Search a number
-
+
210111021000 = 23325397240677
BaseRepresentation
bin1100001110101110010…
…1111011111111001000
3202002022222221202210200
43003223211323333020
511420301410133000
6240305040212200
721115514132226
oct3035345737710
9662288852720
10210111021000
1181120214a01
123487990a060
1316a7600b63a
14a252ca3b16
1556eae62500
hex30eb97bfc8

210111021000 has 192 divisors, whose sum is σ = 717499626480. Its totient is φ = 55451750400.

The previous prime is 210111020909. The next prime is 210111021007. The reversal of 210111021000 is 120111012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21965018436 + 188146002564 = 148206^2 + 433758^2 .

It is a super-2 number, since 2×2101110210002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210111021007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 752662 + ... + 993338.

Almost surely, 2210111021000 is an apocalyptic number.

210111021000 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 210111021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358749813240).

210111021000 is an abundant number, since it is smaller than the sum of its proper divisors (507388605480).

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

210111021000 is a wasteful number, since it uses less digits than its factorization.

210111021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240801 (or 240784 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210111021000 its reverse (120111012), we get a palindrome (210231132012).

The spelling of 210111021000 in words is "two hundred ten billion, one hundred eleven million, twenty-one thousand".