Search a number
-
+
1333013313114 = 232768219155081
BaseRepresentation
bin10011011001011101110…
…010001111011001011010
311201102201222201112002200
4103121131302033121122
5133320002402004424
62500213341311030
7165210212131560
oct23313562173132
94642658645080
101333013313114
11474367299a3a
1219641b565476
1398919855642
1448737ca3a30
1524a1c3728c9
hex1365dc8f65a

1333013313114 has 48 divisors (see below), whose sum is σ = 3300864540480. Its totient is φ = 380852907840.

The previous prime is 1333013313031. The next prime is 1333013313119. The reversal of 1333013313114 is 4113133103331.

1333013313114 is a `hidden beast` number, since 1 + 3 + 330 + 1 + 3 + 313 + 1 + 14 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1333013313119) 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, 8518054 + ... + 8673134.

It is an arithmetic number, because the mean of its divisors is an integer number (68768011260).

Almost surely, 21333013313114 is an apocalyptic number.

1333013313114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1333013313114 is an abundant number, since it is smaller than the sum of its proper divisors (1967851227366).

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

1333013313114 is a wasteful number, since it uses less digits than its factorization.

1333013313114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223315 (or 223312 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 1333013313114 its reverse (4113133103331), we get a palindrome (5446146416445).

The spelling of 1333013313114 in words is "one trillion, three hundred thirty-three billion, thirteen million, three hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 68219 136438 155081 204657 310162 409314 465243 477533 613971 930486 955066 1085567 1227942 1395729 1432599 2171134 2791458 2865198 3256701 4297797 6513402 8595594 9770103 19540206 10579470739 21158941478 31738412217 63476824434 74056295173 95215236651 148112590346 190430473302 222168885519 444337771038 666506656557 1333013313114