Search a number
-
+
10342206413 = 7211103311599
BaseRepresentation
bin10011010000111000…
…11000101111001101
3222200202200112001222
421220130120233031
5132140101101123
64430125213125
7514201206200
oct115034305715
928622615058
1010342206413
1144279a6830
1220077011a5
13c8a875186
147017a1937
15407e576c8
hex268718bcd

10342206413 has 48 divisors (see below), whose sum is σ = 13316659200. Its totient is φ = 7941679200.

The previous prime is 10342206401. The next prime is 10342206437. The reversal of 10342206413 is 31460224301.

10342206413 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 10342206413 - 26 = 10342206349 is a prime.

It is a super-2 number, since 2×103422064132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342206443) 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 47 ways as a sum of consecutive naturals, for example, 17265488 + ... + 17266086.

It is an arithmetic number, because the mean of its divisors is an integer number (277430400).

Almost surely, 210342206413 is an apocalyptic number.

It is an amenable number.

10342206413 is a deficient number, since it is larger than the sum of its proper divisors (2974452787).

10342206413 is a wasteful number, since it uses less digits than its factorization.

10342206413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 10342206413 in words is "ten billion, three hundred forty-two million, two hundred six thousand, four hundred thirteen".

Divisors: 1 7 11 49 77 103 311 539 599 721 1133 2177 3421 4193 5047 6589 7931 15239 23947 29351 32033 46123 55517 61697 167629 186289 224231 322861 352363 431879 678667 1304023 1569617 2049179 2466541 3023153 4750669 9128161 14344253 17265787 19187767 33254683 100409771 134314369 211065437 940200583 1477458059 10342206413