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1042135119 = 33211182927
BaseRepresentation
bin111110000111011…
…011100001001111
32200121221221122000
4332013123201033
54113241310434
6251224323343
734553000544
oct7607334117
92617857560
101042135119
114952925a3
12251013553
13137ba07cc
149c598bcb
1561755b99
hex3e1db84f

1042135119 has 16 divisors (see below), whose sum is σ = 1551229440. Its totient is φ = 691460280.

The previous prime is 1042135109. The next prime is 1042135147. The reversal of 1042135119 is 9115312401.

It is a happy number.

It is not a de Polignac number, because 1042135119 - 225 = 1008580687 is a prime.

It is a super-2 number, since 2×10421351192 = 2172091212506288322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1042135092 and 1042135101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042135109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85767 + ... + 97160.

It is an arithmetic number, because the mean of its divisors is an integer number (96951840).

Almost surely, 21042135119 is an apocalyptic number.

1042135119 is a deficient number, since it is larger than the sum of its proper divisors (509094321).

1042135119 is a wasteful number, since it uses less digits than its factorization.

1042135119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183147 (or 183141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1042135119 is about 32282.1176350003. The cubic root of 1042135119 is about 1013.8522683135.

It can be divided in two parts, 1042 and 135119, that added together give a square (136161 = 3692).

The spelling of 1042135119 in words is "one billion, forty-two million, one hundred thirty-five thousand, one hundred nineteen".

Divisors: 1 3 9 27 211 633 1899 5697 182927 548781 1646343 4939029 38597597 115792791 347378373 1042135119