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21301023222 = 2331761834583
BaseRepresentation
bin10011110101101000…
…111101000111110110
32000222111122002121000
4103311220331013312
5322111030220342
613441402504130
71352600465343
oct236550750766
960874562530
1021301023222
119040966026
124165805046
1320160b056b
141060dd17ca
1584a0ae44c
hex4f5a3d1f6

21301023222 has 128 divisors (see below), whose sum is σ = 51566699520. Its totient is φ = 6492510720.

The previous prime is 21301023209. The next prime is 21301023257. The reversal of 21301023222 is 22232010312.

It is a super-2 number, since 2×213010232222 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21301023195 and 21301023204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4645543 + ... + 4650125.

It is an arithmetic number, because the mean of its divisors is an integer number (402864840).

Almost surely, 221301023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783349760).

21301023222 is an abundant number, since it is smaller than the sum of its proper divisors (30265676298).

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

21301023222 is a wasteful number, since it uses less digits than its factorization.

21301023222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4749 counting only the distinct ones).

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

Adding to 21301023222 its reverse (22232010312), we get a palindrome (43533033534).

The spelling of 21301023222 in words is "twenty-one billion, three hundred one million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 83 102 122 153 166 183 249 306 366 459 498 549 747 918 1037 1098 1411 1494 1647 2074 2241 2822 3111 3294 4233 4482 4583 5063 6222 8466 9166 9333 10126 12699 13749 15189 18666 25398 27498 27999 30378 38097 41247 45567 55998 76194 77911 82494 86071 91134 123741 136701 155822 172142 233733 247482 258213 273402 279563 380389 467466 516426 559126 701199 760778 774639 838689 1141167 1402398 1549278 1677378 2103597 2282334 2323917 2516067 3423501 4207194 4647834 4752571 5032134 6466613 6847002 7548201 9505142 10270503 12933226 14257713 15096402 19399839 20541006 23203729 28515426 38799678 42773139 46407458 58199517 69611187 85546278 116399034 128319417 139222374 174598551 208833561 256638834 349197102 394463393 417667122 626500683 788926786 1183390179 1253001366 2366780358 3550170537 7100341074 10650511611 21301023222