Search a number
-
+
331221222210120 = 233511619405371839
BaseRepresentation
bin100101101001111100111001…
…1010010101011101001001000
31121102202102212110200102122220
41023103321303102223221020
5321403212030341210440
63132240532345414040
7126523641441530124
oct11323716322535110
91542672773612586
10331221222210120
11965a014a0221a0
1231194a8519a320
13112a8047aa6238
145bb129aa64584
152845c565158d0
hex12d3e734aba48

331221222210120 has 128 divisors (see below), whose sum is σ = 1085747936256000. Its totient is φ = 80166334682880.

The previous prime is 331221222210113. The next prime is 331221222210133. The reversal of 331221222210120 is 21012222122133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201868840 + ... + 203502999.

It is an arithmetic number, because the mean of its divisors is an integer number (8482405752000).

Almost surely, 2331221222210120 is an apocalyptic number.

331221222210120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331221222210120 is an abundant number, since it is smaller than the sum of its proper divisors (754526714045880).

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

331221222210120 is a wasteful number, since it uses less digits than its factorization.

331221222210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405372483 (or 405372479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 331221222210120 its reverse (21012222122133), we get a palindrome (352233444332253).

The spelling of 331221222210120 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 619 660 1238 1320 1857 2476 3095 3714 4952 6190 6809 7428 9285 12380 13618 14856 18570 20427 24760 27236 34045 37140 40854 54472 68090 74280 81708 102135 136180 163416 204270 272360 408540 817080 405371839 810743678 1216115517 1621487356 2026859195 2432231034 3242974712 4053718390 4459090229 4864462068 6080577585 8107436780 8918180458 9728924136 12161155170 13377270687 16214873560 17836360916 22295451145 24322310340 26754541374 35672721832 44590902290 48644620680 53509082748 66886353435 89181804580 107018165496 133772706870 178363609160 250925168341 267545413740 501850336682 535090827480 752775505023 1003700673364 1254625841705 1505551010046 2007401346728 2509251683410 2760176851751 3011102020092 3763877525115 5018503366820 5520353703502 6022204040184 7527755050230 8280530555253 10037006733640 11040707407004 13800884258755 15055510100460 16561061110506 22081414814008 27601768517510 30111020200920 33122122221012 41402652776265 55203537035020 66244244442024 82805305552530 110407074070040 165610611105060 331221222210120