Search a number
-
+
3313322311020 = 22352292377101449
BaseRepresentation
bin110000001101110001011…
…001100011110101101100
3102201202021010110211020220
4300031301121203311230
5413241141002423040
611014041432011340
7461244133646361
oct60156131436554
912652233424226
103313322311020
111068199080477
12456188b30b50
131b05a2740587
14b6519504468
155b2c17be2d0
hex30371663d6c

3313322311020 has 96 divisors (see below), whose sum is σ = 9321826584000. Its totient is φ = 879315554304.

The previous prime is 3313322311003. The next prime is 3313322311027. The reversal of 3313322311020 is 201132233133.

3313322311020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33133223110202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3313322311027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32609256 + ... + 32710704.

It is an arithmetic number, because the mean of its divisors is an integer number (97102360250).

Almost surely, 23313322311020 is an apocalyptic number.

3313322311020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3313322311020 is an abundant number, since it is smaller than the sum of its proper divisors (6008504272980).

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

3313322311020 is a wasteful number, since it uses less digits than its factorization.

3313322311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104067 (or 104065 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3313322311020 its reverse (201132233133), we get a palindrome (3514454544153).

The spelling of 3313322311020 in words is "three trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1145 1374 2290 2377 2748 3435 4580 4754 6870 7131 9508 11885 13740 14262 23770 28524 35655 47540 71310 101449 142620 202898 304347 405796 507245 544333 608694 1014490 1088666 1217388 1521735 1632999 2028980 2177332 2721665 3043470 3265998 5443330 6086940 6531996 8164995 10886660 16329990 23231821 32659980 46463642 69695463 92927284 116159105 139390926 232318210 241144273 278781852 348477315 464636420 482288546 696954630 723432819 964577092 1205721365 1393909260 1446865638 2411442730 2893731276 3617164095 4822885460 7234328190 14468656380 55222038517 110444077034 165666115551 220888154068 276110192585 331332231102 552220385170 662664462204 828330577755 1104440770340 1656661155510 3313322311020