Search a number
-
+
3310103220012 = 2234193851139627
BaseRepresentation
bin110000001010110001100…
…001101100111100101100
3102201102221210012001120000
4300022301201230330230
5413213042411020022
611012350155424300
7461101305064401
oct60126141547454
912642853161500
103310103220012
111066896a78786
1245562aa55090
131b01ab8492b4
14b62d1b8a2a8
155b183d9e6ac
hex302b186cf2c

3310103220012 has 120 divisors (see below), whose sum is σ = 9111129128640. Its totient is φ = 1045016834400.

The previous prime is 3310103219999. The next prime is 3310103220049. The reversal of 3310103220012 is 2100223010133.

3310103220012 is a `hidden beast` number, since 331 + 0 + 1 + 0 + 322 + 0 + 0 + 12 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 23636943 + ... + 23776569.

It is an arithmetic number, because the mean of its divisors is an integer number (75926076072).

Almost surely, 23310103220012 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 3310103220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555564564320).

3310103220012 is an abundant number, since it is smaller than the sum of its proper divisors (5801025908628).

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

3310103220012 is a wasteful number, since it uses less digits than its factorization.

3310103220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143513 (or 143502 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3310103220012 its reverse (2100223010133), we get a palindrome (5410326230145).

The spelling of 3310103220012 in words is "three trillion, three hundred ten billion, one hundred three million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 3851 6156 7702 11553 15404 23106 34659 46212 69318 73169 103977 138636 139627 146338 207954 219507 279254 292676 311931 415908 418881 439014 558508 623862 658521 837762 878028 1247724 1256643 1317042 1675524 1975563 2513286 2634084 2652913 3769929 3951126 5026572 5305826 5926689 7539858 7902252 7958739 10611652 11309787 11853378 15079716 15917478 22619574 23706756 23876217 31834956 45239148 47752434 71628651 95504868 143257302 214885953 286514604 429771906 537703577 859543812 1075407154 1613110731 2150814308 3226221462 4839332193 6452442924 9678664386 10216367963 14517996579 19357328772 20432735926 29035993158 30649103889 40865471852 43553989737 58071986316 61298207778 87107979474 91947311667 122596415556 174215958948 183894623334 275841935001 367789246668 551683870002 827525805003 1103367740004 1655051610006 3310103220012