Search a number
-
+
100221110003300 = 225211137008469231
BaseRepresentation
bin10110110010011010001011…
…101010010010011001100100
3111010212001012110210111022012
4112302122023222102121210
5101114010313130101200
6553052535313253352
730052510351151336
oct2662321352223144
9433761173714265
10100221110003300
1129a2a5969242a0
12b2a7632b64258
1343bca6bab3920
141aa6a2879d456
15b8beab16ea35
hex5b268ba92664

100221110003300 has 72 divisors (see below), whose sum is σ = 255500754321792. Its totient is φ = 33640652304000.

The previous prime is 100221110003291. The next prime is 100221110003321. The reversal of 100221110003300 is 3300011122001.

It is a super-3 number, since 3×1002211100033003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3504220316 + ... + 3504248915.

Almost surely, 2100221110003300 is an apocalyptic number.

100221110003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221110003300 is an abundant number, since it is smaller than the sum of its proper divisors (155279644318492).

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

100221110003300 is a wasteful number, since it uses less digits than its factorization.

100221110003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008469269 (or 7008469262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100221110003300 its reverse (3300011122001), we get a palindrome (103521121125301).

The spelling of 100221110003300 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 7008469231 14016938462 28033876924 35042346155 70084692310 77093161541 91110100003 140169384620 154186323082 175211730775 182220200006 308372646164 350423461550 364440400012 385465807705 455550500015 700846923100 770931615410 911101000030 1002211100033 1541863230820 1822202000060 1927329038525 2004422200066 2277752500075 3854658077050 4008844400132 4555505000150 5011055500165 7709316154100 9111010000300 10022111000330 20044222000660 25055277500825 50110555001650 100221110003300