Search a number
-
+
2120210110020 = 223553212579863
BaseRepresentation
bin11110110110100110010…
…111101101011001000100
321111200122002101011020010
4132312212113231121010
5234214142242010040
64302002220510220
7306115532403102
oct36664627553104
97450562334203
102120210110020
117481a3373752
122a2ab20ab370
13124c201356a2
1474893a8ac72
153a241637e80
hex1eda65ed644

2120210110020 has 72 divisors (see below), whose sum is σ = 6050713306176. Its totient is φ = 554721594752.

The previous prime is 2120210109989. The next prime is 2120210110033. The reversal of 2120210110020 is 200110120212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120210109978 and 2120210110005.

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 23 ways as a sum of consecutive naturals, for example, 6121392 + ... + 6458471.

It is an arithmetic number, because the mean of its divisors is an integer number (84037684808).

Almost surely, 22120210110020 is an apocalyptic number.

2120210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120210110020 is an abundant number, since it is smaller than the sum of its proper divisors (3930503196156).

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

2120210110020 is a wasteful number, since it uses less digits than its factorization.

2120210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12579981 (or 12579926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120210110020 its reverse (200110120212), we get a palindrome (2320320230232).

The spelling of 2120210110020 in words is "two trillion, one hundred twenty billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2809 3180 5618 8427 11236 14045 16854 28090 33708 42135 56180 84270 168540 12579863 25159726 37739589 50319452 62899315 75479178 125798630 150958356 188697945 251597260 377395890 666732739 754791780 1333465478 2000198217 2666930956 3333663695 4000396434 6667327390 8000792868 10000991085 13334654780 20001982170 35336835167 40003964340 70673670334 106010505501 141347340668 176684175835 212021011002 353368351670 424042022004 530052527505 706736703340 1060105055010 2120210110020