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1320403141 = 173268757
BaseRepresentation
bin100111010110011…
…1100000011000101
310102000120102121001
41032230330003011
510201010400031
6335004453301
744502145561
oct11654740305
93360512531
101320403141
11618373472
1230a24a231
1318072ca45
14c75126a1
157adc0861
hex4eb3c0c5

1320403141 has 8 divisors (see below), whose sum is σ = 1402916760. Its totient is φ = 1242727744.

The previous prime is 1320403129. The next prime is 1320403153. The reversal of 1320403141 is 1413040231.

It is an interprime number because it is at equal distance from previous prime (1320403129) and next prime (1320403153).

It can be written as a sum of positive squares in 4 ways, for example, as 6630625 + 1313772516 = 2575^2 + 36246^2 .

It is not a de Polignac number, because 1320403141 - 25 = 1320403109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320403111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129466 + ... + 139291.

It is an arithmetic number, because the mean of its divisors is an integer number (175364595).

Almost surely, 21320403141 is an apocalyptic number.

It is an amenable number.

1320403141 is a deficient number, since it is larger than the sum of its proper divisors (82513619).

1320403141 is an frugal number, since it uses more digits than its factorization.

1320403141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268808 (or 268774 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1320403141 is about 36337.3518710431. The cubic root of 1320403141 is about 1097.0729733822.

Adding to 1320403141 its reverse (1413040231), we get a palindrome (2733443372).

The spelling of 1320403141 in words is "one billion, three hundred twenty million, four hundred three thousand, one hundred forty-one".

Divisors: 1 17 289 4913 268757 4568869 77670773 1320403141