Search a number
-
+
210122112002220 = 2232511374676141691
BaseRepresentation
bin101111110001101011011101…
…110110000110100010101100
31000112222110220021010202021200
4233301223131312012202230
5210020120041133032340
62022520433214325500
762154551546610315
oct5761533566064254
91015873807122250
10210122112002220
1160a51318397a70
121b6970a61b9890
139032579032602
1439c5d7078b60c
151945b595c1330
hexbf1addd868ac

210122112002220 has 288 divisors, whose sum is σ = 715634668659456. Its totient is φ = 49455835891200.

The previous prime is 210122112002167. The next prime is 210122112002221. The reversal of 210122112002220 is 22200211221012.

It is a happy number.

210122112002220 is a `hidden beast` number, since 2 + 101 + 221 + 120 + 0 + 2 + 220 = 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 = 210122112002193 and 210122112002202.

It is not an unprimeable number, because it can be changed into a prime (210122112002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31141575 + ... + 37283265.

It is an arithmetic number, because the mean of its divisors is an integer number (2484842599512).

Almost surely, 2210122112002220 is an apocalyptic number.

210122112002220 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 210122112002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357817334329728).

210122112002220 is an abundant number, since it is smaller than the sum of its proper divisors (505512556657236).

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

210122112002220 is a wasteful number, since it uses less digits than its factorization.

210122112002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142221 (or 6142216 counting only the distinct ones).

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

Adding to 210122112002220 its reverse (22200211221012), we get a palindrome (232322323223232).

The spelling of 210122112002220 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, two hundred twenty".