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1123012836729 = 31074892
BaseRepresentation
bin10000010101111000110…
…001111111110101111001
310222100200200210000000000
4100111320301333311321
5121344412241233404
62215523250303213
7144064206420000
oct20257061776571
93870620700000
101123012836729
113a32a3518923
12161792887b09
1381b90710224
143c4d5977c37
151e32ae99339
hex10578c7fd79

1123012836729 has 165 divisors, whose sum is σ = 1987472806703. Its totient is φ = 634511265696.

The previous prime is 1123012836661. The next prime is 1123012836749. The reversal of 1123012836729 is 9276382103211.

It is a happy number.

The square root of 1123012836729 is 1059723.

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

1123012836729 is a `hidden beast` number, since 1 + 1 + 2 + 301 + 283 + 67 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215642283129 + 907370553600 = 464373^2 + 952560^2 .

It is not a de Polignac number, because 1123012836729 - 27 = 1123012836601 is a prime.

It is a super-2 number, since 2×11230128367292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1123012836749) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 12618121717 + ... + 12618121805.

Almost surely, 21123012836729 is an apocalyptic number.

1123012836729 is the 1059723-rd square number.

1123012836729 is the 529862-nd centered octagonal number.

It is an amenable number.

1123012836729 is a deficient number, since it is larger than the sum of its proper divisors (864459969974).

1123012836729 is an frugal number, since it uses more digits than its factorization.

1123012836729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1123012836729 in words is "one trillion, one hundred twenty-three billion, twelve million, eight hundred thirty-six thousand, seven hundred twenty-nine".