Search a number
-
+
210222012012120 = 23325583950033367
BaseRepresentation
bin101111110011001000100000…
…010110011001011001011000
31000120100000202110122001220100
4233303020200112121121120
5210023234140033341440
62023034354210255400
762165016300644433
oct5763104026313130
91016300673561810
10210222012012120
1160a8a722339019
121b6b2526587560
13903bb09c02bc4
1439cab2a42081a
151948554b59230
hexbf3220599658

210222012012120 has 48 divisors (see below), whose sum is σ = 683221539040560. Its totient is φ = 56059203203136.

The previous prime is 210222012012079. The next prime is 210222012012127. The reversal of 210222012012120 is 21210210222012.

It is a happy number.

210222012012120 is a `hidden beast` number, since 210 + 2 + 220 + 1 + 20 + 1 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210222012012093 and 210222012012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210222012012127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291975016324 + ... + 291975017043.

It is an arithmetic number, because the mean of its divisors is an integer number (14233782063345).

Almost surely, 2210222012012120 is an apocalyptic number.

210222012012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210222012012120 is an abundant number, since it is smaller than the sum of its proper divisors (472999527028440).

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

210222012012120 is a wasteful number, since it uses less digits than its factorization.

210222012012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583950033384 (or 583950033377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210222012012120 its reverse (21210210222012), we get a palindrome (231432222234132).

The spelling of 210222012012120 in words is "two hundred ten trillion, two hundred twenty-two billion, twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 583950033367 1167900066734 1751850100101 2335800133468 2919750166835 3503700200202 4671600266936 5255550300303 5839500333670 7007400400404 8759250500505 10511100600606 11679000667340 14014800800808 17518501001010 21022201201212 23358001334680 26277751501515 35037002002020 42044402402424 52555503003030 70074004004040 105111006006060 210222012012120