Search a number
-
+
20112211110222 = 23371123210303983
BaseRepresentation
bin1001001001010101111010…
…01100101110100101001110
32122012201010120110112001000
410210222331030232211032
510114004302021011342
6110435231111401130
74144026224513550
oct444527514564516
978181116415030
1020112211110222
1164545a4935a70
122309a6a9831a6
13b2b75b90228a
144d7616d714d0
1524d27114244c
hex124abd32e94e

20112211110222 has 128 divisors (see below), whose sum is σ = 58144845496320. Its totient is φ = 4996822612320.

The previous prime is 20112211110197. The next prime is 20112211110253. The reversal of 20112211110222 is 22201111221102.

20112211110222 is a `hidden beast` number, since 201 + 1 + 221 + 11 + 10 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20112211110195 and 20112211110204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105056358 + ... + 105247625.

It is an arithmetic number, because the mean of its divisors is an integer number (454256605440).

Almost surely, 220112211110222 is an apocalyptic number.

20112211110222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20112211110222 is an abundant number, since it is smaller than the sum of its proper divisors (38032634386098).

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

20112211110222 is a wasteful number, since it uses less digits than its factorization.

20112211110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210304035 (or 210304029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20112211110222 its reverse (22201111221102), we get a palindrome (42313322331324).

The spelling of 20112211110222 in words is "twenty trillion, one hundred twelve billion, two hundred eleven million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 99 126 138 154 161 189 198 207 231 253 297 322 378 414 462 483 506 594 621 693 759 966 1242 1386 1449 1518 1771 2079 2277 2898 3542 4158 4347 4554 5313 6831 8694 10626 13662 15939 31878 47817 95634 210303983 420607966 630911949 1261823898 1472127881 1892735847 2313343813 2944255762 3785471694 4416383643 4626687626 4836991609 5678207541 6940031439 8832767286 9673983218 11356415082 13249150929 13880062878 14510974827 16193406691 20820094317 26498301858 29021949654 32386813382 33858941263 39747452787 41640188634 43532924481 48580220073 53206907699 62460282951 67717882526 79494905574 87065848962 97160440146 101576823789 106413815398 124920565902 130598773443 145740660219 159620723097 203153647578 261197546886 291481320438 304730471367 319241446194 372448353893 437221980657 478862169291 609460942734 744896707786 874443961314 914191414101 957724338582 1117345061679 1436586507873 1828382828202 2234690123358 2873173015746 3352035185037 6704070370074 10056105555111 20112211110222