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221313331133232 = 243132983147348899
BaseRepresentation
bin110010010100100010000110…
…011111000111101100110000
31002000121100101120022202022120
4302110202012133013230300
5213001444200232230412
62102405535111434240
764421234441643552
oct6224420637075460
91060540346282276
10221313331133232
1164576502886258
12209a400a985980
1396649b051a560
143c9189db514d2
151a8bd033aab8c
hexc948867c7b30

221313331133232 has 160 divisors (see below), whose sum is σ = 644610179808000. Its totient is φ = 64956109403136.

The previous prime is 221313331133201. The next prime is 221313331133357. The reversal of 221313331133232 is 232331133313122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221313331133193 and 221313331133202.

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, 72172482 + ... + 75176417.

It is an arithmetic number, because the mean of its divisors is an integer number (4028813623800).

Almost surely, 2221313331133232 is an apocalyptic number.

It is an amenable number.

221313331133232 is an abundant number, since it is smaller than the sum of its proper divisors (423296848674768).

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

221313331133232 is a wasteful number, since it uses less digits than its factorization.

221313331133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147349035 (or 147349029 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

Adding to 221313331133232 its reverse (232331133313122), we get a palindrome (453644464446354).

The spelling of 221313331133232 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 83 87 104 116 156 166 174 208 232 249 312 332 348 377 464 498 624 664 696 754 996 1079 1131 1328 1392 1508 1992 2158 2262 2407 3016 3237 3984 4316 4524 4814 6032 6474 7221 8632 9048 9628 12948 14442 17264 18096 19256 25896 28884 31291 38512 51792 57768 62582 93873 115536 125164 187746 250328 375492 500656 750984 1501968 147348899 294697798 442046697 589395596 884093394 1178791192 1768186788 1915535687 2357582384 3536373576 3831071374 4273118071 5746607061 7072747152 7662142748 8546236142 11493214122 12229958617 12819354213 15324285496 17092472284 22986428244 24459917234 25638708426 30648570992 34184944568 36689875851 45972856488 48919834468 51277416852 55550534923 68369889136 73379751702 91945712976 97839668936 102554833704 111101069846 146759503404 158989462021 166651604769 195679337872 205109667408 222202139692 293519006808 317978924042 333303209538 354668799893 444404279384 476968386063 587038013616 635957848084 666606419076 709337599786 888808558768 953936772126 1064006399679 1271915696168 1333212838152 1418675199572 1907873544252 2128012799358 2543831392336 2666425676304 2837350399144 3815747088504 4256025598716 4610694398609 5674700798288 7631494177008 8512051197432 9221388797218 13832083195827 17024102394864 18442777594436 27664166391654 36885555188872 55328332783308 73771110377744 110656665566616 221313331133232