Search a number
-
+
20210120210020 = 225134147178722573
BaseRepresentation
bin1001001100001100010010…
…00010010011011001100100
32122120001212000201010102111
410212012021002103121210
510122110311233210040
6110552222343250404
74154063422235236
oct446061102233144
978501760633374
1020210120210020
116492077a88874
122324a34449a04
13b37a6318ba60
144dc264434256
15250aa1a10dea
hex126189093664

20210120210020 has 192 divisors, whose sum is σ = 47845807543296. Its totient is φ = 7120992890880.

The previous prime is 20210120209991. The next prime is 20210120210051. The reversal of 20210120210020 is 2001202101202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 63 ways as a sum of consecutive naturals, for example, 895311454 + ... + 895334026.

It is an arithmetic number, because the mean of its divisors is an integer number (249196914288).

Almost surely, 220210120210020 is an apocalyptic number.

20210120210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922903771648).

20210120210020 is an abundant number, since it is smaller than the sum of its proper divisors (27635687333276).

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

20210120210020 is a wasteful number, since it uses less digits than its factorization.

20210120210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24470 (or 24468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20210120210020 its reverse (2001202101202), we get a palindrome (22211322311222).

The spelling of 20210120210020 in words is "twenty trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, twenty".