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220033001220312 = 233715110687811607
BaseRepresentation
bin110010000001111001101100…
…111000000110100011011000
31001212001221122011201020220010
4302001321230320012203120
5212320010041303022222
62055545433150201520
764226600614152630
oct6201715470064330
91055057564636803
10220033001220312
1164122520a38685
1220817a52ab32a0
1395a103b6587c7
143c49922b2d6c0
151a6886b28480c
hexc81e6ce068d8

220033001220312 has 128 divisors (see below), whose sum is σ = 632889061539840. Its totient is φ = 62444316355200.

The previous prime is 220033001220299. The next prime is 220033001220323. The reversal of 220033001220312 is 213022100330022.

It is a happy number.

It is a super-2 number, since 2×2200330012203122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 270702013 + ... + 271513619.

It is an arithmetic number, because the mean of its divisors is an integer number (4944445793280).

Almost surely, 2220033001220312 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 220033001220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316444530769920).

220033001220312 is an abundant number, since it is smaller than the sum of its proper divisors (412856060319528).

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

220033001220312 is a wasteful number, since it uses less digits than its factorization.

220033001220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822461 (or 822457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220033001220312 its reverse (213022100330022), we get a palindrome (433055101550334).

The spelling of 220033001220312 in words is "two hundred twenty trillion, thirty-three billion, one million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 906 1057 1208 1812 2114 3171 3624 4228 6342 8456 10687 12684 21374 25368 32061 42748 64122 74809 85496 128244 149618 224427 256488 299236 448854 598472 811607 897708 1613737 1623214 1795416 2434821 3227474 3246428 4841211 4869642 5681249 6454948 6492856 9682422 9739284 11296159 11362498 12909896 17043747 19364844 19478568 22592318 22724996 33888477 34087494 38729688 45184636 45449992 67776954 68174988 90369272 122552657 135553908 136349976 245105314 271107816 367657971 490210628 735315942 857868599 980421256 1470631884 1715737198 2573605797 2941263768 3431474396 5147211594 6862948792 8673644009 10294423188 17347288018 20588846376 26020932027 34694576036 52041864054 60715508063 69389152072 104083728108 121431016126 182146524189 208167456216 242862032252 364293048378 485724064504 728586096756 1309720245359 1457172193512 2619440490718 3929160736077 5238880981436 7858321472154 9168041717513 10477761962872 15716642944308 18336083435026 27504125152539 31433285888616 36672166870052 55008250305078 73344333740104 110016500610156 220033001220312