Search a number
-
+
321323320230000 = 24354112597691951
BaseRepresentation
bin100100100001111011110101…
…0010111000100000001110000
31120010201012122122212222022020
41021003313222113010001300
5314104030124434330000
63055221521231311440
7124452562264050204
oct11103675227040160
91503635578788266
10321323320230000
119342450042a700
123005674197b580
1310a3a875003c3a
14594c1bb488b04
152723554ad2ba0
hex1243dea5c4070

321323320230000 has 1200 divisors, whose sum is σ = 1161572037964800. Its totient is φ = 76437504000000.

The previous prime is 321323320229971. The next prime is 321323320230007. The reversal of 321323320230000 is 32023323123.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3213233202300002 (a number of 30 digits) contains 22 as substring.

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 (321323320230007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 164696729025 + ... + 164696730975.

It is an arithmetic number, because the mean of its divisors is an integer number (967976698304).

Almost surely, 2321323320230000 is an apocalyptic number.

321323320230000 is a gapful number since it is divisible by the number (30) 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 321323320230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580786018982400).

321323320230000 is an abundant number, since it is smaller than the sum of its proper divisors (840248717734800).

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

321323320230000 is a wasteful number, since it uses less digits than its factorization.

321323320230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 321323320230000 its reverse (32023323123), we get a palindrome (321355343553123).

The spelling of 321323320230000 in words is "three hundred twenty-one trillion, three hundred twenty-three billion, three hundred twenty million, two hundred thirty thousand".