Search a number
-
+
100002220220100 = 223521130303703097
BaseRepresentation
bin10110101111001110010100…
…110100000001111011000100
3111010002010012200001101200210
4112233032110310001323010
5101101414021334020400
6552404215153435420
730030631145535162
oct2657162464017304
9433063180041623
10100002220220100
1129955781297420
12b27112526bb70
1343a5227106c53
141a9a1c1a34232
15b86449682950
hex5af394d01ec4

100002220220100 has 72 divisors (see below), whose sum is σ = 315643371468768. Its totient is φ = 24242962476800.

The previous prime is 100002220220093. The next prime is 100002220220159. The reversal of 100002220220100 is 1022022200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15151848249 + ... + 15151854848.

It is an arithmetic number, because the mean of its divisors is an integer number (4383935714844).

Almost surely, 2100002220220100 is an apocalyptic number.

100002220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002220220100 is an abundant number, since it is smaller than the sum of its proper divisors (215641151248668).

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

100002220220100 is a wasteful number, since it uses less digits than its factorization.

100002220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30303703125 (or 30303703118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100002220220100 its reverse (1022022200001), we get a palindrome (101024242420101).

The spelling of 100002220220100 in words is "one hundred trillion, two billion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30303703097 60607406194 90911109291 121214812388 151518515485 181822218582 303037030970 333340734067 363644437164 454555546455 606074061940 666681468134 757592577425 909111092910 1000022202201 1333362936268 1515185154850 1666703670335 1818222185820 2000044404402 2272777732275 3030370309700 3333407340670 4000088808804 4545555464550 5000111011005 6666814681340 8333518351675 9091110929100 10000222022010 16667036703350 20000444044020 25000555055025 33334073406700 50001110110050 100002220220100