Search a number
-
+
21220133210988 = 223227457116314657
BaseRepresentation
bin1001101001100101100101…
…00000001000101101101100
32210010121212120100201000020
410310302302200020231230
510240132313100222423
6113044221123202140
74320050453135025
oct464626240105554
983117776321006
1021220133210988
116841453a98578
12246872b816350
13bac085a4752a
145350ba625c4c
1526beb73524e3
hex134cb2808b6c

21220133210988 has 96 divisors (see below), whose sum is σ = 49886846763264. Its totient is φ = 7020286844928.

The previous prime is 21220133210987. The next prime is 21220133211041. The reversal of 21220133210988 is 88901233102212.

It is a super-2 number, since 2×212201332109882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21220133210987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447774156 + ... + 1447788812.

It is an arithmetic number, because the mean of its divisors is an integer number (519654653784).

Almost surely, 221220133210988 is an apocalyptic number.

It is an amenable number.

21220133210988 is an abundant number, since it is smaller than the sum of its proper divisors (28666713552276).

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

21220133210988 is a wasteful number, since it uses less digits than its factorization.

21220133210988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16509 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 21220133210988 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-three million, two hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 227 454 457 681 908 914 1163 1362 1371 1828 2326 2724 2742 3489 4652 5484 6978 13956 14657 29314 43971 58628 87942 103739 175884 207478 264001 311217 414956 528002 531491 622434 792003 1056004 1062982 1244868 1584006 1594473 2125964 3168012 3188946 3327139 6377892 6654278 6698249 9981417 13308556 13396498 17046091 19962834 20094747 26792996 34092182 39925668 40189494 51138273 68184364 80378988 102276546 120648457 204553092 241296914 361945371 482593828 723890742 1447781484 1520502523 3041005046 3869462657 4561507569 6082010092 7738925314 7790063587 9123015138 11608387971 15477850628 15580127174 18246030276 23216775942 23370190761 31160254348 46433551884 46740381522 93480763044 1768344434249 3536688868498 5305033302747 7073377736996 10610066605494 21220133210988