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1331014201011 = 321159227874371
BaseRepresentation
bin10011010111100110101…
…000001110111010110011
311201020120200001002211200
4103113212220032322303
5133301404113413021
62455243125342243
7165106526015445
oct23274650167263
94636520032750
101331014201011
114735308a9480
12195b61b67983
139868b62c481
14485c859a495
1524951ad8126
hex135e6a0eeb3

1331014201011 has 24 divisors (see below), whose sum is σ = 2132904121920. Its totient is φ = 793002807600.

The previous prime is 1331014200931. The next prime is 1331014201061. The reversal of 1331014201011 is 1101024101331.

It is a happy number.

1331014201011 is a `hidden beast` number, since 133 + 10 + 1 + 420 + 101 + 1 = 666.

It is not a de Polignac number, because 1331014201011 - 210 = 1331014199987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331014201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113931345 + ... + 113943026.

It is an arithmetic number, because the mean of its divisors is an integer number (88871005080).

Almost surely, 21331014201011 is an apocalyptic number.

1331014201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331014201011 is a deficient number, since it is larger than the sum of its proper divisors (801889920909).

1331014201011 is a wasteful number, since it uses less digits than its factorization.

1331014201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227874447 (or 227874444 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1331014201011 its reverse (1101024101331), we get a palindrome (2432038302342).

The spelling of 1331014201011 in words is "one trillion, three hundred thirty-one billion, fourteen million, two hundred one thousand, eleven".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 227874371 683623113 2050869339 2506618081 7519854243 13444587889 22559562729 40333763667 121001291001 147890466779 443671400337 1331014201011