Search a number
-
+
20111210121222 = 232119191031107201
BaseRepresentation
bin1001001001010100000011…
…00010010000100000000110
32122012121112210221000021100
410210222001202100200012
510114000224242334342
6110434543513000530
74143662351323353
oct444520142204006
978177483830240
1020111210121222
1164541308a7130
12230982b6b3146
13b2b62c409bac
144d756004762a
1524d213317e4c
hex124a81890806

20111210121222 has 96 divisors (see below), whose sum is σ = 47633913699840. Its totient is φ = 6081713280000.

The previous prime is 20111210121203. The next prime is 20111210121287. The reversal of 20111210121222 is 22212101211102.

20111210121222 is a `hidden beast` number, since 2 + 0 + 111 + 210 + 121 + 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 = 20111210121195 and 20111210121204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187549222 + ... + 187656422.

It is an arithmetic number, because the mean of its divisors is an integer number (496186601040).

Almost surely, 220111210121222 is an apocalyptic number.

20111210121222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20111210121222 is an abundant number, since it is smaller than the sum of its proper divisors (27522703578618).

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

20111210121222 is a wasteful number, since it uses less digits than its factorization.

20111210121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109170 (or 109167 counting only the distinct ones).

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

Adding to 20111210121222 its reverse (22212101211102), we get a palindrome (42323311332324).

The spelling of 20111210121222 in words is "twenty trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 919 1031 1838 2062 2757 3093 5514 6186 8271 9279 10109 11341 16542 18558 20218 22682 30327 34023 60654 68046 90981 102069 107201 181962 204138 214402 321603 643206 947489 964809 1179211 1894978 1929618 2358422 2842467 3537633 5684934 7075266 8527401 10422379 10612899 17054802 20844758 21225798 31267137 62534274 93801411 98517719 110524231 187602822 197035438 221048462 295553157 331572693 591106314 663145386 886659471 994718079 1083694909 1215766541 1773318942 1989436158 2167389818 2431533082 3251084727 3647299623 6502169454 7294599246 9753254181 10941898869 19506508362 21883797738 101571768289 203143536578 304715304867 609430609734 914145914601 1117289451179 1828291829202 2234578902358 3351868353537 6703736707074 10055605060611 20111210121222