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1329730901 = 23237411657
BaseRepresentation
bin100111101000010…
…0001010101010101
310102200010022212122
41033100201111111
510210402342101
6335540425325
744644345322
oct11720412525
93380108778
101329730901
11622664564
123113a8245
13182647625
14c885db49
157bb1451b
hex4f421555

1329730901 has 24 divisors (see below), whose sum is σ = 1463330904. Its totient is φ = 1206627840.

The previous prime is 1329730873. The next prime is 1329730931. The reversal of 1329730901 is 1090379231.

It can be written as a sum of positive squares in 4 ways, for example, as 78411025 + 1251319876 = 8855^2 + 35374^2 .

It is a de Polignac number, because none of the positive numbers 2k-1329730901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329730931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801665 + ... + 803321.

It is an arithmetic number, because the mean of its divisors is an integer number (60972121).

Almost surely, 21329730901 is an apocalyptic number.

It is an amenable number.

1329730901 is a deficient number, since it is larger than the sum of its proper divisors (133600003).

1329730901 is a wasteful number, since it uses less digits than its factorization.

1329730901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 1329730901 is about 36465.4754665286. The cubic root of 1329730901 is about 1099.6502747733.

The spelling of 1329730901 in words is "one billion, three hundred twenty-nine million, seven hundred thirty thousand, nine hundred one".

Divisors: 1 23 37 41 529 851 943 1517 1657 19573 21689 34891 38111 61309 67937 802493 876553 1410107 1562551 2513669 32432461 35938673 57814387 1329730901