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1230322421601 = 32721321722392
BaseRepresentation
bin10001111001110100111…
…011100100111101100001
311100121200021200201122100
4101321310323210331201
5130124200014442401
62341111411201013
7154613352014400
oct21716473447541
94317607621570
101230322421601
1143485aa29259
1217a5405a6169
138c0326cb300
1443795701637
152200bca1b86
hex11e74ee4f61

1230322421601 has 243 divisors, whose sum is σ = 2387945370681. Its totient is φ = 608231490048.

The previous prime is 1230322421599. The next prime is 1230322421651. The reversal of 1230322421601 is 1061242230321.

The square root of 1230322421601 is 1109199.

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

1230322421601 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 32 + 2 + 4 + 21 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11108949201 + 1219213472400 = 105399^2 + 1104180^2 .

It is not a de Polignac number, because 1230322421601 - 21 = 1230322421599 is a prime.

It is a super-2 number, since 2×12303224216012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1230322421651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5147792440 + ... + 5147792678.

Almost surely, 21230322421601 is an apocalyptic number.

1230322421601 is the 1109199-th square number.

1230322421601 is the 554600-th centered octagonal number.

It is an amenable number.

1230322421601 is a deficient number, since it is larger than the sum of its proper divisors (1157622949080).

1230322421601 is a wasteful number, since it uses less digits than its factorization.

1230322421601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1230322421601 its reverse (1061242230321), we get a palindrome (2291564651922).

The spelling of 1230322421601 in words is "one trillion, two hundred thirty billion, three hundred twenty-two million, four hundred twenty-one thousand, six hundred one".