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243213534003312 = 243210133135047571
BaseRepresentation
bin110111010011001110010000…
…010011001000000001110000
31011220010222122100201122010100
4313103032100103020001300
5223334302304201101222
62221134431032032400
7102141412046615145
oct6723162023100160
91156128570648110
10243213534003312
117054a30a4212a4
12233404b4532700
13a592c265a6692
14440b85272a3cc
151d1b81ec094ac
hexdd33904c8070

243213534003312 has 120 divisors (see below), whose sum is σ = 687606929210448. Its totient is φ = 80244248832000.

The previous prime is 243213534003229. The next prime is 243213534003313. The reversal of 243213534003312 is 213300435312342.

243213534003312 is a `hidden beast` number, since 2 + 4 + 3 + 213 + 5 + 3 + 400 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243213534003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45660487 + ... + 50708057.

Almost surely, 2243213534003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243213534003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343803464605224).

243213534003312 is an abundant number, since it is smaller than the sum of its proper divisors (444393395207136).

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

243213534003312 is a wasteful number, since it uses less digits than its factorization.

243213534003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050999 (or 5050990 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 243213534003312 its reverse (213300435312342), we get a palindrome (456513969315654).

The spelling of 243213534003312 in words is "two hundred forty-three trillion, two hundred thirteen billion, five hundred thirty-four million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3313 3636 4848 6626 7272 9939 13252 14544 19878 26504 29817 39756 53008 59634 79512 119268 159024 238536 334613 477072 669226 1003839 1338452 2007678 2676904 3011517 4015356 5047571 5353808 6023034 8030712 10095142 12046068 15142713 16061424 20190284 24092136 30285426 40380568 45428139 48184272 60570852 80761136 90856278 121141704 181712556 242283408 363425112 509804671 726850224 1019609342 1529414013 2039218684 3058828026 4078437368 4588242039 6117656052 8156874736 9176484078 12235312104 16722602723 18352968156 24470624208 33445205446 36705936312 50167808169 66890410892 73411872624 100335616338 133780821784 150503424507 200671232676 267561643568 301006849014 401342465352 602013698028 802684930704 1204027396056 1688982875023 2408054792112 3377965750046 5066948625069 6755931500092 10133897250138 13511863000184 15200845875207 20267794500276 27023726000368 30401691750414 40535589000552 60803383500828 81071178001104 121606767001656 243213534003312