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1331213112 = 2332191675827
BaseRepresentation
bin100111101011000…
…1011001100111000
310102202220122002100
41033112023030320
510211242304422
6340032303400
744663060535
oct11726131470
93382818070
101331213112
11623487129
123119a1b60
13182a46188
14c8b27d8c
157bd087ac
hex4f58b338

1331213112 has 96 divisors (see below), whose sum is σ = 3818505600. Its totient is φ = 417794112.

The previous prime is 1331213089. The next prime is 1331213153. The reversal of 1331213112 is 2113121331.

1331213112 is a `hidden beast` number, since 1 + 331 + 21 + 311 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225543 + ... + 231369.

It is an arithmetic number, because the mean of its divisors is an integer number (39776100).

Almost surely, 21331213112 is an apocalyptic number.

1331213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909252800).

1331213112 is an abundant number, since it is smaller than the sum of its proper divisors (2487292488).

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

1331213112 is a wasteful number, since it uses less digits than its factorization.

1331213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6018 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1331213112 is about 36485.7932899917. The cubic root of 1331213112 is about 1100.0587054069.

Adding to 1331213112 its reverse (2113121331), we get a palindrome (3444334443).

The spelling of 1331213112 in words is "one billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 167 171 228 334 342 456 501 668 684 1002 1336 1368 1503 2004 3006 3173 4008 5827 6012 6346 9519 11654 12024 12692 17481 19038 23308 25384 28557 34962 38076 46616 52443 57114 69924 76152 104886 110713 114228 139848 209772 221426 228456 332139 419544 442852 664278 885704 973109 996417 1328556 1946218 1992834 2657112 2919327 3892436 3985668 5838654 7784872 7971336 8757981 11677308 17515962 18489071 23354616 35031924 36978142 55467213 70063848 73956284 110934426 147912568 166401639 221868852 332803278 443737704 665606556 1331213112