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321362130512 = 24172364379889
BaseRepresentation
bin1001010110100101010…
…11001111011001010000
31010201111021112200210002
410223102223033121100
520231122201134022
6403344241425132
732134440016253
oct4532253173120
91121437480702
10321362130512
1111431a5aa115
125234763b1a8
13243c5786117
14117a82bd09a
15855ccde092
hex4ad2acf650

321362130512 has 80 divisors (see below), whose sum is σ = 689007150720. Its totient is φ = 144427278336.

The previous prime is 321362130511. The next prime is 321362130527. The reversal of 321362130512 is 215031263123.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321362130511) 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 15 ways as a sum of consecutive naturals, for example, 3982664 + ... + 4062552.

It is an arithmetic number, because the mean of its divisors is an integer number (8612589384).

Almost surely, 2321362130512 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 321362130512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344503575360).

321362130512 is an abundant number, since it is smaller than the sum of its proper divisors (367645020208).

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

321362130512 is a wasteful number, since it uses less digits than its factorization.

321362130512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80580 (or 80574 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 321362130512 its reverse (215031263123), we get a palindrome (536393393635).

The spelling of 321362130512 in words is "three hundred twenty-one billion, three hundred sixty-two million, one hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 643 782 1286 1564 2572 3128 5144 6256 10288 10931 14789 21862 29578 43724 59156 79889 87448 118312 159778 174896 236624 251413 319556 502826 639112 1005652 1278224 1358113 1837447 2011304 2716226 3674894 4022608 5432452 7349788 10864904 14699576 21729808 29399152 31236599 51368627 62473198 102737254 124946396 205474508 249892792 410949016 499785584 821898032 873266659 1181478421 1746533318 2362956842 3493066636 4725913684 6986133272 9451827368 13972266544 18903654736 20085133157 40170266314 80340532628 160681065256 321362130512