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10211102220204 = 22325961617127733
BaseRepresentation
bin1001010010010111010100…
…0111101101111110101100
31100011011122021022011022200
42110211311013231332230
52314244314132021304
633414525434141500
72102504426534244
oct224456507557654
940134567264280
1010211102220204
113287560000616
12118ab91581890
13590b97612262
142743118ccb24
1512a932de8e39
hex949751edfac

10211102220204 has 144 divisors (see below), whose sum is σ = 26722637454240. Its totient is φ = 3285798405120.

The previous prime is 10211102220181. The next prime is 10211102220257. The reversal of 10211102220204 is 40202220111201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79877122 + ... + 80004854.

It is an arithmetic number, because the mean of its divisors is an integer number (185573871210).

Almost surely, 210211102220204 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 10211102220204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361318727120).

10211102220204 is an abundant number, since it is smaller than the sum of its proper divisors (16511535234036).

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

10211102220204 is a wasteful number, since it uses less digits than its factorization.

10211102220204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128480 (or 128475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10211102220204 its reverse (40202220111201), we get a palindrome (50413322331405).

The spelling of 10211102220204 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 61 118 122 177 183 236 244 354 366 531 549 617 708 732 1062 1098 1234 1851 2124 2196 2468 3599 3702 5553 7198 7404 10797 11106 14396 21594 22212 32391 36403 37637 43188 64782 72806 75274 109209 112911 127733 129564 145612 150548 218418 225822 255466 327627 338733 383199 436836 451644 510932 655254 677466 766398 1149597 1310508 1354932 1532796 2220583 2299194 4441166 4598388 6661749 7536247 7791713 8882332 13323498 15072494 15583426 19985247 22608741 23375139 26646996 30144988 31166852 39970494 45217482 46750278 67826223 70125417 78811261 79940988 90434964 93500556 135652446 140250834 157622522 236433783 271304892 280501668 315245044 459711067 472867566 709301349 919422134 945735132 1379133201 1418602698 1838844268 2758266402 2837205396 4137399603 4649864399 4807486921 5516532804 8274799206 9299728798 9614973842 13949593197 14422460763 16549598412 18599457596 19229947684 27899186394 28844921526 41848779591 43267382289 55798372788 57689843052 83697559182 86534764578 167395118364 173069529156 283641728339 567283456678 850925185017 1134566913356 1701850370034 2552775555051 3403700740068 5105551110102 10211102220204