Search a number
-
+
20112010212012 = 22317197826960521
BaseRepresentation
bin1001001001010101100010…
…01110010111001010101100
32122012200121120102211111120
410210222301032113022230
510114003344103241022
6110435155133420540
74144021235065515
oct444526116271254
978180546384446
1020112010212012
11645450149a194
122309a1363a750
13b2b7290c21b4
144d75d83d7a0c
1524d25d6abd5c
hex124ab13972ac

20112010212012 has 96 divisors (see below), whose sum is σ = 49947586476480. Its totient is φ = 6276758691840.

The previous prime is 20112010211989. The next prime is 20112010212031. The reversal of 20112010212012 is 21021201021102.

It is a junction number, because it is equal to n+sod(n) for n = 20112010211982 and 20112010212000.

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, 332284312 + ... + 332344832.

It is an arithmetic number, because the mean of its divisors is an integer number (520287359130).

Almost surely, 220112010212012 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 20112010212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24973793238240).

20112010212012 is an abundant number, since it is smaller than the sum of its proper divisors (29835576264468).

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

20112010212012 is a wasteful number, since it uses less digits than its factorization.

20112010212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69011 (or 69009 counting only the distinct ones).

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

Adding to 20112010212012 its reverse (21021201021102), we get a palindrome (41133211233114).

The spelling of 20112010212012 in words is "twenty trillion, one hundred twelve billion, ten million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 1182 2364 3349 6698 8269 10047 13396 16538 20094 24807 33076 40188 49614 60521 99228 121042 140573 181563 242084 281146 363126 421719 562292 726252 843438 1028857 1628993 1686876 2057714 3086571 3257986 4115428 4886979 6173142 6515972 9773958 11922637 12346284 19547916 23845274 27692881 35767911 47690548 55385762 71535822 83078643 110771524 143071644 166157286 202684829 332314572 405369658 500448149 608054487 810739316 1000896298 1216108974 1501344447 2001792596 2432217948 3002688894 6005377788 8507618533 17015237066 25522855599 34030474132 51045711198 98588285353 102091422396 197176570706 295764856059 394353141412 591529712118 1183059424236 1676000851001 3352001702002 5028002553003 6704003404004 10056005106006 20112010212012