Search a number
-
+
210232323013200 = 24352175193602511
BaseRepresentation
bin101111110011010010000110…
…111011101111101001010000
31000120101000101001121012022020
4233303102012323233221100
5210023421244142410300
62023043221303011440
762165532643005165
oct5763220673575120
91016330331535266
10210232323013200
1160a94033660814
121b6b4523739b80
13903ca91170587
1439cb4279bc06c
151948959e9a8a0
hexbf3486eefa50

210232323013200 has 60 divisors (see below), whose sum is σ = 673444208056128. Its totient is φ = 56061952803200.

The previous prime is 210232323013169. The next prime is 210232323013201. The reversal of 210232323013200 is 2310323232012.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210232323013201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87596800056 + ... + 87596802455.

Almost surely, 2210232323013200 is an apocalyptic number.

210232323013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210232323013200 is an abundant number, since it is smaller than the sum of its proper divisors (463211885042928).

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

210232323013200 is a wasteful number, since it uses less digits than its factorization.

210232323013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175193602532 (or 175193602521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 210232323013200 its reverse (2310323232012), we get a palindrome (212542646245212).

The spelling of 210232323013200 in words is "two hundred ten trillion, two hundred thirty-two billion, three hundred twenty-three million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 175193602511 350387205022 525580807533 700774410044 875968012555 1051161615066 1401548820088 1751936025110 2102323230132 2627904037665 2803097640176 3503872050220 4204646460264 4379840062775 5255808075330 7007744100440 8409292920528 8759680125550 10511616150660 13139520188325 14015488200880 17519360251100 21023232301320 26279040376650 35038720502200 42046464602640 52558080753300 70077441004400 105116161506600 210232323013200