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1332311013 = 321167200861
BaseRepresentation
bin100111101101001…
…0111001111100101
310102211222102010100
41033122113033211
510212032423023
6340112014313
745005312445
oct11732271745
93384872110
101332311013
11624066a90
12312231399
1318303bb17
14c8d32125
157be73c43
hex4f6973e5

1332311013 has 24 divisors (see below), whose sum is σ = 2130744096. Its totient is φ = 795405600.

The previous prime is 1332310957. The next prime is 1332311023. The reversal of 1332311013 is 3101132331.

It is a happy number.

It is not a de Polignac number, because 1332311013 - 29 = 1332310501 is a prime.

It is a super-2 number, since 2×13323110132 = 3550105270722172338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332311023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93798 + ... + 107063.

It is an arithmetic number, because the mean of its divisors is an integer number (88781004).

Almost surely, 21332311013 is an apocalyptic number.

It is an amenable number.

1332311013 is a deficient number, since it is larger than the sum of its proper divisors (798433083).

1332311013 is a wasteful number, since it uses less digits than its factorization.

1332311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200945 (or 200942 counting only the distinct ones).

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

The square root of 1332311013 is about 36500.8357849516. The cubic root of 1332311013 is about 1100.3610420918.

Adding to 1332311013 its reverse (3101132331), we get a palindrome (4433443344).

It can be divided in two parts, 13323 and 11013, that added together give a square (24336 = 1562).

The spelling of 1332311013 in words is "one billion, three hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 3 9 11 33 67 99 201 603 737 2211 6633 200861 602583 1807749 2209471 6628413 13457687 19885239 40373061 121119183 148034557 444103671 1332311013