Search a number
-
+
101043340314 = 2373167293999
BaseRepresentation
bin101111000011010100…
…1110000010000011010
3100122210212212112002120
41132012221300100122
53123414043342224
6114230233242110
710204643136000
oct1360651602032
9318725775076
10101043340314
1139941371124
12176bb263336
1396b3a12987
144c67850a70
152965b2c779
hex1786a7041a

101043340314 has 64 divisors (see below), whose sum is σ = 237081600000. Its totient is φ = 28696556784.

The previous prime is 101043340313. The next prime is 101043340339. The reversal of 101043340314 is 413043340101.

It is not an unprimeable number, because it can be changed into a prime (101043340313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196687 + ... + 490685.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400000).

Almost surely, 2101043340314 is an apocalyptic number.

101043340314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101043340314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800000).

101043340314 is an abundant number, since it is smaller than the sum of its proper divisors (136038259686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101043340314 is a wasteful number, since it uses less digits than its factorization.

101043340314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294192 (or 294178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101043340314 its reverse (413043340101), we get a palindrome (514086680415).

The spelling of 101043340314 in words is "one hundred one billion, forty-three million, three hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 167 294 334 343 501 686 1002 1029 1169 2058 2338 3507 7014 8183 16366 24549 49098 57281 114562 171843 293999 343686 587998 881997 1763994 2057993 4115986 6173979 12347958 14405951 28811902 43217853 49097833 86435706 98195666 100841657 147293499 201683314 294586998 302524971 343684831 605049942 687369662 1031054493 2062108986 2405793817 4811587634 7217381451 14434762902 16840556719 33681113438 50521670157 101043340314