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1332311101220 = 22511347110915737
BaseRepresentation
bin10011011000110011111…
…011100000111100100100
311201100221001101110110202
4103120303323200330210
5133312033120214340
62500015534410032
7165153624335561
oct23306373407444
94640831343422
101332311101220
11474036979830
12196264360918
1398837220548
14486ac911868
15249ca8b4c15
hex13633ee0f24

1332311101220 has 96 divisors (see below), whose sum is σ = 3063954418560. Its totient is φ = 482614307840.

The previous prime is 1332311101183. The next prime is 1332311101223. The reversal of 1332311101220 is 221011132331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1332311101192 and 1332311101201.

It is not an unprimeable number, because it can be changed into a prime (1332311101223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84653192 + ... + 84668928.

It is an arithmetic number, because the mean of its divisors is an integer number (31916191860).

Almost surely, 21332311101220 is an apocalyptic number.

1332311101220 is a gapful number since it is divisible by the number (10) 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 1332311101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531977209280).

1332311101220 is an abundant number, since it is smaller than the sum of its proper divisors (1731643317340).

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

1332311101220 is a wasteful number, since it uses less digits than its factorization.

1332311101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1332311101220 its reverse (221011132331), we get a palindrome (1553322233551).

The spelling of 1332311101220 in words is "one trillion, three hundred thirty-two billion, three hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1109 1388 1735 2218 3470 3817 4436 5545 6940 7634 11090 12199 15268 15737 19085 22180 24398 31474 38170 48796 60995 62948 76340 78685 121990 157370 173107 243980 314740 346214 384823 692428 769646 865535 1539292 1731070 1924115 3462140 3848230 4233053 5460739 7696460 8466106 10921478 16932212 17452333 21165265 21842956 27303695 34904666 42330530 54607390 60068129 69809332 84661060 87261665 109214780 120136258 174523330 191975663 240272516 300340645 349046660 383951326 600681290 767902652 959878315 1201362580 1919756630 3839513260 6055959551 12111919102 24223838204 30279797755 60559595510 66615555061 121119191020 133231110122 266462220244 333077775305 666155550610 1332311101220