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321054530132 = 227217531818017
BaseRepresentation
bin1001010110000000101…
…01110101101001010100
31010200200211201222101102
410223000111311221110
520230004424431012
6403253532445232
732124013323200
oct4530025655124
91120624658342
10321054530132
11114181a04426
1252280619818
1324376b26a6b
14117794cbb00
158540ccd2c2
hex4ac0575a54

321054530132 has 72 divisors (see below), whose sum is σ = 705078284904. Its totient is φ = 127057502208.

The previous prime is 321054530101. The next prime is 321054530221. The reversal of 321054530132 is 231035450123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59518433296 + 261536096836 = 243964^2 + 511406^2 .

It is a super-2 number, since 2×3210545301322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321054530095 and 321054530104.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 732413 + ... + 1085604.

It is an arithmetic number, because the mean of its divisors is an integer number (9792753957).

Almost surely, 2321054530132 is an apocalyptic number.

It is an amenable number.

321054530132 is an abundant number, since it is smaller than the sum of its proper divisors (384023754772).

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

321054530132 is a wasteful number, since it uses less digits than its factorization.

321054530132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818105 (or 1818096 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 321054530132 its reverse (231035450123), we get a palindrome (552089980255).

The spelling of 321054530132 in words is "three hundred twenty-one billion, fifty-four million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 238 371 476 742 833 901 1484 1666 1802 2597 3332 3604 5194 6307 10388 12614 25228 44149 88298 176596 1818017 3636034 7272068 12726119 25452238 30906289 50904476 61812578 89082833 96354901 123625156 178165666 192709802 216344023 356331332 385419604 432688046 674484307 865376092 1348968614 1514408161 1638033317 2697937228 3028816322 3276066634 4721390149 6057632644 6552133268 9442780298 11466233219 18885560596 22932466438 45864932876 80263632533 160527265066 321054530132