Search a number
-
+
10021201120212 = 22317743132749823
BaseRepresentation
bin1001000111010011111000…
…1000100000101111010100
31022111000110201212202020220
42101310332020200233110
52303141404441321322
633151402022354340
72053002464033352
oct221647610405724
938430421782226
1010021201120212
113213a70864477
12115a213b8b9b0
13578cc262a479
14269058b567d2
15125a1b36b55c
hex91d3e220bd4

10021201120212 has 96 divisors (see below), whose sum is σ = 24810764009472. Its totient is φ = 3137245902336.

The previous prime is 10021201120211. The next prime is 10021201120223. The reversal of 10021201120212 is 21202110212001.

It is a junction number, because it is equal to n+sod(n) for n = 10021201120191 and 10021201120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021201120211) 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, 201111133 + ... + 201160955.

It is an arithmetic number, because the mean of its divisors is an integer number (258445458432).

Almost surely, 210021201120212 is an apocalyptic number.

10021201120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021201120212 is an abundant number, since it is smaller than the sum of its proper divisors (14789562889260).

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

10021201120212 is a wasteful number, since it uses less digits than its factorization.

10021201120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51917 (or 51915 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10021201120212 its reverse (21202110212001), we get a palindrome (31223311332213).

The spelling of 10021201120212 in words is "ten trillion, twenty-one billion, two hundred one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 743 1327 1486 2229 2654 2972 3981 4458 5308 7962 8916 12631 15924 22559 25262 37893 45118 49823 50524 67677 75786 90236 99646 135354 149469 151572 199292 270708 298938 597876 846991 985961 1693982 1971922 2540973 2957883 3387964 3943844 5081946 5915766 10163892 11831532 16761337 33522674 37018489 50284011 66115121 67045348 74036978 100568022 111055467 132230242 148073956 198345363 201136044 222110934 264460484 396690726 444221868 629314313 793381452 1123957057 1258628626 1887942939 2247914114 2517257252 3371871171 3775885878 4495828228 6743742342 7551771756 13487484684 49123534903 98247069806 147370604709 196494139612 294741209418 589482418836 835100093351 1670200186702 2505300280053 3340400373404 5010600560106 10021201120212