Search a number
-
+
102344321343 = 31137534913221
BaseRepresentation
bin101111101010000110…
…0100110100100111111
3100210011112220012120010
41133110030212210333
53134100121240333
6115003305554303
710252121243415
oct1372414464477
9323145805503
10102344321343
113a449779460
1217a02aa5993
139860402334
144d4c5492b5
1529dee63563
hex17d432693f

102344321343 has 64 divisors (see below), whose sum is σ = 156138223104. Its totient is φ = 59072832000.

The previous prime is 102344321279. The next prime is 102344321353. The reversal of 102344321343 is 343123443201.

It is a happy number.

It is not a de Polignac number, because 102344321343 - 26 = 102344321279 is a prime.

It is a super-2 number, since 2×1023443213432 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102344321343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102344321353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31772473 + ... + 31775693.

It is an arithmetic number, because the mean of its divisors is an integer number (2439659736).

Almost surely, 2102344321343 is an apocalyptic number.

102344321343 is a deficient number, since it is larger than the sum of its proper divisors (53793901761).

102344321343 is a wasteful number, since it uses less digits than its factorization.

102344321343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 102344321343 its reverse (343123443201), we get a palindrome (445467764544).

The spelling of 102344321343 in words is "one hundred two billion, three hundred forty-four million, three hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 3 11 33 37 53 111 159 407 491 583 1221 1473 1749 1961 3221 5401 5883 9663 16203 18167 21571 26023 35431 54501 64713 78069 106293 119177 170713 199837 286253 357531 512139 599511 858759 962851 1310947 1581511 1877843 2888553 3932841 4744533 5633529 6316381 10591361 17396621 18949143 31774083 52189863 58515907 69480191 83820083 175547721 208440573 251460249 643674977 922020913 1931024931 2766062739 3101343071 9304029213 34114773781 102344321343