Search a number
-
+
13011002331210 = 235513411870919
BaseRepresentation
bin1011110101010101110000…
…1011000001000001001010
31201001211200010022212100000
42331111130023001001022
53201133013044044320
643401101050423430
72512004524023642
oct275253413010112
951054603285300
1013011002331210
114166a31690004
121561752431b76
13734c1721ab80
1432da43341522
151786a5536c90
hexbd55c2c104a

13011002331210 has 96 divisors (see below), whose sum is σ = 37780095749760. Its totient is φ = 3202708258368.

The previous prime is 13011002331203. The next prime is 13011002331211. The reversal of 13011002331210 is 1213320011031.

13011002331210 is a `hidden beast` number, since 1 + 301 + 10 + 0 + 2 + 331 + 21 + 0 = 666.

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 (13011002331211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205903870 + ... + 205967049.

It is an arithmetic number, because the mean of its divisors is an integer number (393542664060).

Almost surely, 213011002331210 is an apocalyptic number.

13011002331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13011002331210 is an abundant number, since it is smaller than the sum of its proper divisors (24769093418550).

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

13011002331210 is a wasteful number, since it uses less digits than its factorization.

13011002331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411870954 (or 411870942 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13011002331210 its reverse (1213320011031), we get a palindrome (14224322342241).

The spelling of 13011002331210 in words is "thirteen trillion, eleven billion, two million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 15795 31590 411870919 823741838 1235612757 2059354595 2471225514 3706838271 4118709190 5354321947 6178063785 7413676542 10708643894 11120514813 12356127570 16062965841 18534191355 22241029626 26771609735 32125931682 33361544439 37068382710 48188897523 53543219470 55602574065 66723088878 80314829205 96377795046 100084633317 111205148130 144566692569 160629658410 166807722195 200169266634 240944487615 289133385138 333615444390 433700077707 481888975230 500423166585 722833462845 867400155414 1000846333170 1301100233121 1445666925690 2168500388535 2602200466242 4337000777070 6505501165605 13011002331210