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1320323121 = 3213531491429
BaseRepresentation
bin100111010110010…
…1000100000110001
310102000102100211100
41032230220200301
510201000314441
6335003035013
744501363355
oct11654504061
93360370740
101320323121
11618319337
1230a20ba69
131807024b0
14c74d1465
157ada6cb6
hex4eb28831

1320323121 has 48 divisors (see below), whose sum is σ = 2108106000. Its totient is φ = 791271936.

The previous prime is 1320323023. The next prime is 1320323141. The reversal of 1320323121 is 1213230231.

1320323121 is a `hidden beast` number, since 1 + 320 + 32 + 312 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 372914721 + 947408400 = 19311^2 + 30780^2 .

It is not a de Polignac number, because 1320323121 - 29 = 1320322609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320323094 and 1320323103.

It is not an unprimeable number, because it can be changed into a prime (1320323141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923235 + ... + 924663.

It is an arithmetic number, because the mean of its divisors is an integer number (43918875).

Almost surely, 21320323121 is an apocalyptic number.

It is an amenable number.

1320323121 is a deficient number, since it is larger than the sum of its proper divisors (787782879).

1320323121 is a wasteful number, since it uses less digits than its factorization.

1320323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1320323121 is about 36336.2507834807. The cubic root of 1320323121 is about 1097.0508110718.

Adding to 1320323121 its reverse (1213230231), we get a palindrome (2533553352).

The spelling of 1320323121 in words is "one billion, three hundred twenty million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 53 117 149 159 447 477 689 1341 1429 1937 2067 4287 5811 6201 7897 12861 17433 18577 23691 55731 71073 75737 102661 167193 212921 227211 307983 638763 681633 923949 984581 1916289 2767973 2953743 8303919 8861229 11284813 24911757 33854439 101563317 146702569 440107707 1320323121