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1121131197333 = 367231385773
BaseRepresentation
bin10000010100001000101…
…000000111001110010101
310222011211120010211000000
4100110020220013032111
5121332034041303313
62215012432241513
7143666450640600
oct20241050071625
93864746124000
101121131197333
113a2518373344
121613486a0299
1381950937834
143c397acd337
151e26abb6673
hex10508a07395

1121131197333 has 42 divisors (see below), whose sum is σ = 1955365105974. Its totient is φ = 640646378064.

The previous prime is 1121131197323. The next prime is 1121131197379. The reversal of 1121131197333 is 3337911311211.

It is a happy number.

1121131197333 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 311 + 9 + 7 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 900900908964 + 220230288369 = 949158^2 + 469287^2 .

It is not a de Polignac number, because 1121131197333 - 29 = 1121131196821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121131197323) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 15657166 + ... + 15728607.

It is an arithmetic number, because the mean of its divisors is an integer number (46556312047).

Almost surely, 21121131197333 is an apocalyptic number.

It is an amenable number.

1121131197333 is a deficient number, since it is larger than the sum of its proper divisors (834233908641).

1121131197333 is an frugal number, since it uses more digits than its factorization.

1121131197333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31385805 (or 31385783 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The spelling of 1121131197333 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred ninety-seven thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 11907 35721 31385773 94157319 219700411 282471957 659101233 847415871 1537902877 1977303699 2542247613 4613708631 5931911097 7626742839 13841125893 17795733291 22880228517 41523377679 53387199873 124570133037 160161599619 373710399111 1121131197333