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1232012102321 = 721121315984173
BaseRepresentation
bin10001111011011001101…
…001001100101010110001
311100210001001010101211202
4101323121221030222301
5130141130044233241
62341551211020545
7155003260040300
oct21733151145261
94323031111752
101232012102321
11435547793400
1217a93243a755
138c2417a38a0
14438b5c9c437
15220aa2b7d9b
hex11ed9a4cab1

1232012102321 has 36 divisors (see below), whose sum is σ = 1696464323316. Its totient is φ = 886162495680.

The previous prime is 1232012102297. The next prime is 1232012102339.

1232012102321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 849228599296 + 382783503025 = 921536^2 + 618695^2 .

It is not a de Polignac number, because 1232012102321 - 238 = 957134195377 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1232012102293 and 1232012102302.

It is not an unprimeable number, because it can be changed into a prime (1232012102821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7915010 + ... + 8069163.

It is an arithmetic number, because the mean of its divisors is an integer number (47124008981).

Almost surely, 21232012102321 is an apocalyptic number.

1232012102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1232012102321 is a deficient number, since it is larger than the sum of its proper divisors (464452220995).

1232012102321 is a wasteful number, since it uses less digits than its factorization.

1232012102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984222 (or 15984204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 1232012102321 in words is "one trillion, two hundred thirty-two billion, twelve million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 15984173 111889211 175825903 207794249 783224477 1230781321 1454559743 1934084933 2285736739 8615469247 10181918201 13538594531 16000157173 25143104129 94770161717 112001100211 176001728903 1232012102321