Search a number
-
+
210102021002220 = 2235193749110144769
BaseRepresentation
bin101111110001011000110000…
…010101000001001111101100
31000112220120001002101012111120
4233301120300111001033230
5210014302414334032340
62022503311434420540
762153240641124304
oct5761306025011754
91015816032335446
10210102021002220
1160a43848564336
121b693219891750
1390306c6845829
1439c4dc6378604
15194538087c4d0
hexbf16305413ec

210102021002220 has 192 divisors, whose sum is σ = 637279842931200. Its totient is φ = 51538667765760.

The previous prime is 210102021002213. The next prime is 210102021002261. The reversal of 210102021002220 is 22200120201012.

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 210102021002220.

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 63 ways as a sum of consecutive naturals, for example, 15637996 + ... + 25782764.

It is an arithmetic number, because the mean of its divisors is an integer number (3319165848600).

Almost surely, 2210102021002220 is an apocalyptic number.

210102021002220 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 210102021002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318639921465600).

210102021002220 is an abundant number, since it is smaller than the sum of its proper divisors (427177821928980).

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

210102021002220 is a wasteful number, since it uses less digits than its factorization.

210102021002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145328 (or 10145326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210102021002220 its reverse (22200120201012), we get a palindrome (232302141203232).

The spelling of 210102021002220 in words is "two hundred ten trillion, one hundred two billion, twenty-one million, two thousand, two hundred twenty".