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22121322210 = 23351347134093
BaseRepresentation
bin10100100110100010…
…001001011011100010
32010002200011121021000
4110212202021123202
5330301024302320
614055024412430
71412121064521
oct244642113342
963080147230
1022121322210
119421a00879
124354477116
13211701c990
1410dbd224b8
158970e5c90
hex5268896e2

22121322210 has 128 divisors (see below), whose sum is σ = 64880040960. Its totient is φ = 5329352448.

The previous prime is 22121322187. The next prime is 22121322221. The reversal of 22121322210 is 1222312122.

22121322210 is a `hidden beast` number, since 221 + 213 + 22 + 210 = 666.

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

It is a Curzon 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, 97924 + ... + 232016.

It is an arithmetic number, because the mean of its divisors is an integer number (506875320).

Almost surely, 222121322210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121322210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32440020480).

22121322210 is an abundant number, since it is smaller than the sum of its proper divisors (42758718750).

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

22121322210 is a wasteful number, since it uses less digits than its factorization.

22121322210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134169 (or 134163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22121322210 its reverse (1222312122), we get a palindrome (23343634332).

The spelling of 22121322210 in words is "twenty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3055 3510 3666 4230 5499 6110 6345 9165 10998 12690 16497 18330 27495 32994 54990 82485 134093 164970 268186 402279 670465 804558 1206837 1340930 1743209 2011395 2413674 3486418 3620511 4022790 5229627 6034185 6302371 7241022 8716045 10459254 12068370 12604742 15688881 17432090 18102555 18907113 26148135 31377762 31511855 36205110 37814226 47066643 52296270 56721339 63023710 78444405 81930823 94133286 94535565 113442678 156888810 163861646 170164017 189071130 235333215 245792469 283606695 340328034 409654115 470666430 491584938 567213390 737377407 819308230 850820085 1228962345 1474754814 1701640170 2212132221 2457924690 3686887035 4424264442 7373774070 11060661105 22121322210