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12302359056 = 2436132792
BaseRepresentation
bin10110111010100011…
…10001101000010000
31011202101001121000000
423131101301220100
5200143400442211
65352430130000
7613602220011
oct133521615020
934671047000
1012302359056
1152433a7499
122474050900
1312109aa300
14849c47008
154c0098656
hex2dd471a10

12302359056 has 315 divisors, whose sum is σ = 39193923069. Its totient is φ = 3737425536.

The previous prime is 12302358961. The next prime is 12302359057. The reversal of 12302359056 is 65095320321.

The square root of 12302359056 is 110916.

It is a perfect power (a square), and thus also a powerful number.

12302359056 is a `hidden beast` number, since 12 + 3 + 0 + 2 + 3 + 590 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1819875600 + 10482483456 = 42660^2 + 102384^2 .

It is a super-2 number, since 2×123023590562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12302359056.

It is not an unprimeable number, because it can be changed into a prime (12302359057) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 155726025 + ... + 155726103.

Almost surely, 212302359056 is an apocalyptic number.

12302359056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12302359056 is the 110916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302359056

12302359056 is an abundant number, since it is smaller than the sum of its proper divisors (26891564013).

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

12302359056 is an frugal number, since it uses more digits than its factorization.

12302359056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 12302359056 by its sum of digits (36), we get a square (442884926016 = 6654962).

12302359056 divided by its sum of digits (36) gives a square (341732196 = 184862).

Adding to 12302359056 its reverse (65095320321), we get a palindrome (77397679377).

The spelling of 12302359056 in words is "twelve billion, three hundred two million, three hundred fifty-nine thousand, fifty-six".