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1035141435133 = 13435931385993
BaseRepresentation
bin11110001000000110011…
…11001100111011111101
310122221212210020021221121
433010003033030323331
5113424432201411013
62111312025230541
7134533525010461
oct17040317147375
93587783207847
101035141435133
1136a001399273
1214874a932451
13767c88acb40
143815b64c4a1
151bdd693358d
hexf1033ccefd

1035141435133 has 16 divisors (see below), whose sum is σ = 1160026338240. Its totient is φ = 917475318144.

The previous prime is 1035141435131. The next prime is 1035141435161. The reversal of 1035141435133 is 3315341415301.

It is a cyclic number.

It is not a de Polignac number, because 1035141435133 - 21 = 1035141435131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035141435131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15660016 + ... + 15725977.

It is an arithmetic number, because the mean of its divisors is an integer number (72501646140).

Almost surely, 21035141435133 is an apocalyptic number.

1035141435133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1035141435133 is a deficient number, since it is larger than the sum of its proper divisors (124884903107).

1035141435133 is a wasteful number, since it uses less digits than its factorization.

1035141435133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31386108.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 1035141435133 in words is "one trillion, thirty-five billion, one hundred forty-one million, four hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 13 43 59 559 767 2537 32981 31385993 408017909 1349597699 1851773587 17544770087 24073056631 79626264241 1035141435133