Search a number
-
+
323300220121300 = 225224138335025971
BaseRepresentation
bin100100110000010100011001…
…0110001101011000011010100
31120101201012101012210201100211
41021200220302301223003110
5314333422322322340200
63103334023141015204
7125045445561631462
oct11140506261530324
91511635335721324
10323300220121300
1194016942925964
12303158b96b4504
1310b52106828026
1459b9b5802b832
152759ba9ac8aba
hex1260a32c6b0d4

323300220121300 has 72 divisors (see below), whose sum is σ = 706311895145472. Its totient is φ = 128447237184000.

The previous prime is 323300220121187. The next prime is 323300220121381. The reversal of 323300220121300 is 3121022003323.

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, 8282686 + ... + 26743285.

It is an arithmetic number, because the mean of its divisors is an integer number (9809887432576).

Almost surely, 2323300220121300 is an apocalyptic number.

It is an amenable number.

323300220121300 is an abundant number, since it is smaller than the sum of its proper divisors (383011675024172).

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

323300220121300 is a wasteful number, since it uses less digits than its factorization.

323300220121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026609 (or 35026602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 323300220121300 its reverse (3121022003323), we get a palindrome (326421242124623).

The spelling of 323300220121300 in words is "three hundred twenty-three trillion, three hundred billion, two hundred twenty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 383 482 766 964 1205 1532 1915 2410 3830 4820 6025 7660 9575 12050 19150 24100 38300 92303 184606 369212 461515 923030 1846060 2307575 4615150 9230300 35025971 70051942 140103884 175129855 350259710 700519420 875649275 1751298550 3502597100 8441259011 13414946893 16882518022 26829893786 33765036044 42206295055 53659787572 67074734465 84412590110 134149468930 168825180220 211031475275 268298937860 335373672325 422062950550 670747344650 844125901100 1341494689300 3233002201213 6466004402426 12932008804852 16165011006065 32330022012130 64660044024260 80825055030325 161650110060650 323300220121300