Search a number
-
+
210320103312 = 243311216272473
BaseRepresentation
bin1100001111100000001…
…1100001011110010000
3202002212120101020211000
43003320003201132100
511421213421301222
6240341505422000
721123633244524
oct3037003413620
9662776336730
10210320103312
1181218240600
123491793a900
1316aaa425897
14a27296bd84
15570e4b29ac
hex30f80e1790

210320103312 has 240 divisors, whose sum is σ = 664243666240. Its totient is φ = 63668436480.

The previous prime is 210320103307. The next prime is 210320103317. The reversal of 210320103312 is 213301023012.

210320103312 is a `hidden beast` number, since 2 + 1 + 0 + 320 + 10 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (210320103307) and next prime (210320103317).

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

It is not an unprimeable number, because it can be changed into a prime (210320103317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85045308 + ... + 85047780.

Almost surely, 2210320103312 is an apocalyptic number.

210320103312 is a gapful number since it is divisible by the number (22) 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 210320103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332121833120).

210320103312 is an abundant number, since it is smaller than the sum of its proper divisors (453923562928).

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

210320103312 is a wasteful number, since it uses less digits than its factorization.

210320103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210320103312 its reverse (213301023012), we get a palindrome (423621126324).

The spelling of 210320103312 in words is "two hundred ten billion, three hundred twenty million, one hundred three thousand, three hundred twelve".