Search a number
-
+
100020224010 = 2357974910173
BaseRepresentation
bin101110100100110101…
…0111000000000001010
3100120011120200211101010
41131021222320000022
53114320134132020
6113540524304350
710140410606430
oct1351152700012
9316146624333
10100020224010
1139466899763
12174746a20b6
13957ca70b05
144baba06d50
152905dd1de0
hex1749ab800a

100020224010 has 64 divisors (see below), whose sum is σ = 277169501952. Its totient is φ = 22626072576.

The previous prime is 100020223997. The next prime is 100020224011. The reversal of 100020224010 is 10422020001.

It is a super-2 number, since 2×1000202240102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100020224011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434717 + ... + 2475456.

It is an arithmetic number, because the mean of its divisors is an integer number (4330773468).

Almost surely, 2100020224010 is an apocalyptic number.

100020224010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020224010 is an abundant number, since it is smaller than the sum of its proper divisors (177149277942).

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

100020224010 is a wasteful number, since it uses less digits than its factorization.

100020224010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910287.

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

Adding to 100020224010 its reverse (10422020001), we get a palindrome (110442244011).

The spelling of 100020224010 in words is "one hundred billion, twenty million, two hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2910 3395 4074 6790 10185 20370 4910173 9820346 14730519 24550865 29461038 34371211 49101730 68742422 73652595 103113633 147305190 171856055 206227266 343712110 476286781 515568165 952573562 1031136330 1428860343 2381433905 2857720686 3334007467 4762867810 6668014934 7144301715 10002022401 14288603430 16670037335 20004044802 33340074670 50010112005 100020224010