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2130324144 = 2431316720443
BaseRepresentation
bin111111011111010…
…0010101010110000
312111110120200100020
41332332202222300
513330330333034
6551220123440
7103535312364
oct17676425260
95443520306
102130324144
119a3570073
124b5536580
1327c477540
14162d012a4
15c7057249
hex7efa2ab0

2130324144 has 80 divisors (see below), whose sum is σ = 5962451712. Its totient is φ = 651527424.

The previous prime is 2130324139. The next prime is 2130324149. The reversal of 2130324144 is 4414230312.

It is an interprime number because it is at equal distance from previous prime (2130324139) and next prime (2130324149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2130324149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93987 + ... + 114429.

Almost surely, 22130324144 is an apocalyptic number.

2130324144 is a gapful number since it is divisible by the number (24) 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 2130324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981225856).

2130324144 is an abundant number, since it is smaller than the sum of its proper divisors (3832127568).

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

2130324144 is a wasteful number, since it uses less digits than its factorization.

2130324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634 (or 20628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2130324144 is about 46155.4346095885. The cubic root of 2130324144 is about 1286.7136154161.

Adding to 2130324144 its reverse (4414230312), we get a palindrome (6544554456).

The spelling of 2130324144 in words is "two billion, one hundred thirty million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 1002 1336 2004 2171 2672 4008 4342 6513 8016 8684 13026 17368 20443 26052 34736 40886 52104 61329 81772 104208 122658 163544 245316 265759 327088 490632 531518 797277 981264 1063036 1594554 2126072 3189108 3413981 4252144 6378216 6827962 10241943 12756432 13655924 20483886 27311848 40967772 44381753 54623696 81935544 88763506 133145259 163871088 177527012 266290518 355054024 532581036 710108048 1065162072 2130324144