Search a number
-
+
20100120000012 = 22321342948974359
BaseRepresentation
bin1001001000111111011001…
…00000110011011000001100
32122011112220220220110222100
410210133230200303120030
510113310021210000022
6110425511225115100
74143120466001433
oct444375440633014
978145826813870
1020100120000012
11644a45a8049a8
122307655628a90
13b2a58291a3b0
144d6bcb1d811a
1524ccb48c61ac
hex1247ec83360c

20100120000012 has 36 divisors (see below), whose sum is σ = 54716993334640. Its totient is φ = 6184652307552.

The previous prime is 20100119999977. The next prime is 20100120000071. The reversal of 20100120000012 is 21000002100102.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×201001200000123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100119999949 and 20100120000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21474486712 + ... + 21474487647.

Almost surely, 220100120000012 is an apocalyptic number.

It is an amenable number.

20100120000012 is an abundant number, since it is smaller than the sum of its proper divisors (34616873334628).

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

20100120000012 is a wasteful number, since it uses less digits than its factorization.

20100120000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42948974382 (or 42948974377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100120000012 its reverse (21000002100102), we get a palindrome (41100122100114).

The spelling of 20100120000012 in words is "twenty trillion, one hundred billion, one hundred twenty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 42948974359 85897948718 128846923077 171795897436 257693846154 386540769231 515387692308 558336666667 773081538462 1116673333334 1546163076924 1675010000001 2233346666668 3350020000002 5025030000003 6700040000004 10050060000006 20100120000012