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21302033223096 = 2333269466378623
BaseRepresentation
bin1001101011111110001000…
…00111111000110110111000
32210102110021022200101122000
410311333010013320312320
510243003031001114341
6113150004032501000
74326010145556363
oct465770407706670
983373238611560
1021302033223096
11687316145889a
1224805879aa760
13bb6a086b8562
1453904986d0da
1526e1ac5328b6
hex135fc41f8db8

21302033223096 has 128 divisors (see below), whose sum is σ = 59405778432000. Its totient is φ = 7072674102144.

The previous prime is 21302033223073. The next prime is 21302033223103. The reversal of 21302033223096 is 69032233020312.

21302033223096 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 0 + 332 + 230 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21302033223096.

It is a congruent number.

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, 270899641 + ... + 270978263.

It is an arithmetic number, because the mean of its divisors is an integer number (464107644000).

Almost surely, 221302033223096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302033223096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29702889216000).

21302033223096 is an abundant number, since it is smaller than the sum of its proper divisors (38103745208904).

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

21302033223096 is a wasteful number, since it uses less digits than its factorization.

21302033223096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83570 (or 83560 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 21302033223096 in words is "twenty-one trillion, three hundred two billion, thirty-three million, two hundred twenty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2421 3228 4663 4842 6456 7263 9326 9684 13989 14526 18652 19368 27978 29052 37304 41967 55956 58104 78623 83934 111912 125901 157246 167868 235869 251802 314492 335736 471738 503604 628984 707607 943476 1007208 1254347 1415214 1886952 2122821 2508694 2830428 3763041 4245642 5017388 5660856 7526082 8491284 10034776 11289123 15052164 16982568 21149587 22578246 30104328 33867369 42299174 45156492 63448761 67734738 84598348 90312984 126897522 135469476 169196696 190346283 253795044 270938952 366619049 380692566 507590088 571038849 733238098 761385132 1099857147 1142077698 1466476196 1522770264 2199714294 2284155396 2932952392 3299571441 4399428588 4568310792 6599142882 8798857176 9898714323 13198285764 19797428646 26396571528 39594857292 79189714584 98620524181 197241048362 295861572543 394482096724 591723145086 788964193448 887584717629 1183446290172 1775169435258 2366892580344 2662754152887 3550338870516 5325508305774 7100677741032 10651016611548 21302033223096