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221231012013 = 32117093151843
BaseRepresentation
bin1100111000001001100…
…1010101100010101101
3210011000222011211202200
43032002121111202231
512111040114341023
6245344312212113
721661211401134
oct3160231254255
9704028154680
10221231012013
1185907158820
1236a6199a039
1317b28a58a8b
14a9c9a8a91b
155b4c304743
hex33826558ad

221231012013 has 24 divisors (see below), whose sum is σ = 349098241440. Its totient is φ = 133890248160.

The previous prime is 221231011919. The next prime is 221231012027. The reversal of 221231012013 is 310210132122.

221231012013 is a `hidden beast` number, since 221 + 2 + 310 + 120 + 13 = 666.

It is not a de Polignac number, because 221231012013 - 213 = 221231003821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221231012053) 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, 1505731 + ... + 1646112.

It is an arithmetic number, because the mean of its divisors is an integer number (14545760060).

Almost surely, 2221231012013 is an apocalyptic number.

It is an amenable number.

221231012013 is a deficient number, since it is larger than the sum of its proper divisors (127867229427).

221231012013 is a wasteful number, since it uses less digits than its factorization.

221231012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152569 (or 3152566 counting only the distinct ones).

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

Adding to 221231012013 its reverse (310210132122), we get a palindrome (531441144135).

The spelling of 221231012013 in words is "two hundred twenty-one billion, two hundred thirty-one million, twelve thousand, thirteen".

Divisors: 1 3 9 11 33 99 709 2127 6381 7799 23397 70191 3151843 9455529 28366587 34670273 104010819 312032457 2234656687 6703970061 20111910183 24581223557 73743670671 221231012013