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1311300333120 = 26355876833407
BaseRepresentation
bin10011000101001111100…
…101110010111001000000
311122100200202220212001110
4103011033211302321000
5132441020341124440
62442223021003320
7163511146632111
oct23051745627100
94570622825043
101311300333120
11466134941778
1219217b9b3540
139686930839b
14476782b8208
152419b03c080
hex1314f972e40

1311300333120 has 224 divisors, whose sum is σ = 4177803184128. Its totient is φ = 348470966272.

The previous prime is 1311300333041. The next prime is 1311300333131. The reversal of 1311300333120 is 213330031131.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 384882457 + ... + 384885863.

It is an arithmetic number, because the mean of its divisors is an integer number (18650907072).

Almost surely, 21311300333120 is an apocalyptic number.

1311300333120 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 1311300333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088901592064).

1311300333120 is an abundant number, since it is smaller than the sum of its proper divisors (2866502851008).

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

1311300333120 is a wasteful number, since it uses less digits than its factorization.

1311300333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1311300333120 its reverse (213330031131), we get a palindrome (1524630364251).

The spelling of 1311300333120 in words is "one trillion, three hundred eleven billion, three hundred million, three hundred thirty-three thousand, one hundred twenty".