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1313302248 = 2338131191
BaseRepresentation
bin100111001000111…
…0110011011101000
310101112012200000000
41032101312123220
510142201132443
6334152343000
744354612346
oct11621663350
93345180000
101313302248
11614363465
123079a4a60
1317c11492b
14c65c4996
157a46b8d3
hex4e4766e8

1313302248 has 144 divisors (see below), whose sum is σ = 3741154560. Its totient is φ = 432151200.

The previous prime is 1313302229. The next prime is 1313302253. The reversal of 1313302248 is 8422033131.

1313302248 is a `hidden beast` number, since 1 + 313 + 302 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6875833 + ... + 6876023.

It is an arithmetic number, because the mean of its divisors is an integer number (25980240).

Almost surely, 21313302248 is an apocalyptic number.

1313302248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313302248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870577280).

1313302248 is an abundant number, since it is smaller than the sum of its proper divisors (2427852312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313302248 is an equidigital number, since it uses as much as digits as its factorization.

1313302248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1313302248 is about 36239.5122483733. The cubic root of 1313302248 is about 1095.1028163918.

Adding to 1313302248 its reverse (8422033131), we get a palindrome (9735335379).

The spelling of 1313302248 in words is "one billion, three hundred thirteen million, three hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 191 216 243 262 324 382 393 486 524 573 648 729 764 786 972 1048 1146 1179 1458 1528 1572 1719 1944 2187 2292 2358 2916 3144 3438 3537 4374 4584 4716 5157 5832 6561 6876 7074 8748 9432 10314 10611 13122 13752 14148 15471 17496 20628 21222 25021 26244 28296 30942 31833 41256 42444 46413 50042 52488 61884 63666 75063 84888 92826 95499 100084 123768 127332 139239 150126 185652 190998 200168 225189 254664 278478 286497 300252 371304 381996 417717 450378 556956 572994 600504 675567 763992 835434 859491 900756 1113912 1145988 1253151 1351134 1670868 1718982 1801512 2026701 2291976 2506302 2702268 3341736 3437964 4053402 5012604 5404536 6080103 6875928 8106804 10025208 12160206 16213608 18240309 24320412 36480618 48640824 54720927 72961236 109441854 145922472 164162781 218883708 328325562 437767416 656651124 1313302248