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1333312111312 = 2419113136728393
BaseRepresentation
bin10011011001101111100…
…110000100001011010000
311201110111210222001011121
4103121233212010023100
5133321110400030222
62500303133452024
7165220500644416
oct23315746041320
94643453861147
101333312111312
114744aaa224a5
121964a3641014
13989667223cc
14487658432b6
1524a386e55c7
hex1366f9842d0

1333312111312 has 80 divisors (see below), whose sum is σ = 2745422674560. Its totient is φ = 625499836416.

The previous prime is 1333312111309. The next prime is 1333312111319. The reversal of 1333312111312 is 2131112133331.

It is a super-2 number, since 2×13333121113122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333312111319) 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, 46944988 + ... + 46973380.

It is an arithmetic number, because the mean of its divisors is an integer number (34317783432).

Almost surely, 21333312111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333312111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372711337280).

1333312111312 is an abundant number, since it is smaller than the sum of its proper divisors (1412110563248).

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

1333312111312 is a wasteful number, since it uses less digits than its factorization.

1333312111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29900 (or 29894 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

Adding to 1333312111312 its reverse (2131112133331), we get a palindrome (3464424244643).

The spelling of 1333312111312 in words is "one trillion, three hundred thirty-three billion, three hundred twelve million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1367 1808 2147 2734 4294 5468 8588 10936 17176 21872 25973 28393 34352 51946 56786 103892 113572 154471 207784 227144 308942 415568 454288 539467 617884 1078934 1235768 2157868 2471536 2934949 3208409 4315736 5869898 6416818 8631472 11739796 12833636 23479592 25667272 38813231 46959184 51334544 60959771 77626462 121919542 155252924 243839084 310505848 487678168 621011696 737451389 975356336 1474902778 2949805556 4385895103 5899611112 8771790206 11799222224 17543580412 35087160824 70174321648 83332006957 166664013914 333328027828 666656055656 1333312111312