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12300301100 = 22522311714567
BaseRepresentation
bin10110111010010011…
…11011001100101100
31011202020012001000102
423131021323030230
5200142334113400
65352314050232
7613545556103
oct133511731454
934666161012
1012300301100
1152422212aa
122473419978
131210439699
1484986d03a
154becdd9d5
hex2dd27b32c

12300301100 has 72 divisors (see below), whose sum is σ = 27882048768. Its totient is φ = 4701153600.

The previous prime is 12300301099. The next prime is 12300301103. The reversal of 12300301100 is 110300321.

It is a super-2 number, since 2×123003011002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12300301103) 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 23 ways as a sum of consecutive naturals, for example, 2691017 + ... + 2695583.

Almost surely, 212300301100 is an apocalyptic number.

12300301100 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 12300301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941024384).

12300301100 is an abundant number, since it is smaller than the sum of its proper divisors (15581747668).

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

12300301100 is a wasteful number, since it uses less digits than its factorization.

12300301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12300301100 its reverse (110300321), we get a palindrome (12410601421).

The spelling of 12300301100 in words is "twelve billion, three hundred million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1171 2300 2342 4567 4684 5855 9134 11710 18268 22835 23420 26933 29275 45670 53866 58550 91340 105041 107732 114175 117100 134665 210082 228350 269330 420164 456700 525205 538660 673325 1050410 1346650 2100820 2626025 2693300 5252050 5347957 10504100 10695914 21391828 26739785 53479570 106959140 123003011 133698925 246006022 267397850 492012044 534795700 615015055 1230030110 2460060220 3075075275 6150150550 12300301100