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223121223130 = 251319210614481
BaseRepresentation
bin1100111111001100001…
…1111010110111011010
3210022220200221111221211
43033303003322313122
512123423013120010
6250300034053334
722056103050541
oct3176303726732
9708820844854
10223121223130
1186697128373
12372aaa1a24a
131806a542bb0
14ab28b27158
155c0d22c08a
hex33f30fadda

223121223130 has 96 divisors (see below), whose sum is σ = 457005982608. Its totient is φ = 77956300800.

The previous prime is 223121223107. The next prime is 223121223209. The reversal of 223121223130 is 31322121322.

It can be written as a sum of positive squares in 8 ways, for example, as 103924351129 + 119196872001 = 322373^2 + 345249^2 .

It is a super-3 number, since 3×2231212231303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49790490 + ... + 49794970.

Almost surely, 2223121223130 is an apocalyptic number.

223121223130 is an abundant number, since it is smaller than the sum of its proper divisors (233884759478).

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

223121223130 is a wasteful number, since it uses less digits than its factorization.

223121223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223121223130 its reverse (31322121322), we get a palindrome (254443344452).

The spelling of 223121223130 in words is "two hundred twenty-three billion, one hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 361 494 722 1061 1235 1805 2122 2470 3610 4481 4693 5305 8962 9386 10610 13793 20159 22405 23465 27586 40318 44810 46930 58253 68965 85139 100795 116506 137930 170278 201590 262067 291265 383021 425695 524134 582530 766042 851390 1106807 1310335 1617641 1915105 2213614 2620670 3235282 3830210 4754341 4979273 5534035 8088205 9508682 9958546 11068070 16176410 21029333 23771705 24896365 42058666 47543410 49792730 61806433 90332479 105146665 123612866 180664958 210293330 309032165 451662395 618064330 903324790 1174322227 1716317101 2348644454 3432634202 5871611135 8581585505 11743222270 17163171010 22312122313 44624244626 111560611565 223121223130