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9900324230100 = 22352229367392669
BaseRepresentation
bin1001000000010001100101…
…0011110001001111010100
31022001110110121200111122220
42100010121103301033110
52244201331000330400
633020051323222340
72041163156313123
oct220043123611724
938043417614586
109900324230100
113177781a21887
12113a8ba6779b0
1356a79a87b515
1426326d18baba
151227e44017a0
hex901194f13d4

9900324230100 has 144 divisors (see below), whose sum is σ = 28848491078400. Its totient is φ = 2621388741120.

The previous prime is 9900324230029. The next prime is 9900324230107. The reversal of 9900324230100 is 10324230099.

It is a super-2 number, since 2×99003242301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900324230107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25016566 + ... + 25409234.

It is an arithmetic number, because the mean of its divisors is an integer number (200336743600).

Almost surely, 29900324230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900324230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424245539200).

9900324230100 is an abundant number, since it is smaller than the sum of its proper divisors (18948166848300).

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

9900324230100 is a wasteful number, since it uses less digits than its factorization.

9900324230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393282 (or 393275 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 9900324230100 its reverse (10324230099), we get a palindrome (9910648460199).

The spelling of 9900324230100 in words is "nine trillion, nine hundred billion, three hundred twenty-four million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 367 458 687 734 916 1101 1145 1374 1468 1835 2202 2290 2748 3435 3670 4404 4580 5505 5725 6870 7340 9175 11010 11450 13740 17175 18350 22020 22900 27525 34350 36700 55050 68700 84043 110100 168086 252129 336172 392669 420215 504258 785338 840430 1008516 1178007 1260645 1570676 1680860 1963345 2101075 2356014 2521290 3926690 4202150 4712028 5042580 5890035 6303225 7853380 8404300 9816725 11780070 12606450 19633450 23560140 25212900 29450175 39266900 58900350 89921201 117800700 144109523 179842402 269763603 288219046 359684804 432328569 449606005 539527206 576438092 720547615 864657138 899212010 1079054412 1348818015 1441095230 1729314276 1798424020 2161642845 2248030025 2697636030 2882190460 3602738075 4323285690 4496060050 5395272060 6744090075 7205476150 8646571380 8992120100 10808214225 13488180150 14410952300 21616428450 26976360300 33001080767 43232856900 66002161534 99003242301 132004323068 165005403835 198006484602 330010807670 396012969204 495016211505 660021615340 825027019175 990032423010 1650054038350 1980064846020 2475081057525 3300108076700 4950162115050 9900324230100