b22b0
1311cc06691c
14840634256
154b8c14ca0
hex2d90b2224

12231320100 has 72 divisors (see below), whose sum is σ = 35502623520. Its totient is φ = 3251239680.

The previous prime is 12231320083. The next prime is 12231320113. The reversal of 12231320100 is 102313221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12231320100.

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, 28771 + ... + 159029.

Almost surely, 212231320100 is an apocalyptic number.

12231320100 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 12231320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751311760).

12231320100 is an abundant number, since it is smaller than the sum of its proper divisors (23271303420).

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

12231320100 is a wasteful number, since it uses less digits than its factorization.

12231320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130589 (or 130582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12231320100 its reverse (102313221), we get a palindrome (12333633321).

The spelling of 12231320100 in words is "twelve billion, two hundred thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 939 1252 1565 1878 3130 3756 4695 6260 7825 9390 15650 18780 23475 31300 46950 93900 130259 260518 390777 521036 651295 781554 1302590 1563108 1953885 2605180 3256475 3907770 6512950 7815540 9769425 13025900 19538850 39077700 40771067 81542134 122313201 163084268 203855335 244626402 407710670 489252804 611566005 815421340 1019276675 1223132010 2038553350 2446264020 3057830025 4077106700 6115660050 12231320100