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12210324100 = 22521352317959
BaseRepresentation
bin10110101111100101…
…01100001010000100
31011111221212201202221
423113302230022010
5200001320332400
65335341342124
7611404020352
oct132762541204
934457781687
1012210324100
1151a6456247
122449267944
1311c78c5060
1483b92a7d2
154b6e68c1a
hex2d7cac284

12210324100 has 72 divisors (see below), whose sum is σ = 28590739520. Its totient is φ = 4499556480.

The previous prime is 12210324097. The next prime is 12210324107. The reversal of 12210324100 is 142301221.

It is not an unprimeable number, because it can be changed into a prime (12210324107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670921 + ... + 688879.

Almost surely, 212210324100 is an apocalyptic number.

12210324100 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 12210324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295369760).

12210324100 is an abundant number, since it is smaller than the sum of its proper divisors (16380415420).

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

12210324100 is a wasteful number, since it uses less digits than its factorization.

12210324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18509 (or 18502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12210324100 its reverse (142301221), we get a palindrome (12352625321).

The spelling of 12210324100 in words is "twelve billion, two hundred ten million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 523 650 1046 1300 2092 2615 5230 6799 10460 13075 13598 17959 26150 27196 33995 35918 52300 67990 71836 89795 135980 169975 179590 233467 339950 359180 448975 466934 679900 897950 933868 1167335 1795900 2334670 4669340 5836675 9392557 11673350 18785114 23346700 37570228 46962785 93925570 122103241 187851140 234813925 244206482 469627850 488412964 610516205 939255700 1221032410 2442064820 3052581025 6105162050 12210324100