Search a number
-
+
7000113312 = 25344675783
BaseRepresentation
bin1101000010011110…
…10100000010100000
3200001211221121020000
412201033110002200
5103314012111222
63114340420000
7335316660423
oct64117240240
920054847200
107000113312
112a72421815
1214343a7600
138773456aa
144a59899ba
152ae83c9ac
hex1a13d40a0

7000113312 has 120 divisors (see below), whose sum is σ = 20634790176. Its totient is φ = 2327971968.

The previous prime is 7000113283. The next prime is 7000113331. The reversal of 7000113312 is 2133110007.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1207573 + ... + 1213355.

Almost surely, 27000113312 is an apocalyptic number.

7000113312 is a gapful number since it is divisible by the number (72) 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 7000113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317395088).

7000113312 is an abundant number, since it is smaller than the sum of its proper divisors (13634676864).

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

7000113312 is a wasteful number, since it uses less digits than its factorization.

7000113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7000113312 is about 83666.6798193881. The cubic root of 7000113312 is about 1912.9415045290.

Adding to 7000113312 its reverse (2133110007), we get a palindrome (9133223319).

The spelling of 7000113312 in words is "seven billion, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 467 648 864 934 1296 1401 1868 2592 2802 3736 4203 5604 5783 7472 8406 11208 11566 12609 14944 16812 17349 22416 23132 25218 33624 34698 37827 44832 46264 50436 52047 67248 69396 75654 92528 100872 104094 134496 138792 151308 156141 185056 201744 208188 277584 302616 312282 403488 416376 468423 555168 605232 624564 832752 936846 1210464 1249128 1665504 1873692 2498256 2700661 3747384 4996512 5401322 7494768 8101983 10802644 14989536 16203966 21605288 24305949 32407932 43210576 48611898 64815864 72917847 86421152 97223796 129631728 145835694 194447592 218753541 259263456 291671388 388895184 437507082 583342776 777790368 875014164 1166685552 1750028328 2333371104 3500056656 7000113312