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1200911331321 = 32132280992
BaseRepresentation
bin10001011110011011111…
…001001010111111111001
311020210202120112112112100
4101132123321022333321
5124133431300100241
62315405133334013
7152522462614452
oct21363371127771
94223676475470
101200911331321
11423338158879
121748b2937309
138932634ac00
14421a5594129
1521389c049b6
hex1179be4aff9

1200911331321 has 27 divisors (see below), whose sum is σ = 1878415342479. Its totient is φ = 738996057072.

The previous prime is 1200911331251. The next prime is 1200911331331. The reversal of 1200911331321 is 1231331190021.

The square root of 1200911331321 is 1095861.

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

1200911331321 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 9 + 1 + 1 + 331 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177649605225 + 1023261726096 = 421485^2 + 1011564^2 .

It is not a de Polignac number, because 1200911331321 - 29 = 1200911330809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1200911331331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42724530 + ... + 42752628.

Almost surely, 21200911331321 is an apocalyptic number.

1200911331321 is the 1095861-st square number.

1200911331321 is the 547931-st centered octagonal number.

It is an amenable number.

1200911331321 is a deficient number, since it is larger than the sum of its proper divisors (677504011158).

1200911331321 is an frugal number, since it uses more digits than its factorization.

1200911331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56230 (or 28115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1200911331321 in words is "one trillion, two hundred billion, nine hundred eleven million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 28099 84297 252891 365287 1095861 3287583 4748731 14246193 42738579 789553801 2368661403 7105984209 10264199413 30792598239 92377794717 133434592369 400303777107 1200911331321