Search a number
-
+
3210131000000 = 26565954409
BaseRepresentation
bin101110101101101010101…
…101111100101011000000
3102100212220112211002021202
4232231222231330223000
5410043322014000000
610454414104040332
7450632016200201
oct56555255745300
912325815732252
103210131000000
111028455297151
1243a18a4630a8
131a3938a15222
14b152a6bb5a8
1558782300dd5
hex2eb6ab7cac0

3210131000000 has 196 divisors, whose sum is σ = 8097634630200. Its totient is φ = 1262265600000.

The previous prime is 3210130999997. The next prime is 3210131000003. The reversal of 3210131000000 is 1310123.

It is an interprime number because it is at equal distance from previous prime (3210130999997) and next prime (3210131000003).

It is a super-2 number, since 2×32101310000002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3210131000003) 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 27 ways as a sum of consecutive naturals, for example, 58972796 + ... + 59027204.

Almost surely, 23210131000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3210131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048817315100).

3210131000000 is an abundant number, since it is smaller than the sum of its proper divisors (4887503630200).

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

3210131000000 is an frugal number, since it uses more digits than its factorization.

3210131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54510 (or 54475 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 3210131000000 its reverse (1310123), we get a palindrome (3210132310123).

The spelling of 3210131000000 in words is "three trillion, two hundred ten billion, one hundred thirty-one million", and thus it is an aban number.