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112232012013 = 321143163161743
BaseRepresentation
bin110100010000110001…
…1001001100011101101
3101201200122022221020200
41220201203021203231
53314322343341023
6123320401304113
711052133235052
oct1504143114355
9351618287220
10112232012013
1143663054840
1219902335039
13a777a59284
1456097d5029
152dbd039743
hex1a218c98ed

112232012013 has 48 divisors (see below), whose sum is σ = 182074573824. Its totient is φ = 66029554080.

The previous prime is 112232011967. The next prime is 112232012017. The reversal of 112232012013 is 310210232211.

It is not a de Polignac number, because 112232012013 - 26 = 112232011949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112232012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613020 + ... + 774762.

It is an arithmetic number, because the mean of its divisors is an integer number (3793220288).

Almost surely, 2112232012013 is an apocalyptic number.

It is an amenable number.

112232012013 is a deficient number, since it is larger than the sum of its proper divisors (69842561811).

112232012013 is a wasteful number, since it uses less digits than its factorization.

112232012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161966 (or 161963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112232012013 its reverse (310210232211), we get a palindrome (422442244224).

The spelling of 112232012013 in words is "one hundred twelve billion, two hundred thirty-two million, twelve thousand, thirteen".

Divisors: 1 3 9 11 33 43 99 129 163 387 473 489 1419 1467 1793 4257 5379 7009 16137 21027 63081 77099 161743 231297 485229 693891 1455687 1779173 5337519 6954949 16012557 20864847 26364109 62594541 76504439 79092327 229513317 237276981 290005199 688539951 870015597 1133656687 2610046791 3400970061 10202910183 12470223557 37410670671 112232012013