Search a number
-
+
22111200100010 = 2575923922400843
BaseRepresentation
bin1010000011100001010100…
…01110100011111010101010
32220021210212112220201201102
411001300222032203322222
510344232214211200020
6115005424535121402
74441324102543160
oct501605216437252
986253775821642
1022111200100010
11705534202291a
122591370213262
13c45100872b48
1456628b449230
1528526a4b6475
hex141c2a3a3eaa

22111200100010 has 64 divisors (see below), whose sum is σ = 46450390118400. Its totient is φ = 7421309351232.

The previous prime is 22111200100007. The next prime is 22111200100037. The reversal of 22111200100010 is 1000100211122.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22111200099964 and 22111200100000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10213352 + ... + 12187491.

It is an arithmetic number, because the mean of its divisors is an integer number (725787345600).

Almost surely, 222111200100010 is an apocalyptic number.

22111200100010 is an abundant number, since it is smaller than the sum of its proper divisors (24339190018390).

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

22111200100010 is a wasteful number, since it uses less digits than its factorization.

22111200100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401155.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22111200100010 its reverse (1000100211122), we get a palindrome (23111300311132).

The spelling of 22111200100010 in words is "twenty-two trillion, one hundred eleven billion, two hundred million, one hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 59 70 118 239 295 413 478 590 826 1195 1673 2065 2390 3346 4130 8365 14101 16730 28202 70505 98707 141010 197414 493535 987070 22400843 44801686 112004215 156805901 224008430 313611802 784029505 1321649737 1568059010 2643299474 5353801477 6608248685 9251548159 10707602954 13216497370 18503096318 26769007385 37476610339 46257740795 53538014770 74953220678 92515481590 187383051695 315874287143 374766103390 631748574286 1579371435715 2211120010001 3158742871430 4422240020002 11055600050005 22111200100010