Search a number
-
+
20101220112012 = 22313241534663797
BaseRepresentation
bin1001001001000001011100…
…00101011001011010001100
32122011122202120221221221020
410210200232011121122030
510113314244322041022
6110430212324234140
74143156654542154
oct444405605313214
978148676857836
1020101220112012
11644a974796376
122307901b3b950
13b2a6c980a040
144d6c93365764
1524cd2b28035c
hex12482e15968c

20101220112012 has 48 divisors (see below), whose sum is σ = 50720346533472. Its totient is φ = 6159326929920.

The previous prime is 20101220112011. The next prime is 20101220112013. The reversal of 20101220112012 is 21021102210102.

It is an interprime number because it is at equal distance from previous prime (20101220112011) and next prime (20101220112013).

It is a junction number, because it is equal to n+sod(n) for n = 20101220111982 and 20101220112000.

It is not an unprimeable number, because it can be changed into a prime (20101220112011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267294303 + ... + 267369494.

It is an arithmetic number, because the mean of its divisors is an integer number (1056673886114).

Almost surely, 220101220112012 is an apocalyptic number.

It is an amenable number.

20101220112012 is an abundant number, since it is smaller than the sum of its proper divisors (30619126421460).

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

20101220112012 is a wasteful number, since it uses less digits than its factorization.

20101220112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534664058 (or 534664056 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20101220112012 its reverse (21021102210102), we get a palindrome (41122322322114).

The spelling of 20101220112012 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 6266 9399 12532 18798 37596 534663797 1069327594 1603991391 2138655188 3207982782 6415965564 6950629361 13901258722 20851888083 27802517444 41703776166 83407552332 128853975077 257707950154 386561925231 515415900308 773123850462 1546247700924 1675101676001 3350203352002 5025305028003 6700406704004 10050610056006 20101220112012