Search a number
-
+
13330230131020 = 22511241837730013
BaseRepresentation
bin1100000111111010111110…
…1000011011100101001100
31202012100122122202022210211
43001332233220123211030
53221400302403143040
644203453450212204
72544035346402565
oct301765750334514
952170578668724
1013330230131020
11427a356432950
1215b35a3124064
1375905c755bca
14341287d9916c
15181b3ac7b8ea
hexc1fafa1b94c

13330230131020 has 96 divisors (see below), whose sum is σ = 30669742990656. Its totient is φ = 4826505830400.

The previous prime is 13330230131017. The next prime is 13330230131033. The reversal of 13330230131020 is 2013103203331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13330230130982 and 13330230131000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444133534 + ... + 444163546.

It is an arithmetic number, because the mean of its divisors is an integer number (319476489486).

Almost surely, 213330230131020 is an apocalyptic number.

13330230131020 is a gapful number since it is divisible by the number (10) 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 13330230131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334871495328).

13330230131020 is an abundant number, since it is smaller than the sum of its proper divisors (17339512859636).

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

13330230131020 is a wasteful number, since it uses less digits than its factorization.

13330230131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38651 (or 38649 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13330230131020 its reverse (2013103203331), we get a palindrome (15343333334351).

The spelling of 13330230131020 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 8377 10604 13255 16754 26510 30013 33508 41885 53020 60026 83770 92147 120052 150065 167540 184294 300130 330143 368588 460735 600260 660286 921470 1320572 1650715 1842940 2018857 3301430 4037714 6602860 7233133 8075428 10094285 14466266 20188570 22207427 28932532 36165665 40377140 44414854 72331330 79564463 88829708 111037135 144662660 159128926 222074270 251418901 318257852 397822315 444148540 502837802 795644630 1005675604 1257094505 1591289260 2514189010 2765607911 5028378020 5531215822 11062431644 13828039555 27656079110 55312158220 60591955141 121183910282 242367820564 302959775705 605919551410 666511506551 1211839102820 1333023013102 2666046026204 3332557532755 6665115065510 13330230131020