Search a number
-
+
20120212112100 = 2235267067373707
BaseRepresentation
bin1001001001100100110100…
…00110001000001011100100
32122020110210011202112020220
410210302122012020023210
510114122143300041400
6110443033044524340
74144431420065622
oct444623206101344
978213704675226
1020120212112100
116457a30228111
12230b5223b06b0
13b2c435406409
144d7b7581a512
1524d58d7897a0
hex124c9a1882e4

20120212112100 has 36 divisors (see below), whose sum is σ = 58214480378544. Its totient is φ = 5365389896480.

The previous prime is 20120212112087. The next prime is 20120212112153. The reversal of 20120212112100 is 121121202102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20120212112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33533686554 + ... + 33533687153.

It is an arithmetic number, because the mean of its divisors is an integer number (1617068899404).

Almost surely, 220120212112100 is an apocalyptic number.

20120212112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120212112100 is an abundant number, since it is smaller than the sum of its proper divisors (38094268266444).

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

20120212112100 is a wasteful number, since it uses less digits than its factorization.

20120212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67067373724 (or 67067373717 counting only the distinct ones).

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

Adding to 20120212112100 its reverse (121121202102), we get a palindrome (20241333314202).

The spelling of 20120212112100 in words is "twenty trillion, one hundred twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 67067373707 134134747414 201202121121 268269494828 335336868535 402404242242 670673737070 804808484484 1006010605605 1341347474140 1676684342675 2012021211210 3353368685350 4024042422420 5030053028025 6706737370700 10060106056050 20120212112100