Search a number
-
+
101332020311223 = 31323039112776463
BaseRepresentation
bin10111000010100100110011…
…000100110011010010110111
3111021210020122201112022212120
4113002210303010303102313
5101240210434144424343
6555303142032451023
730225665633030652
oct2702446304632267
9437706581468776
10101332020311223
112a318739822099
12b4469a86a9a73
1344707510417b0
141b046d2c6a899
15baad29894683
hex5c29331334b7

101332020311223 has 16 divisors (see below), whose sum is σ = 145508704911360. Its totient is φ = 62355459157344.

The previous prime is 101332020311189. The next prime is 101332020311237. The reversal of 101332020311223 is 322113020233101.

It is not a de Polignac number, because 101332020311223 - 224 = 101332003534007 is a prime.

It is a super-2 number, since 2×1013320203112232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101332020311193 and 101332020311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332020311293) 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 15 ways as a sum of consecutive naturals, for example, 55489711 + ... + 57286752.

It is an arithmetic number, because the mean of its divisors is an integer number (9094294056960).

Almost surely, 2101332020311223 is an apocalyptic number.

101332020311223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101332020311223 is a deficient number, since it is larger than the sum of its proper divisors (44176684600137).

101332020311223 is a wasteful number, since it uses less digits than its factorization.

101332020311223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112799518.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101332020311223 its reverse (322113020233101), we get a palindrome (423445040544324).

The spelling of 101332020311223 in words is "one hundred one trillion, three hundred thirty-two billion, twenty million, three hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 13 39 23039 69117 299507 898521 112776463 338329389 1466094019 4398282057 2598256931057 7794770793171 33777340103741 101332020311223