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1311303021030 = 2325371633177621
BaseRepresentation
bin10011000101001111110…
…000000011000111100110
311122100200221222102011200
4103011033300003013212
5132441022033133110
62442223154343330
7163511211525432
oct23051760030746
94570627872150
101311303021030
11466136408192
1219218088ab46
1396869a39972
14476787b79c2
152419b3bd6c0
hex1314fc031e6

1311303021030 has 192 divisors, whose sum is σ = 3534592621248. Its totient is φ = 337031746560.

The previous prime is 1311303021029. The next prime is 1311303021079. The reversal of 1311303021030 is 301203031131.

It is a happy number.

1311303021030 is a `hidden beast` number, since 1 + 311 + 303 + 0 + 21 + 0 + 30 = 666.

It is a super-2 number, since 2×13113030210302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311303020994 and 1311303021012.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 172060620 + ... + 172068240.

It is an arithmetic number, because the mean of its divisors is an integer number (18409336569).

Almost surely, 21311303021030 is an apocalyptic number.

1311303021030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311303021030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767296310624).

1311303021030 is an abundant number, since it is smaller than the sum of its proper divisors (2223289600218).

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

1311303021030 is a wasteful number, since it uses less digits than its factorization.

1311303021030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1311303021030 its reverse (301203031131), we get a palindrome (1612506052161).

The spelling of 1311303021030 in words is "one trillion, three hundred eleven billion, three hundred three million, twenty-one thousand, thirty".