Search a number
-
+
100223313210 = 232511091004141
BaseRepresentation
bin101110101010111000…
…1100110010100111010
3100120200201211211101100
41131111301212110322
53120224132010320
6114013021232230
710145425051266
oct1352561462472
9316621754340
10100223313210
11395604a1679
1217510702676
1395b2b6a237
144bca9910a6
152918b4b790
hex1755c6653a

100223313210 has 48 divisors (see below), whose sum is σ = 260815843080. Its totient is φ = 26702090880.

The previous prime is 100223313209. The next prime is 100223313233. The reversal of 100223313210 is 12313322001.

100223313210 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 331 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30570074649 + 69653238561 = 174843^2 + 263919^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 402261 + ... + 601880.

Almost surely, 2100223313210 is an apocalyptic number.

100223313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100223313210 is an abundant number, since it is smaller than the sum of its proper divisors (160592529870).

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

100223313210 is a wasteful number, since it uses less digits than its factorization.

100223313210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005263 (or 1005260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100223313210 its reverse (12313322001), we get a palindrome (112536635211).

The spelling of 100223313210 in words is "one hundred billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1109 2218 3327 5545 6654 9981 11090 16635 19962 33270 49905 99810 1004141 2008282 3012423 5020705 6024846 9037269 10041410 15062115 18074538 30124230 45186345 90372690 1113592369 2227184738 3340777107 5567961845 6681554214 10022331321 11135923690 16703885535 20044662642 33407771070 50111656605 100223313210