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1320202306060 = 2251121744971471
BaseRepresentation
bin10011001101100010001…
…100001000001000001100
311200012200011112221012221
4103031202030020020030
5133112233242243220
62450254221105124
7164244562306021
oct23154214101014
94605604487187
101320202306060
11469992869800
12193a450b81a4
1397657685bb1
1447c80693548
152451c8039aa
hex1336230820c

1320202306060 has 144 divisors (see below), whose sum is σ = 3233864995200. Its totient is φ = 450821324800.

The previous prime is 1320202306013. The next prime is 1320202306099. The reversal of 1320202306060 is 606032020231.

It is a happy number.

It is a super-2 number, since 2×13202023060602 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18436125 + ... + 18507595.

It is an arithmetic number, because the mean of its divisors is an integer number (22457395800).

Almost surely, 21320202306060 is an apocalyptic number.

1320202306060 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 1320202306060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616932497600).

1320202306060 is an abundant number, since it is smaller than the sum of its proper divisors (1913662689140).

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

1320202306060 is a wasteful number, since it uses less digits than its factorization.

1320202306060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71968 (or 71955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1320202306060 its reverse (606032020231), we get a palindrome (1926234326291).

The spelling of 1320202306060 in words is "one trillion, three hundred twenty billion, two hundred two million, three hundred six thousand, sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 449 484 605 748 898 935 1210 1796 1870 2057 2245 2420 3740 4114 4490 4939 7633 8228 8980 9878 10285 15266 19756 20570 24695 30532 38165 41140 49390 54329 71471 76330 83963 98780 108658 142942 152660 167926 217316 271645 285884 335852 357355 419815 543290 714710 786181 839630 923593 1086580 1215007 1429420 1572362 1679260 1847186 2430014 3144724 3694372 3930905 4617965 4860028 6075035 7861810 8647991 9235930 12150070 13365077 15723620 17295982 18471860 24300140 26730154 32090479 34591964 43239955 53460308 64180958 66825385 86479910 128361916 133650770 147015847 160452395 172959820 267301540 294031694 320904790 352995269 545538143 588063388 641809580 705990538 735079235 1091076286 1411981076 1470158470 1764976345 2182152572 2727690715 2940316940 3529952690 3882947959 5455381430 6000919573 7059905380 7765895918 10910762860 12001839146 15531791836 19414739795 24003678292 30004597865 38829479590 60009195730 66010115303 77658959180 120018391460 132020230606 264040461212 330050576515 660101153030 1320202306060