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11311312212 = 2232521603077
BaseRepresentation
bin10101000100011010…
…01110110101010100
31002012022020012022100
422202031032311110
5141131143442322
65110224402100
7550206365424
oct124215166524
932168205270
1011311312212
114884a39312
122238176330
1310b3586365
1479438a484
15463084dac
hex2a234ed54

11311312212 has 36 divisors (see below), whose sum is σ = 28647411156. Its totient is φ = 3763194240.

The previous prime is 11311312141. The next prime is 11311312213. The reversal of 11311312212 is 21221311311.

It can be written as a sum of positive squares in 2 ways, for example, as 2408257476 + 8903054736 = 49074^2 + 94356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311312213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282783 + ... + 320294.

It is an arithmetic number, because the mean of its divisors is an integer number (795761421).

Almost surely, 211311312212 is an apocalyptic number.

11311312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311312212 is an abundant number, since it is smaller than the sum of its proper divisors (17336098944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11311312212 is a wasteful number, since it uses less digits than its factorization.

11311312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603608 (or 603603 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11311312212 its reverse (21221311311), we get a palindrome (32532623523).

Subtracting 11311312212 from its reverse (21221311311), we obtain a palindrome (9909999099).

The spelling of 11311312212 in words is "eleven billion, three hundred eleven million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 603077 1206154 1809231 2412308 3618462 5427693 7236924 10855386 21710772 314203117 628406234 942609351 1256812468 1885218702 2827828053 3770437404 5655656106 11311312212