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13232222223231 = 3112960722778869
BaseRepresentation
bin1100000010001101110111…
…1001111011101101111111
31201211222200022120202100010
43000203131321323231333
53213244042342120411
644050444324434303
72533665542052234
oct300433571735577
951758608522303
1013232222223231
114241832533150
1215985b0548993
1374ca4088236b
1433a62b73578b
1517e3018917a6
hexc08dde7bb7f

13232222223231 has 32 divisors (see below), whose sum is σ = 19943356262400. Its totient is φ = 7730236644480.

The previous prime is 13232222223221. The next prime is 13232222223247.

It is a happy number.

13232222223231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13232222223231 - 29 = 13232222222719 is a prime.

It is a super-2 number, since 2×132322222232312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232222223211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10808536 + ... + 11970333.

It is an arithmetic number, because the mean of its divisors is an integer number (623229883200).

Almost surely, 213232222223231 is an apocalyptic number.

13232222223231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13232222223231 is a deficient number, since it is larger than the sum of its proper divisors (6711134039169).

13232222223231 is a wasteful number, since it uses less digits than its factorization.

13232222223231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22779519.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 1323222 and 2223231, that added together give a palindrome (3546453).

The spelling of 13232222223231 in words is "thirteen trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 607 957 1821 6677 17603 20031 52809 193633 580899 22778869 68336607 250567559 660587201 751702677 1981761603 7266459211 13826773483 21799377633 41480320449 152094508313 400976431007 456283524939 1202929293021 4410740741077 13232222223231