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1135040135431 = 10729879355027
BaseRepresentation
bin10000100001000101101…
…010100000000100000111
311000111201220021002010111
4100201011222200010013
5122044030233313211
62225232533133451
7145001231651536
oct20410552400407
94014656232114
101135040135431
113a8405625404
12163b8a78a287
1383059412317
143cd1706031d
151e7d1d0d421
hex10845aa0107

1135040135431 has 8 divisors (see below), whose sum is σ = 1145689557120. Its totient is φ = 1124391483768.

The previous prime is 1135040135407. The next prime is 1135040135479. The reversal of 1135040135431 is 1345310405311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1135040135431 - 25 = 1135040135399 is a prime.

It is a super-2 number, since 2×11350401354312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1135040135393 and 1135040135402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135040135531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3019540 + ... + 3374566.

It is an arithmetic number, because the mean of its divisors is an integer number (143211194640).

Almost surely, 21135040135431 is an apocalyptic number.

1135040135431 is a deficient number, since it is larger than the sum of its proper divisors (10649421689).

1135040135431 is a wasteful number, since it uses less digits than its factorization.

1135040135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385013.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 1135040135431 in words is "one trillion, one hundred thirty-five billion, forty million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 107 29879 355027 3197053 37987889 10607851733 1135040135431