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1320320331 = 371171773
BaseRepresentation
bin100111010110010…
…0111110101001011
310102000102020000000
41032230213311023
510201000222311
6335003014043
744501352261
oct11654476513
93360366000
101320320331
11618317230
1230a20a323
13180701145
14c74d0431
157ada6056
hex4eb27d4b

1320320331 has 64 divisors (see below), whose sum is σ = 2193454080. Its totient is φ = 787903200.

The previous prime is 1320320329. The next prime is 1320320347. The reversal of 1320320331 is 1330230231.

1320320331 = T6063 + T6064 + ... + T6133.

1320320331 is a `hidden beast` number, since 13 + 2 + 0 + 320 + 331 = 666.

It is not a de Polignac number, because 1320320331 - 21 = 1320320329 is a prime.

It is a super-2 number, since 2×13203203312 = 3486491552903899122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1320327331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1707661 + ... + 1708433.

It is an arithmetic number, because the mean of its divisors is an integer number (34272720).

Almost surely, 21320320331 is an apocalyptic number.

1320320331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320320331 is a deficient number, since it is larger than the sum of its proper divisors (873133749).

1320320331 is an frugal number, since it uses more digits than its factorization.

1320320331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320320331 is about 36336.2123920477. The cubic root of 1320320331 is about 1097.0500383382.

Adding to 1320320331 its reverse (1330230231), we get a palindrome (2650550562).

The spelling of 1320320331 in words is "one billion, three hundred twenty million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 71 81 99 213 243 297 639 729 773 781 891 1917 2187 2319 2343 2673 5751 6957 7029 8019 8503 17253 20871 21087 24057 25509 51759 54883 62613 63261 76527 155277 164649 187839 189783 229581 493947 563517 569349 603713 688743 1481841 1690551 1708047 1811139 2066229 4445523 5433417 6198687 13336569 16300251 18596061 40009707 48900753 120029121 146702259 440106777 1320320331