Search a number
-
+
221020100010 = 2345594624819
BaseRepresentation
bin1100110111010111010…
…0110001010110101010
3210010111021022101220000
43031311310301112222
512110122121200020
6245311335443430
721653040565263
oct3156564612652
9703437271800
10221020100010
11858090a2486
1236a03226576
1317ac4150a88
14a9a9a6796a
155b38a42090
hex3375d315aa

221020100010 has 80 divisors (see below), whose sum is σ = 604371477600. Its totient is φ = 57939719904.

The previous prime is 221020100009. The next prime is 221020100023. The reversal of 221020100010 is 10001020122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221020099965 and 221020100001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2264620 + ... + 2360199.

It is an arithmetic number, because the mean of its divisors is an integer number (7554643470).

Almost surely, 2221020100010 is an apocalyptic number.

221020100010 is an abundant number, since it is smaller than the sum of its proper divisors (383351377590).

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

221020100010 is a wasteful number, since it uses less digits than its factorization.

221020100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624897 (or 4624888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221020100010 its reverse (10001020122), we get a palindrome (231021120132).

The spelling of 221020100010 in words is "two hundred twenty-one billion, twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 4779 5310 7965 9558 15930 23895 47790 4624819 9249638 13874457 23124095 27748914 41623371 46248190 69372285 83246742 124870113 138744570 208116855 249740226 272864321 374610339 416233710 545728642 624350565 749220678 818592963 1248701130 1364321605 1637185926 1873051695 2455778889 2728643210 3746103390 4092964815 4911557778 7367336667 8185929630 12278894445 14734673334 22102010001 24557788890 36836683335 44204020002 73673366670 110510050005 221020100010