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12210000102300 = 223527111341997039
BaseRepresentation
bin1011000110101101110010…
…1110000000001110011100
31121020021010220022121202010
42301223130232000032130
53100022040011233200
641545110245031220
72400100120305510
oct261533456001634
947207126277663
1012210000102300
11398826081a960
1214524683b5510
136a7523733950
14302d77c4c140
15162924273150
hexb1adcb8039c

12210000102300 has 576 divisors, whose sum is σ = 47546556825600. Its totient is φ = 2336364518400.

The previous prime is 12210000102277. The next prime is 12210000102389. The reversal of 12210000102300 is 320100001221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125777181 + ... + 125874219.

It is an arithmetic number, because the mean of its divisors is an integer number (82546105600).

Almost surely, 212210000102300 is an apocalyptic number.

12210000102300 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 12210000102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23773278412800).

12210000102300 is an abundant number, since it is smaller than the sum of its proper divisors (35336556723300).

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

12210000102300 is a wasteful number, since it uses less digits than its factorization.

12210000102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97506 (or 97499 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12210000102300 its reverse (320100001221), we get a palindrome (12530100103521).

The spelling of 12210000102300 in words is "twelve trillion, two hundred ten billion, one hundred two thousand, three hundred".