Search a number
-
+
10020101121212 = 22713257521205589
BaseRepresentation
bin1001000111001111110010…
…0100010110010010111100
31022110220122002001000022012
42101303330210112102330
52303132131341334322
633151100525510352
72052633306143240
oct221637444262274
938426562030265
1010020101121212
11321355694a996
121159b677123b8
13578b7877a0a0
14268d92a18420
151259a49d5ae2
hex91cfc9164bc

10020101121212 has 96 divisors (see below), whose sum is σ = 21707422450560. Its totient is φ = 3940973936640.

The previous prime is 10020101121181. The next prime is 10020101121257. The reversal of 10020101121212 is 21212110102001.

10020101121212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100201011212123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48635714 + ... + 48841302.

It is an arithmetic number, because the mean of its divisors is an integer number (226118983860).

Almost surely, 210020101121212 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 10020101121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853711225280).

10020101121212 is an abundant number, since it is smaller than the sum of its proper divisors (11687321329348).

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

10020101121212 is a wasteful number, since it uses less digits than its factorization.

10020101121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206391 (or 206389 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10020101121212 its reverse (21212110102001), we get a palindrome (31232211223213).

The spelling of 10020101121212 in words is "ten trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 257 364 514 521 1028 1042 1799 2084 3341 3598 3647 6682 6773 7196 7294 13364 13546 14588 23387 27092 46774 47411 93548 94822 133897 189644 205589 267794 411178 535588 822356 937279 1439123 1740661 1874558 2672657 2878246 3481322 3749116 5345314 5756492 6962644 10690628 12184627 18708599 24369254 37417198 48738508 52836373 74834396 105672746 107111869 211345492 214223738 369854611 428447476 686872849 739709222 749783083 1373745698 1392454297 1479418444 1499566166 2747491396 2784908594 2999132332 4808109943 5569817188 9616219886 9747180079 19232439772 19494360158 27527750333 38988720316 55055500666 110111001332 192694252331 357860754329 385388504662 715721508658 770777009324 1431443017316 2505025280303 5010050560606 10020101121212