Search a number
-
+
122313102310 = 2572375970871
BaseRepresentation
bin111000111101001101…
…1011101001111100110
3102200201012200101100101
41301322123131033212
54000444123233220
6132105002134314
711560014133630
oct1617233351746
9380635611311
10122313102310
1147966615123
121b8564b139a
13b6c3499169
145cc4625a50
1532ad0b430a
hex1c7a6dd3e6

122313102310 has 32 divisors (see below), whose sum is σ = 262555333632. Its totient is φ = 40112619360.

The previous prime is 122313102283. The next prime is 122313102323. The reversal of 122313102310 is 13201313221.

It is a super-3 number, since 3×1223131023103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37983826 + ... + 37987045.

It is an arithmetic number, because the mean of its divisors is an integer number (8204854176).

Almost surely, 2122313102310 is an apocalyptic number.

122313102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122313102310 is an abundant number, since it is smaller than the sum of its proper divisors (140242231322).

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

122313102310 is a wasteful number, since it uses less digits than its factorization.

122313102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75970908.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122313102310 its reverse (13201313221), we get a palindrome (135514415531).

The spelling of 122313102310 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 75970871 151941742 379854355 531796097 759708710 1063592194 1747330033 2658980485 3494660066 5317960970 8736650165 12231310231 17473300330 24462620462 61156551155 122313102310