Search a number
-
+
323213013132300 = 223252794545893293
BaseRepresentation
bin100100101111101011110010…
…0110101011010010000001100
31120101101212021121110200001100
41021133113210311122100030
5314331010222330213200
63103230001452343100
7125036240525514234
oct11137274465322014
91511355247420040
10323213013132300
1193a92961849325
1230300a20174a90
1310b46b19556aa5
1459b5844054cc4
1527577a3a55d00
hex125f5e4d5a40c

323213013132300 has 108 divisors (see below), whose sum is σ = 1025917198589920. Its totient is φ = 85099122426240.

The previous prime is 323213013132277. The next prime is 323213013132337. The reversal of 323213013132300 is 3231310312323.

323213013132300 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 301 + 31 + 323 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2272875547 + ... + 2273017746.

Almost surely, 2323213013132300 is an apocalyptic number.

323213013132300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323213013132300 is an abundant number, since it is smaller than the sum of its proper divisors (702704185457620).

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

323213013132300 is a wasteful number, since it uses less digits than its factorization.

323213013132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545893392 (or 4545893382 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323213013132300 its reverse (3231310312323), we get a palindrome (326444323444623).

The spelling of 323213013132300 in words is "three hundred twenty-three trillion, two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 35550 71100 4545893293 9091786586 13637679879 18183573172 22729466465 27275359758 40913039637 45458932930 54550719516 68188399395 81826079274 90917865860 113647332325 136376798790 163652158548 204565198185 227294664650 272753597580 340941996975 359125570147 409130396370 454589329300 681883993950 718251140294 818260792740 1022825990925 1077376710441 1363767987900 1436502280588 1795627850735 2045651981850 2154753420882 3232130131323 3591255701470 4091303963700 4309506841764 5386883552205 6464260262646 7182511402940 8978139253675 10773767104410 12928520525292 16160650656615 17956278507350 21547534208820 26934417761025 32321301313230 35912557014700 53868835522050 64642602626460 80803253283075 107737671044100 161606506566150 323213013132300