Search a number
-
+
321213214120200 = 23352535355356867
BaseRepresentation
bin100100100001001000100011…
…1100001100101100100001000
31120010022200110011211001122120
41021002101013201211210020
5314100224130303321300
63055055151411251240
7124441613613416553
oct11102210741454410
91503280404731576
10321213214120200
11933918393a5746
12300393335a9b20
1310a3037883458c
145946b3416369a
15272075d52a3a0
hex1242447865908

321213214120200 has 48 divisors (see below), whose sum is σ = 995760963774480. Its totient is φ = 85656857098560.

The previous prime is 321213214120181. The next prime is 321213214120237. The reversal of 321213214120200 is 2021412312123.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267677677834 + ... + 267677679033.

It is an arithmetic number, because the mean of its divisors is an integer number (20745020078635).

Almost surely, 2321213214120200 is an apocalyptic number.

321213214120200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321213214120200 is an abundant number, since it is smaller than the sum of its proper divisors (674547749654280).

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

321213214120200 is a wasteful number, since it uses less digits than its factorization.

321213214120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535355356886 (or 535355356877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321213214120200 its reverse (2021412312123), we get a palindrome (323234626432323).

The spelling of 321213214120200 in words is "three hundred twenty-one trillion, two hundred thirteen billion, two hundred fourteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 535355356867 1070710713734 1606066070601 2141421427468 2676776784335 3212132141202 4282842854936 5353553568670 6424264282404 8030330353005 10707107137340 12848528564808 13383883921675 16060660706010 21414214274680 26767767843350 32121321412020 40151651765025 53535535686700 64242642824040 80303303530050 107071071373400 160606607060100 321213214120200