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1313204112 = 2432114092027
BaseRepresentation
bin100111001000101…
…1110011110010000
310101112000200101100
41032101132132100
510142140012422
6334150304400
744354023263
oct11621363620
93345020340
101313204112
116142a6760
12307958100
1317c0ac06c
14c659acda
157a44c7ac
hex4e45e790

1313204112 has 120 divisors (see below), whose sum is σ = 4021037280. Its totient is φ = 396771840.

The previous prime is 1313204099. The next prime is 1313204119. The reversal of 1313204112 is 2114023131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313204119) 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, 646843 + ... + 648869.

It is an arithmetic number, because the mean of its divisors is an integer number (33508644).

Almost surely, 21313204112 is an apocalyptic number.

1313204112 is a gapful number since it is divisible by the number (12) 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 1313204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010518640).

1313204112 is an abundant number, since it is smaller than the sum of its proper divisors (2707833168).

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

1313204112 is a wasteful number, since it uses less digits than its factorization.

1313204112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313204112 is about 36238.1582313450. The cubic root of 1313204112 is about 1095.0755386682.

Adding to 1313204112 its reverse (2114023131), we get a palindrome (3427227243).

It can be divided in two parts, 1313204 and 112, that added together give a square (1313316 = 11462).

The spelling of 1313204112 in words is "one billion, three hundred thirteen million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 409 528 792 818 1227 1584 1636 2027 2454 3272 3681 4054 4499 4908 6081 6544 7362 8108 8998 9816 12162 13497 14724 16216 17996 18243 19632 22297 24324 26994 29448 32432 35992 36486 40491 44594 48648 53988 58896 66891 71984 72972 80982 89188 97296 107976 133782 145944 161964 178376 200673 215952 267564 291888 323928 356752 401346 535128 647856 802692 829043 1070256 1605384 1658086 2487129 3210768 3316172 4974258 6632344 7461387 9119473 9948516 13264688 14922774 18238946 19897032 27358419 29845548 36477892 39794064 54716838 59691096 72955784 82075257 109433676 119382192 145911568 164150514 218867352 328301028 437734704 656602056 1313204112