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10346383983 = 313243474583
BaseRepresentation
bin10011010001011000…
…10100101001101111
3222201001112202121210
421220230110221233
5132142133241413
64430354525503
7514251545535
oct115054245157
928631482553
1010346383983
11442a29a471
122008b96893
13c8b6a8800
1470216c155
154084d03c3
hex268b14a6f

10346383983 has 24 divisors (see below), whose sum is σ = 15285401472. Its totient is φ = 6218922528.

The previous prime is 10346383967. The next prime is 10346384011. The reversal of 10346383983 is 38938364301.

10346383983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10346383983 - 24 = 10346383967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346383933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215491 + ... + 259092.

It is an arithmetic number, because the mean of its divisors is an integer number (636891728).

Almost surely, 210346383983 is an apocalyptic number.

10346383983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10346383983 is a deficient number, since it is larger than the sum of its proper divisors (4939017489).

10346383983 is a wasteful number, since it uses less digits than its factorization.

10346383983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474655 (or 474642 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 10346383983 in words is "ten billion, three hundred forty-six million, three hundred eighty-three thousand, nine hundred eighty-three".

Divisors: 1 3 13 39 43 129 169 507 559 1677 7267 21801 474583 1423749 6169579 18508737 20407069 61221207 80204527 240613581 265291897 795875691 3448794661 10346383983