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12230003303100 = 22355211263173969
BaseRepresentation
bin1011000111111000010100…
…0000001010001010111100
31121022011202221212111200000
42301332011000022022330
53100334021321144400
642002215211034300
72401405611563262
oct261760500121274
947264687774600
1012230003303100
113995796035770
12145630b43b990
136a939098c43b
14303d14728432
151631e5422600
hexb1f8500a2bc

12230003303100 has 432 divisors, whose sum is σ = 43533206196480. Its totient is φ = 2953559116800.

The previous prime is 12230003303057. The next prime is 12230003303107. The reversal of 12230003303100 is 130330003221.

12230003303100 is a `hidden beast` number, since 1 + 2 + 2 + 300 + 0 + 330 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×122300033031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230003303107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70212916 + ... + 70386884.

It is an arithmetic number, because the mean of its divisors is an integer number (100771310640).

Almost surely, 212230003303100 is an apocalyptic number.

12230003303100 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 12230003303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21766603098240).

12230003303100 is an abundant number, since it is smaller than the sum of its proper divisors (31303202893380).

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

12230003303100 is a wasteful number, since it uses less digits than its factorization.

12230003303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174272 (or 174253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12230003303100 its reverse (130330003221), we get a palindrome (12360333306321).

The spelling of 12230003303100 in words is "twelve trillion, two hundred thirty billion, three million, three hundred three thousand, one hundred".