Search a number
-
+
22100100200101 = 7114343115679883
BaseRepresentation
bin1010000011001100101001…
…00111110011011010100101
32220020202012222111101120101
411001212110213303122211
510344042001122400401
6115000351301504101
74440452041133020
oct501462447633245
986222188441511
1022100100200101
117050666461820
12258b192a12031
13c4405203b431
145659171b21b7
15284d1ac92101
hex1419949f36a5

22100100200101 has 64 divisors (see below), whose sum is σ = 28280458838016. Its totient is φ = 16768939723200.

The previous prime is 22100100200099. The next prime is 22100100200119. The reversal of 22100100200101 is 10100200100122.

It is not a de Polignac number, because 22100100200101 - 21 = 22100100200099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100100200141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2236168306 + ... + 2236178188.

It is an arithmetic number, because the mean of its divisors is an integer number (441882169344).

Almost surely, 222100100200101 is an apocalyptic number.

It is an amenable number.

22100100200101 is a deficient number, since it is larger than the sum of its proper divisors (6180358637915).

22100100200101 is a wasteful number, since it uses less digits than its factorization.

22100100200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22100100200101 its reverse (10100200100122), we get a palindrome (32200300300223).

The spelling of 22100100200101 in words is "twenty-two trillion, one hundred billion, one hundred million, two hundred thousand, one hundred one".

Divisors: 1 7 11 43 77 301 431 473 1567 3017 3311 4741 9883 10969 17237 18533 33187 67381 69181 108713 120659 129731 203863 424969 471667 675377 741191 760991 1427041 2974783 4259573 4674659 4727639 5188337 7429147 15486661 29041211 29817011 32722613 46855303 52004029 108406627 170353271 183161639 203288477 319453321 327987121 665926423 1192472897 1282131473 2014778029 2236173247 4661484961 6674750891 7325190653 14103446203 46723256237 51276334571 73422259801 287014288313 513955818607 2009100018191 3157157171443 22100100200101