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10341744327 = 321982972953
BaseRepresentation
bin10011010000110101…
…00111111011000111
3222200201211001012200
421220122213323013
5132134441304302
64430111245543
7514164243045
oct115032477307
928621731180
1010341744327
114427710642
1220075198b3
13c8a742a55
147016c1395
15407db581c
hex2686a7ec7

10341744327 has 24 divisors (see below), whose sum is σ = 15743473200. Its totient is φ = 6523659648.

The previous prime is 10341744319. The next prime is 10341744349. The reversal of 10341744327 is 72344714301.

It is not a de Polignac number, because 10341744327 - 23 = 10341744319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10341744291 and 10341744300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341744397) 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 23 ways as a sum of consecutive naturals, for example, 105283 + ... + 178235.

It is an arithmetic number, because the mean of its divisors is an integer number (655978050).

Almost surely, 210341744327 is an apocalyptic number.

10341744327 is a deficient number, since it is larger than the sum of its proper divisors (5401728873).

10341744327 is a wasteful number, since it uses less digits than its factorization.

10341744327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73807 (or 73804 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10341744327 in words is "ten billion, three hundred forty-one million, seven hundred forty-four thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 57 171 829 2487 7461 15751 47253 72953 141759 218859 656577 1386107 4158321 12474963 60478037 181434111 544302333 1149082703 3447248109 10341744327