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10413313119 = 321129562271
BaseRepresentation
bin10011011001010111…
…01000110001011111
3222212201111010010200
421230223220301133
5132311302004434
64441145234543
7516023462316
oct115453506137
928781433120
1010413313119
114464053300
122027492a53
13c9c510651
1470add127d
1540e301199
hex26cae8c5f

10413313119 has 18 divisors (see below), whose sum is σ = 16533168288. Its totient is φ = 6311098200.

The previous prime is 10413313073. The next prime is 10413313121. The reversal of 10413313119 is 91131331401.

It is a happy number.

10413313119 is a `hidden beast` number, since 10 + 4 + 1 + 331 + 311 + 9 = 666.

10413313119 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10413313119 - 211 = 10413311071 is a prime.

It is a super-2 number, since 2×104133131192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10413313092 and 10413313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413313159) 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 17 ways as a sum of consecutive naturals, for example, 4780047 + ... + 4782224.

Almost surely, 210413313119 is an apocalyptic number.

10413313119 is a deficient number, since it is larger than the sum of its proper divisors (6119855169).

10413313119 is a wasteful number, since it uses less digits than its factorization.

10413313119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562299 (or 9562285 counting only the distinct ones).

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

The spelling of 10413313119 in words is "ten billion, four hundred thirteen million, three hundred thirteen thousand, one hundred nineteen".

Divisors: 1 3 9 11 33 99 121 363 1089 9562271 28686813 86060439 105184981 315554943 946664829 1157034791 3471104373 10413313119