Search a number
-
+
12302320101331 = 132199534020257
BaseRepresentation
bin1011001100000101101101…
…1010110110011111010011
31121120002102211200111020111
42303001123122312133103
53103030122421220311
642055335143022151
72406545650326601
oct263013332663723
947502384614214
1012302320101331
113a13425a81617
12146833213a957
136b31470b0c00
14307614d02871
15165029121d21
hexb305b6b67d3

12302320101331 has 24 divisors (see below), whose sum is σ = 14037293643120. Its totient is φ = 10747012663296.

The previous prime is 12302320101329. The next prime is 12302320101349. The reversal of 12302320101331 is 13310102320321.

It is not a de Polignac number, because 12302320101331 - 21 = 12302320101329 is a prime.

It is a super-2 number, since 2×123023201013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12302320101391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049955 + ... + 5070211.

It is an arithmetic number, because the mean of its divisors is an integer number (584887235130).

Almost surely, 212302320101331 is an apocalyptic number.

12302320101331 is a deficient number, since it is larger than the sum of its proper divisors (1734973541789).

12302320101331 is a wasteful number, since it uses less digits than its factorization.

12302320101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021255 (or 4021242 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12302320101331 its reverse (13310102320321), we get a palindrome (25612422421652).

The spelling of 12302320101331 in words is "twelve trillion, three hundred two billion, three hundred twenty million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 13 19 169 247 953 3211 12389 18107 161057 235391 3060083 4020257 52263341 76384883 679423433 993003479 3831304921 12909045227 49806963973 72794793499 647490531649 946332315487 12302320101331