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10020210000112 = 2413674218631979
BaseRepresentation
bin1001000111010000001100…
…0011101100000011110000
31022110220220122220122002001
42101310003003230003300
52303132342230000422
633151115415303344
72052636100455364
oct221640303540360
938426818818061
1010020210000112
113213602356254
121159b9807ab54
13578b951ac080
14268da327b2a4
151259ae341227
hex91d030ec0f0

10020210000112 has 160 divisors (see below), whose sum is σ = 21305416366080. Its totient is φ = 4537305400320.

The previous prime is 10020210000107. The next prime is 10020210000121. The reversal of 10020210000112 is 21100001202001.

It is a congruent number.

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, 5063268339 + ... + 5063270317.

It is an arithmetic number, because the mean of its divisors is an integer number (133158852288).

Almost surely, 210020210000112 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 10020210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652708183040).

10020210000112 is an abundant number, since it is smaller than the sum of its proper divisors (11285206365968).

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

10020210000112 is a wasteful number, since it uses less digits than its factorization.

10020210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10020210000112 its reverse (21100001202001), we get a palindrome (31120211202113).

The spelling of 10020210000112 in words is "ten trillion, twenty billion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 421 536 842 863 871 1072 1684 1726 1742 1979 3368 3452 3484 3958 5473 6736 6904 6968 7916 10946 11219 13808 13936 15832 21892 22438 25727 28207 31664 43784 44876 51454 56414 57821 87568 89752 102908 112828 115642 132593 179504 205816 225656 231284 265186 363323 366691 411632 451312 462568 530372 726646 733382 751673 833159 925136 1060744 1453292 1466764 1503346 1666318 1707877 1723709 2121488 2906584 2933528 3006692 3332636 3415754 3447418 4723199 5813168 5867056 6013384 6665272 6831508 6894836 9446398 10831067 12026768 13330544 13663016 13789672 18892796 21662134 22202401 24342641 27326032 27579344 37785592 43324268 44404802 48685282 55821653 75571184 86648536 88809604 97370564 111643306 114427759 173297072 177619208 194741128 223286612 228855518 316454333 355238416 389482256 446573224 457711036 632908666 719016217 725681489 893146448 915422072 1265817332 1438032434 1451362978 1487560867 1830844144 2531634664 2876064868 2902725956 2975121734 5063269328 5752129736 5805451912 5950243468 9347210821 11504259472 11610903824 11900486936 18694421642 23800973872 37388843284 48174086539 74777686568 96348173078 149555373136 192696346156 385392692312 626263125007 770785384624 1252526250014 2505052500028 5010105000056 10020210000112