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1032012313119 = 32743154331137
BaseRepresentation
bin11110000010010001011…
…10100011001000011111
310122122210201020102111200
433001020232203020133
5113402030123004434
62110033325250543
7134363140631664
oct17011056431037
93578721212450
101032012313119
11368746056617
12148016a03a53
137641a529658
1437d41c33a6b
151bca1d86199
hexf048ba321f

1032012313119 has 12 divisors (see below), whose sum is σ = 1492690766736. Its totient is φ = 687082217472.

The previous prime is 1032012313103. The next prime is 1032012313121. The reversal of 1032012313119 is 9113132102301.

1032012313119 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 23 + 1 + 311 + 9 = 666.

It is not a de Polignac number, because 1032012313119 - 24 = 1032012313103 is a prime.

It is a super-2 number, since 2×10320123131192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032012313092 and 1032012313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032012313019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77158882 + ... + 77172255.

It is an arithmetic number, because the mean of its divisors is an integer number (124390897228).

Almost surely, 21032012313119 is an apocalyptic number.

1032012313119 is a deficient number, since it is larger than the sum of its proper divisors (460678453617).

1032012313119 is a wasteful number, since it uses less digits than its factorization.

1032012313119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154331886 (or 154331883 counting only the distinct ones).

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

The spelling of 1032012313119 in words is "one trillion, thirty-two billion, twelve million, three hundred thirteen thousand, one hundred nineteen".

Divisors: 1 3 9 743 2229 6687 154331137 462993411 1388980233 114668034791 344004104373 1032012313119