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12310221300 = 223521341167461
BaseRepresentation
bin10110111011011111…
…10001000111110100
31011202220212000222020
423131233301013310
5200202404040200
65353310433140
7614026104006
oct133557610764
934686760866
1012310221300
115247887513
1224768027b0
131212500b20
1484acd2376
154c0aecea0
hex2ddbf11f4

12310221300 has 288 divisors, whose sum is σ = 39613964544. Its totient is φ = 2932224000.

The previous prime is 12310221293. The next prime is 12310221307. The reversal of 12310221300 is 312201321.

It is an interprime number because it is at equal distance from previous prime (12310221293) and next prime (12310221307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12310221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310221307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26703070 + ... + 26703530.

It is an arithmetic number, because the mean of its divisors is an integer number (137548488).

Almost surely, 212310221300 is an apocalyptic number.

12310221300 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 12310221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806982272).

12310221300 is an abundant number, since it is smaller than the sum of its proper divisors (27303743244).

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

12310221300 is a wasteful number, since it uses less digits than its factorization.

12310221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12310221300 its reverse (312201321), we get a palindrome (12622422621).

The spelling of 12310221300 in words is "twelve billion, three hundred ten million, two hundred twenty-one thousand, three hundred".