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10022021210120 = 23529173290317203
BaseRepresentation
bin1001000111010110111100…
…0000111010000000001000
31022111002120220000122010012
42101311233000322000020
52303200044412210440
633152015240011052
72053032012502133
oct221655700720010
938432526018105
1010022021210120
113214351777127
12115a402760a88
135790c34c567a
142690d5a3121a
15125a68360e65
hex91d6f03a008

10022021210120 has 128 divisors (see below), whose sum is σ = 23471403436800. Its totient is φ = 3846651239424.

The previous prime is 10022021210039. The next prime is 10022021210137. The reversal of 10022021210120 is 2101212022001.

It is a junction number, because it is equal to n+sod(n) for n = 10022021210095 and 10022021210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582565439 + ... + 582582641.

It is an arithmetic number, because the mean of its divisors is an integer number (183370339350).

Almost surely, 210022021210120 is an apocalyptic number.

10022021210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022021210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735701718400).

10022021210120 is an abundant number, since it is smaller than the sum of its proper divisors (13449382226680).

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

10022021210120 is a wasteful number, since it uses less digits than its factorization.

10022021210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20319 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022021210120 its reverse (2101212022001), we get a palindrome (12123233232121).

The spelling of 10022021210120 in words is "ten trillion, twenty-two billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 2903 3460 5017 5806 6920 10034 11612 14515 17203 20068 23224 25085 29030 34406 40136 50170 58060 68812 84187 86015 100340 116120 137624 168374 172030 200680 336748 344060 420935 498887 502219 673496 688120 841870 997774 1004438 1683740 1995548 2008876 2494435 2511095 2976119 3367480 3991096 4017752 4988870 5022190 5952238 9977740 10044380 11904476 14564351 14880595 19955480 20088760 23808952 29128702 29761190 49940309 58257404 59522380 72821755 86307451 99880618 116514808 119044760 145643510 172614902 199761236 249701545 291287020 345229804 399522472 431537255 499403090 582574040 690459608 863074510 998806180 1448268961 1726149020 1997612360 2896537922 3452298040 5793075844 7241344805 8639673457 11586151688 14482689610 17279346914 28965379220 34558693828 43198367285 57930758440 69117387656 86396734570 172793469140 250550530253 345586938280 501101060506 1002202121012 1252752651265 2004404242024 2505505302530 5011010605060 10022021210120