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13312211112 = 2333359171673
BaseRepresentation
bin11000110010111100…
…00011100010101000
31021100202021101121000
430121132003202220
5204230411223422
610040542515000
7650613633054
oct143136034250
937322241530
1013312211112
11571143a272
1226b6295a60
131341c868c5
14903ddac64
1552da73cac
hex3197838a8

13312211112 has 64 divisors (see below), whose sum is σ = 37081584000. Its totient is φ = 4425017472.

The previous prime is 13312211111. The next prime is 13312211119. The reversal of 13312211112 is 21111221331.

13312211112 is a `hidden beast` number, since 1 + 331 + 221 + 1 + 112 = 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13312211111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8293 + ... + 163380.

It is an arithmetic number, because the mean of its divisors is an integer number (579399750).

Almost surely, 213312211112 is an apocalyptic number.

13312211112 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 13312211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540792000).

13312211112 is an abundant number, since it is smaller than the sum of its proper divisors (23769372888).

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

13312211112 is a wasteful number, since it uses less digits than its factorization.

13312211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172047 (or 172037 counting only the distinct ones).

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

Adding to 13312211112 its reverse (21111221331), we get a palindrome (34423432443).

The spelling of 13312211112 in words is "thirteen billion, three hundred twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 19386 25848 38772 77544 171673 343346 515019 686692 1030038 1373384 1545057 2060076 3090114 4120152 4635171 6180228 9270342 12360456 18540684 37081368 61630607 123261214 184891821 246522428 369783642 493044856 554675463 739567284 1109350926 1479134568 1664026389 2218701852 3328052778 4437403704 6656105556 13312211112