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10010120010212 = 2271778728199479
BaseRepresentation
bin1001000110101010100110…
…1001011011100111100100
31022102221212110211001000102
42101222221221123213210
52303001211210311322
633142330300003232
72052131051122250
oct221525151334744
938387773731012
1010010120010212
11320a2a4867523
121158040b30518
13577c4797444a
142686c71b1260
151255bd609792
hex91aa9a5b9e4

10010120010212 has 96 divisors (see below), whose sum is σ = 21234605414400. Its totient is φ = 4030709211648.

The previous prime is 10010120010119. The next prime is 10010120010217. The reversal of 10010120010212 is 21201002101001.

10010120010212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10010120010193 and 10010120010202.

It is not an unprimeable number, because it can be changed into a prime (10010120010217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056026489 + ... + 1056035967.

It is an arithmetic number, because the mean of its divisors is an integer number (221193806400).

Almost surely, 210010120010212 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 10010120010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617302707200).

10010120010212 is an abundant number, since it is smaller than the sum of its proper divisors (11224485404188).

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

10010120010212 is a wasteful number, since it uses less digits than its factorization.

10010120010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10010120010212 its reverse (21201002101001), we get a palindrome (31211122111213).

The spelling of 10010120010212 in words is "ten trillion, ten billion, one hundred twenty million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 787 1574 2819 3148 5509 5638 9479 11018 11276 13379 18958 19733 22036 26758 37916 39466 47923 53516 66353 78932 93653 95846 132706 161143 187306 191692 265412 322286 335461 374612 644572 670922 1128001 1341844 2218553 2256002 4437106 4512004 7459973 8874212 14919946 15529871 26721301 29839892 31059742 37715401 52219811 53442602 62119484 75430802 104439622 106885204 126819541 150861604 187049107 208879244 253639082 264007807 374098214 454262117 507278164 528015614 748196428 887736787 908524234 1056031228 1775473574 1817048468 3179834819 3550947148 6359669638 12719339276 21029663887 42059327774 84118655548 147207647209 294415294418 357504286079 588830588836 715008572158 1430017144316 2502530002553 5005060005106 10010120010212