Search a number
-
+
331003201003230 = 235729223243730589
BaseRepresentation
bin100101101000010111011000…
…0001101110001111011011110
31121101222121010012022120202110
41023100232300031301323132
5321341124023424100410
63131552434334334450
7126502122614044260
oct11320566015617336
91541877105276673
10331003201003230
119651673a804588
123115a77a35a426
131129061103cc42
145ba48d73d5b30
152840245de9720
hex12d0bb0371ede

331003201003230 has 128 divisors (see below), whose sum is σ = 943412869324800. Its totient is φ = 72721408080384.

The previous prime is 331003201003159. The next prime is 331003201003249. The reversal of 331003201003230 is 32300102300133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 331003201003197 and 331003201003206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120507225 + ... + 123223364.

It is an arithmetic number, because the mean of its divisors is an integer number (7370413041600).

Almost surely, 2331003201003230 is an apocalyptic number.

331003201003230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331003201003230 is an abundant number, since it is smaller than the sum of its proper divisors (612409668321570).

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

331003201003230 is a wasteful number, since it uses less digits than its factorization.

331003201003230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243730858.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 331003201003230 its reverse (32300102300133), we get a palindrome (363303303303363).

The spelling of 331003201003230 in words is "three hundred thirty-one trillion, three billion, two hundred one million, three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 223 290 406 435 446 609 669 870 1015 1115 1218 1338 1561 2030 2230 3045 3122 3345 4683 6090 6467 6690 7805 9366 12934 15610 19401 23415 32335 38802 45269 46830 64670 90538 97005 135807 194010 226345 271614 452690 679035 1358070 243730589 487461178 731191767 1218652945 1462383534 1706114123 2437305890 3412228246 3655958835 5118342369 7068187081 7311917670 8530570615 10236684738 14136374162 17061141230 21204561243 25591711845 35340935405 42409122486 49477309567 51183423690 54351921347 70681870810 98954619134 106022806215 108703842694 148431928701 163055764041 212045612430 247386547835 271759606735 296863857402 326111528082 380463449429 494773095670 543519213470 742159643505 760926898858 815278820205 1141390348287 1484319287010 1576205719063 1630557640410 1902317247145 2282780696574 3152411438126 3804634494290 4728617157189 5706951741435 7881028595315 9457234314378 11033440033441 11413903482870 15762057190630 22066880066882 23643085785945 33100320100323 47286171571890 55167200167205 66200640200646 110334400334410 165501600501615 331003201003230