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1221000323202 = 23211223119320431
BaseRepresentation
bin10001110001001001010…
…010100110000010000010
311022201121121112001200200
4101301021102212002002
5130001102040320302
62332530402230030
7154133345335062
oct21611122460202
94281547461620
101221000323202
1143090693a800
1217877a655316
138b1a82b395a
144314d6033a2
1521b6369d81c
hex11c494a6082

1221000323202 has 144 divisors (see below), whose sum is σ = 3036985346304. Its totient is φ = 353599171200.

The previous prime is 1221000323197. The next prime is 1221000323203. The reversal of 1221000323202 is 2023230001221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1221000323203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59751927 + ... + 59772357.

It is an arithmetic number, because the mean of its divisors is an integer number (21090176016).

Almost surely, 21221000323202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221000323202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518492673152).

1221000323202 is an abundant number, since it is smaller than the sum of its proper divisors (1815985023102).

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

1221000323202 is a wasteful number, since it uses less digits than its factorization.

1221000323202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21677 (or 21663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1221000323202 its reverse (2023230001221), we get a palindrome (3244230324423).

The spelling of 1221000323202 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1193 1518 2178 2277 2386 2783 3579 4554 5566 7158 8349 10737 13123 16698 20431 21474 25047 26246 27439 39369 40862 50094 54878 61293 78738 82317 118107 122586 144353 164634 183879 224741 236214 246951 288706 301829 367758 433059 449482 469913 493902 603658 674223 866118 905487 939826 1299177 1348446 1409739 1810974 2022669 2472151 2598354 2716461 2819478 3320119 4045338 4229217 4944302 5169043 5432922 6640238 7416453 8458434 9960357 10338086 14832906 15507129 19920714 22249359 24374183 29881071 31014258 44498718 46521387 48748366 56859473 59762142 73122549 93042774 113718946 146245098 170578419 219367647 268116013 341156838 438735294 511735257 536232026 560606209 804348039 1023470514 1121212418 1608696078 1681818627 2413044117 2949276143 3363637254 4826088234 5045455881 5898552286 6166668299 8847828429 10090911762 12333336598 17695656858 18500004897 26543485287 37000009794 53086970574 55500014691 67833351289 111000029382 135666702578 203500053867 407000107734 610500161601 1221000323202