Search a number
-
+
13223422432231 = 112238357246979
BaseRepresentation
bin1100000001101101000101…
…1001011001001111100111
31201211010222001020001102221
43000123101121121033213
53213123032120312411
644042431214413211
72533234510056004
oct300332131311747
951733861201387
1013223422432231
114239027257a00
121596955501207
1374bc6a73053b
1433a034b588ab
1517de89061071
hexc06d16593e7

13223422432231 has 24 divisors (see below), whose sum is σ = 15349518253440. Its totient is φ = 11360090314320.

The previous prime is 13223422432229. The next prime is 13223422432247.

It is a happy number.

13223422432231 is nontrivially palindromic in base 10.

13223422432231 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 13223422432231 - 21 = 13223422432229 is a prime.

It is a super-2 number, since 2×132234224322312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223422439231) 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, 28392501 + ... + 28854478.

It is an arithmetic number, because the mean of its divisors is an integer number (639563260560).

Almost surely, 213223422432231 is an apocalyptic number.

13223422432231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13223422432231 is a deficient number, since it is larger than the sum of its proper divisors (2126095821209).

13223422432231 is a wasteful number, since it uses less digits than its factorization.

13223422432231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57247107 (or 57247096 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 1322342 and 2432231, that added together give a palindrome (3754573).

The spelling of 13223422432231 in words is "thirteen trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 23 83 121 253 913 1909 2783 10043 20999 230989 57246979 629716769 1316680517 4751499257 6926884459 14483485687 52266491827 109284482911 159318342557 574931410097 1202129312021 13223422432231