Search a number
-
+
1013312343208 = 2311176727736497
BaseRepresentation
bin11101011111011100001…
…11110100110010101000
310120212112110221112021111
432233232013310302220
5113100230424440313
62053302000120104
7133131552542164
oct16575607646250
93525473845244
101013312343208
1136081a445430
12144478306034
137472a29a5b9
143708a479ca4
151b55a31443d
hexebee1f4ca8

1013312343208 has 128 divisors (see below), whose sum is σ = 2235464542080. Its totient is φ = 425479127040.

The previous prime is 1013312343187. The next prime is 1013312343209. The reversal of 1013312343208 is 8023432133101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013312343208.

It is not an unprimeable number, because it can be changed into a prime (1013312343209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27746016 + ... + 27782512.

It is an arithmetic number, because the mean of its divisors is an integer number (17464566735).

Almost surely, 21013312343208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013312343208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117732271040).

1013312343208 is an abundant number, since it is smaller than the sum of its proper divisors (1222152198872).

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

1013312343208 is a wasteful number, since it uses less digits than its factorization.

1013312343208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36875 (or 36871 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 1013312343208 its reverse (8023432133101), we get a palindrome (9036744476309).

The spelling of 1013312343208 in words is "one trillion, thirteen billion, three hundred twelve million, three hundred forty-three thousand, two hundred eight".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 134 136 187 268 277 374 536 554 737 748 1108 1139 1474 1496 2216 2278 2948 3047 4556 4709 5896 6094 9112 9418 12188 12529 18559 18836 24376 25058 36497 37118 37672 50116 51799 72994 74236 100232 103598 145988 148472 204149 207196 291976 315503 401467 408298 414392 620449 631006 802934 816596 1240898 1262012 1605868 1633192 2445299 2481796 2524024 3211736 3470533 4890598 4963592 6824939 6941066 9781196 10109669 13649878 13882132 19562392 20219338 26898289 27299756 27764264 40438676 41570083 53796578 54599512 80877352 83140166 107593156 111206359 166280332 171864373 215186312 222412718 332560664 343728746 444825436 457270913 677347823 687457492 889650872 914541826 1354695646 1374914984 1829083652 1890508103 2709391292 3658167304 3781016206 5418782584 7450826053 7562032412 11514912991 14901652106 15124064824 23029825982 29803304212 46059651964 59606608424 92119303928 126664042901 253328085802 506656171604 1013312343208