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13111001323029 = 322400496068669
BaseRepresentation
bin1011111011001010010010…
…0100111001011000010101
31201102101210020001222121200
42332302210210321120111
53204302312314314104
643515035540103113
72522144556313101
oct276624444713025
951371706058550
1013111001323029
1141a53874976a5
121578bbb994a99
1374149276674c
1433480c1bc901
1517b0a9622b39
hexbeca4939615

13111001323029 has 12 divisors (see below), whose sum is σ = 18938195035500. Its totient is φ = 8740629696384.

The previous prime is 13111001322949. The next prime is 13111001323097. The reversal of 13111001323029 is 92032310011131.

13111001323029 is a `hidden beast` number, since 1 + 311 + 1 + 0 + 0 + 1 + 323 + 0 + 29 = 666.

13111001323029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11694163426929 + 1416837896100 = 3419673^2 + 1190310^2 .

It is not a de Polignac number, because 13111001323029 - 28 = 13111001322773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13111001322993 and 13111001323011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111001343029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873894 + ... + 5194775.

It is an arithmetic number, because the mean of its divisors is an integer number (1578182919625).

Almost surely, 213111001323029 is an apocalyptic number.

It is an amenable number.

13111001323029 is a deficient number, since it is larger than the sum of its proper divisors (5827193712471).

13111001323029 is a wasteful number, since it uses less digits than its factorization.

13111001323029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308724 (or 6308721 counting only the distinct ones).

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

It can be divided in two parts, 1311100 and 1323029, that added together give a square (2634129 = 16232).

The spelling of 13111001323029 in words is "thirteen trillion, one hundred eleven billion, one million, three hundred twenty-three thousand, twenty-nine".

Divisors: 1 3 9 240049 720147 2160441 6068669 18206007 54618021 1456777924781 4370333774343 13111001323029