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243132003312 = 243111091422069
BaseRepresentation
bin1110001001101111001…
…0111111001111110000
3212020120021202110211120
43202123302333033300
512440413243101222
6303405430342240
723365015633542
oct3423362771760
9766507673746
10243132003312
119412574a730
123b1544ba980
1319c09223523
14baa6617692
1564cedc715c
hex389bcbf3f0

243132003312 has 80 divisors (see below), whose sum is σ = 685819854720. Its totient is φ = 73608659200.

The previous prime is 243132003293. The next prime is 243132003329. The reversal of 243132003312 is 213300231342.

It is a super-2 number, since 2×2431320033122 (a number of 24 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365014 + ... + 787082.

It is an arithmetic number, because the mean of its divisors is an integer number (8572748184).

Almost surely, 2243132003312 is an apocalyptic number.

243132003312 is a gapful number since it is divisible by the number (22) 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 243132003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342909927360).

243132003312 is an abundant number, since it is smaller than the sum of its proper divisors (442687851408).

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

243132003312 is a wasteful number, since it uses less digits than its factorization.

243132003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423182 (or 423176 counting only the distinct ones).

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

Adding to 243132003312 its reverse (213300231342), we get a palindrome (456432234654).

The spelling of 243132003312 in words is "two hundred forty-three billion, one hundred thirty-two million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1091 2182 3273 4364 6546 8728 12001 13092 17456 24002 26184 36003 48004 52368 72006 96008 144012 192016 288024 422069 576048 844138 1266207 1688276 2532414 3376552 4642759 5064828 6753104 9285518 10129656 13928277 18571036 20259312 27856554 37142072 55713108 74284144 111426216 222852432 460477279 920954558 1381431837 1841909116 2762863674 3683818232 5065250069 5525727348 7367636464 10130500138 11051454696 15195750207 20261000276 22102909392 30391500414 40522000552 60783000828 81044001104 121566001656 243132003312