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1311221331030 = 235133362105977
BaseRepresentation
bin10011000101001010111…
…000011011010001010110
311122100111021021010120010
4103011022320123101112
5132440340130043110
62442211115421050
7163506200263242
oct23051270332126
94570437233503
101311221331030
114660a4292296
12192159454786
1396855b372a0
144766b9d1422
1524194134020
hex1314ae1b456

1311221331030 has 32 divisors (see below), whose sum is σ = 3389002825824. Its totient is φ = 322762173696.

The previous prime is 1311221331023. The next prime is 1311221331137. The reversal of 1311221331030 is 301331221131.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311221330988 and 1311221331006.

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 15 ways as a sum of consecutive naturals, for example, 1681052599 + ... + 1681053378.

It is an arithmetic number, because the mean of its divisors is an integer number (105906338307).

Almost surely, 21311221331030 is an apocalyptic number.

1311221331030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311221331030 is an abundant number, since it is smaller than the sum of its proper divisors (2077781494794).

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

1311221331030 is a wasteful number, since it uses less digits than its factorization.

1311221331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362106000.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1311221331030 its reverse (301331221131), we get a palindrome (1612552552161).

The spelling of 1311221331030 in words is "one trillion, three hundred eleven billion, two hundred twenty-one million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3362105977 6724211954 10086317931 16810529885 20172635862 33621059770 43707377701 50431589655 87414755402 100863179310 131122133103 218536888505 262244266206 437073777010 655610665515 1311221331030