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221301133303230 = 23452441111925963
BaseRepresentation
bin110010010100010110101111…
…011100000101110110111110
31002000120011220110221210020000
4302110112233130011312332
5213001244210111200410
62102400200453535130
764420323246051141
oct6224265734056676
91060504813853200
10221301133303230
1164571313494012
12209a17859444a6
1396637b83ab376
143c91063b58058
151a8b83c5addc0
hexc945af705dbe

221301133303230 has 80 divisors (see below), whose sum is σ = 595297938503664. Its totient is φ = 58989459012480.

The previous prime is 221301133303213. The next prime is 221301133303303. The reversal of 221301133303230 is 32303331103122.

221301133303230 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 1 + 1 + 3 + 330 + 323 + 0 = 666.

It is a super-2 number, since 2×2213011333032302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221301133303194 and 221301133303203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53985772 + ... + 57940191.

Almost surely, 2221301133303230 is an apocalyptic number.

221301133303230 is an abundant number, since it is smaller than the sum of its proper divisors (373996805200434).

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

221301133303230 is a wasteful number, since it uses less digits than its factorization.

221301133303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111928423 (or 111928414 counting only the distinct ones).

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

Adding to 221301133303230 its reverse (32303331103122), we get a palindrome (253604464406352).

The spelling of 221301133303230 in words is "two hundred twenty-one trillion, three hundred one billion, one hundred thirty-three million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2441 4882 7323 12205 14646 21969 24410 36615 43938 65907 73230 109845 131814 197721 219690 329535 395442 659070 988605 1977210 111925963 223851926 335777889 559629815 671555778 1007333667 1119259630 1678889445 2014667334 3022001001 3357778890 5036668335 6044002002 9066003003 10073336670 15110005005 18132006006 30220010010 45330015015 90660030030 273211275683 546422551366 819633827049 1366056378415 1639267654098 2458901481147 2732112756830 4098169135245 4917802962294 7376704443441 8196338270490 12294507405735 14753408886882 22130113330323 24589014811470 36883522217205 44260226660646 73767044434410 110650566651615 221301133303230