Search a number
-
+
22112013100020 = 22355343853158563
BaseRepresentation
bin1010000011100010110101…
…01011111010001111110100
32220021212222012201102001220
411001301122223322033310
510344240400323200040
6115010041340350340
74441353204122454
oct501613253721764
986255865642056
1022112013100020
117055719a32858
1225915585453b0
13c45200127c3c
145663273d9d64
152852b6a5a2d0
hex141c5aafa3f4

22112013100020 has 96 divisors (see below), whose sum is σ = 63083654831232. Its totient is φ = 5785113005568.

The previous prime is 22112013100019. The next prime is 22112013100027. The reversal of 22112013100020 is 2000131021122.

It is a super-2 number, since 2×221120131000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112013100027) 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, 139373259 + ... + 139531821.

It is an arithmetic number, because the mean of its divisors is an integer number (657121404492).

Almost surely, 222112013100020 is an apocalyptic number.

22112013100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112013100020 is an abundant number, since it is smaller than the sum of its proper divisors (40971641731212).

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

22112013100020 is a wasteful number, since it uses less digits than its factorization.

22112013100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202481 (or 202479 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22112013100020 its reverse (2000131021122), we get a palindrome (24112144121142).

The spelling of 22112013100020 in words is "twenty-two trillion, one hundred twelve billion, thirteen million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 43853 87706 131559 158563 175412 219265 263118 317126 438530 475689 526236 634252 657795 792815 877060 951378 1315590 1585630 1902756 2324209 2378445 2631180 3171260 4648418 4756890 6972627 8403839 9296836 9513780 11621045 13945254 16807678 23242090 25211517 27890508 33615356 34863135 42019195 46484180 50423034 69726270 84038390 100846068 126057585 139452540 168076780 252115170 504230340 6953463239 13906926478 20860389717 27813852956 34767316195 41720779434 69534632390 83441558868 104301948585 139069264780 208603897170 368533551667 417207794340 737067103334 1105600655001 1474134206668 1842667758335 2211201310002 3685335516670 4422402620004 5528003275005 7370671033340 11056006550010 22112013100020