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1332221132112 = 243132973619647
BaseRepresentation
bin10011011000101110100…
…100010011110101010000
311201100200210002120001120
4103120232210103311100
5133311342102211422
62500003002202240
7165151452532143
oct23305644236520
94640623076046
101332221132112
11473aa01096a2
1219623a1b3380
13988216ac6a0
14486a09b205a
15249c2a4245c
hex1362e913d50

1332221132112 has 80 divisors (see below), whose sum is σ = 3834111267840. Its totient is φ = 395779216896.

The previous prime is 1332221132111. The next prime is 1332221132149. The reversal of 1332221132112 is 2112311222331.

It is a super-3 number, since 3×13322211321123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (1332221132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36791728 + ... + 36827919.

It is an arithmetic number, because the mean of its divisors is an integer number (47926390848).

Almost surely, 21332221132112 is an apocalyptic number.

1332221132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332221132112 is an abundant number, since it is smaller than the sum of its proper divisors (2501890135728).

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

1332221132112 is a wasteful number, since it uses less digits than its factorization.

1332221132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73619700 (or 73619694 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1332221132112 its reverse (2112311222331), we get a palindrome (3444532354443).

The spelling of 1332221132112 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 73619647 147239294 220858941 294478588 441717882 588957176 883435764 957055411 1177914352 1766871528 1914110822 2134969763 2871166233 3533743056 3828221644 4269939526 5742332466 6404909289 7656443288 8539879052 11484664932 12809818578 15312886576 17079758104 22969329864 25619637156 27754606919 34159516208 45938659728 51239274312 55509213838 83263820757 102478548624 111018427676 166527641514 222036855352 333055283028 444073710704 666110566056 1332221132112