Search a number
-
+
12303200230321 = 7111343199728603
BaseRepresentation
bin1011001100001000111111…
…1000010001101110110001
31121120011201011210200020111
42303002033320101232301
53103033423224332241
642100002343141321
72406606525314410
oct263021770215661
947504634720214
1012303200230321
113a13837871550
121468538a44841
136b325753aab0
14307699b69477
1516507b525c81
hexb308fe11bb1

12303200230321 has 64 divisors (see below), whose sum is σ = 16574495809536. Its totient is φ = 8819758483200.

The previous prime is 12303200230283. The next prime is 12303200230339.

12303200230321 is nontrivially palindromic in base 10.

12303200230321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12303200230321 - 231 = 12301052746673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303200230292 and 12303200230301.

It is not an unprimeable number, because it can be changed into a prime (12303200230121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430122406 + ... + 430151008.

It is an arithmetic number, because the mean of its divisors is an integer number (258976497024).

Almost surely, 212303200230321 is an apocalyptic number.

12303200230321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12303200230321 is a deficient number, since it is larger than the sum of its proper divisors (4271295579215).

12303200230321 is a wasteful number, since it uses less digits than its factorization.

12303200230321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30062.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 12303200 and 230321, that added together give a palindrome (12533521).

The spelling of 12303200230321 in words is "twelve trillion, three hundred three billion, two hundred million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 431 997 1001 3017 4741 5603 6979 10967 12961 28603 33187 39221 61633 76769 90727 142571 200221 314633 371839 429707 431431 997997 2202431 2602873 3007949 4090229 4726777 5586191 12327893 28517191 28631603 33087439 39103337 61448101 86295251 135606823 160262609 199620337 313689101 370723483 430136707 949247761 1121838263 1762888699 2195823707 2595064381 4077958313 12290909321 12340220893 28545708191 86036365247 135200002531 159781821173 946400017717 1118472748211 1757600032903 12303200230321