Search a number
-
+
101320340122131 = 31336592141933149
BaseRepresentation
bin10111000010011001111010…
…111000011010101000010011
3111021202010111201012020121120
4113002121322320122220103
5101240013024032402011
6555253531025453323
730225103324044354
oct2702317270325023
9437663451166546
10101320340122131
112a313795646159
12b444688aa1243
13446c60c2230c0
141b03d058dbd2b
15baa894247a06
hex5c267ae1aa13

101320340122131 has 32 divisors (see below), whose sum is σ = 145536562080000. Its totient is φ = 62329147548288.

The previous prime is 101320340122117. The next prime is 101320340122189. The reversal of 101320340122131 is 131221043023101.

It is not a de Polignac number, because 101320340122131 - 29 = 101320340121619 is a prime.

It is a super-2 number, since 2×1013203401221312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101320340122031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3056496145 + ... + 3056529293.

It is an arithmetic number, because the mean of its divisors is an integer number (4548017565000).

Almost surely, 2101320340122131 is an apocalyptic number.

101320340122131 is a deficient number, since it is larger than the sum of its proper divisors (44216221957869).

101320340122131 is a wasteful number, since it uses less digits than its factorization.

101320340122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58243.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101320340122131 its reverse (131221043023101), we get a palindrome (232541383145232).

The spelling of 101320340122131 in words is "one hundred one trillion, three hundred twenty billion, three hundred forty million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 3659 10977 21419 33149 47567 64257 99447 142701 278447 430937 835341 1292811 78372121 121292191 235116363 363876573 710018431 1018837573 1576798483 2130055293 3056512719 4730395449 9230239603 27690718809 2597957439029 7793872317087 33773446707377 101320340122131