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3311232120020 = 22511431346325999
BaseRepresentation
bin110000001011110100110…
…100000111010011010100
3102201112212110102010020102
4300023310310013103110
5413222400410320040
611013054203553232
7461141263425146
oct60136464072324
912645773363212
103311232120020
111067316231aa0
124558a4b2b818
131b032b6a8376
14b639ba8cc96
155b1ed043515
hex302f4d074d4

3311232120020 has 96 divisors (see below), whose sum is σ = 7763019264000. Its totient is φ = 1175949855360.

The previous prime is 3311232120019. The next prime is 3311232120047. The reversal of 3311232120020 is 200212321133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3311232119974 and 3311232120001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 127346981 + ... + 127372979.

It is an arithmetic number, because the mean of its divisors is an integer number (80864784000).

Almost surely, 23311232120020 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 3311232120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881509632000).

3311232120020 is an abundant number, since it is smaller than the sum of its proper divisors (4451787143980).

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

3311232120020 is a wasteful number, since it uses less digits than its factorization.

3311232120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39525 (or 39523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3311232120020 its reverse (200212321133), we get a palindrome (3511444441153).

The spelling of 3311232120020 in words is "three trillion, three hundred eleven billion, two hundred thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 13463 25999 26926 51998 53852 67315 103996 129995 134630 148093 259990 269260 285989 296186 519980 571978 578909 592372 740465 1117957 1143956 1157818 1429945 1480930 2235914 2315636 2859890 2894545 2961860 4471828 5589785 5719780 5789090 6367999 11179570 11578180 12297527 12735998 22359140 24595054 25471996 31839995 49190108 61487635 63679990 122975270 127359980 245950540 350024537 700049074 1400098148 1750122685 3500245370 3850269907 7000490740 7700539814 15051055091 15401079628 19251349535 30102110182 38502699070 60204220364 75255275455 77005398140 150510550910 165561606001 301021101820 331123212002 662246424004 827808030005 1655616060010 3311232120020