Search a number
-
+
321230011301200 = 24522333457997013
BaseRepresentation
bin100100100001010000011000…
…0101101101111110101010000
31120010101021210210200021012101
41021002200300231233311100
5314101013030343114300
63055111010245210144
7124443050065203001
oct11102406055576520
91503337723607171
10321230011301200
1193398978a26411
1230040640a00954
1310a31b247c4531
145947888d291a8
152720de2edcb6a
hex1242830b6fd50

321230011301200 has 120 divisors (see below), whose sum is σ = 775292335724088. Its totient is φ = 127903399280640.

The previous prime is 321230011301183. The next prime is 321230011301231. The reversal of 321230011301200 is 2103110032123.

It can be written as a sum of positive squares in 12 ways, for example, as 208402022610496 + 112827988690704 = 14436136^2 + 10622052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321693894 + ... + 322690906.

Almost surely, 2321230011301200 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 321230011301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387646167862044).

321230011301200 is an abundant number, since it is smaller than the sum of its proper divisors (454062324422888).

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

321230011301200 is a wasteful number, since it uses less digits than its factorization.

321230011301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000721 (or 1000710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 321230011301200 its reverse (2103110032123), we get a palindrome (323333121333323).

The spelling of 321230011301200 in words is "three hundred twenty-one trillion, two hundred thirty billion, eleven million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 932 1165 1864 2330 3457 3728 4660 5825 6914 9320 11650 13828 17285 18640 23300 27656 34570 46600 55312 69140 86425 93200 138280 172850 276560 345700 691400 805481 997013 1382800 1610962 1994026 3221924 3988052 4027405 4985065 6443848 7976104 8054810 9970130 12887696 15952208 16109620 19940260 20137025 24925325 32219240 39880520 40274050 49850650 64438480 79761040 80548100 99701300 161096200 199402600 232304029 322192400 398805200 464608058 929216116 1161520145 1858432232 2323040290 3446673941 3716864464 4646080580 5807600725 6893347882 9292161160 11615201450 13786695764 17233369705 18584322320 23230402900 27573391528 34466739410 46460805800 55146783056 68933478820 86166848525 92921611600 137866957640 172333697050 275733915280 344667394100 689334788200 803075028253 1378669576400 1606150056506 3212300113012 4015375141265 6424600226024 8030750282530 12849200452048 16061500565060 20076875706325 32123001130120 40153751412650 64246002260240 80307502825300 160615005650600 321230011301200