Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
323212021130112 = 2731944299893247
BaseRepresentation
bin100100101111101011010100…
…1101101001110001110000000
31120101101202201110211201212120
41021133112221231032032000
5314331001204402130422
63103225315214324240
7125036204121603462
oct11137265155161600
91511352643751776
10323212021130112
1193a924a2898404
12303007a3ab9680
1310b469bbb8a04a
1459b578c3ca132
15275774690445c
hex125f5a9b4e380

323212021130112 has 64 divisors (see below), whose sum is σ = 903717822259200. Its totient is φ = 102066954038784.

The previous prime is 323212021130107. The next prime is 323212021130143. The reversal of 323212021130112 is 211031120212323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3232120211301123 (a number of 45 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22149939328 + ... + 22149953919.

It is an arithmetic number, because the mean of its divisors is an integer number (14120590972800).

Almost surely, 2323212021130112 is an apocalyptic number.

323212021130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323212021130112 is an abundant number, since it is smaller than the sum of its proper divisors (580505801129088).

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

323212021130112 is a wasteful number, since it uses less digits than its factorization.

323212021130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44299893283 (or 44299893271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 323212021130112 its reverse (211031120212323), we get a palindrome (534243141342435).

The spelling of 323212021130112 in words is "three hundred twenty-three trillion, two hundred twelve billion, twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 44299893247 88599786494 132899679741 177199572988 265799359482 354399145976 531598718964 708798291952 841697971693 1063197437928 1417596583904 1683395943386 2126394875856 2525093915079 2835193167808 3366791886772 4252789751712 5050187830158 5670386335616 6733583773544 8505579503424 10100375660316 13467167547088 17011159006848 20200751320632 26934335094176 40401502641264 53868670188352 80803005282528 107737340376704 161606010565056 323212021130112