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20421214242 = 231113197120817
BaseRepresentation
bin10011000001001100…
…110000000000100010
31221201012010011120020
4103001030300000202
5313310312323432
613214213254310
71322025312522
oct230114600042
957635104506
1020421214242
11872a274570
123b5b034396
131c05a36230
14dba20d682
157e7c2022c
hex4c1330022

20421214242 has 64 divisors (see below), whose sum is σ = 48226679424. Its totient is φ = 5683184640.

The previous prime is 20421214241. The next prime is 20421214243. The reversal of 20421214242 is 24241212402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20421214241) and next prime (20421214243).

It is a super-2 number, since 2×204212142422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20421214241) 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, 108618 + ... + 229434.

It is an arithmetic number, because the mean of its divisors is an integer number (753541866).

Almost surely, 220421214242 is an apocalyptic number.

20421214242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24113339712).

20421214242 is an abundant number, since it is smaller than the sum of its proper divisors (27805465182).

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

20421214242 is a wasteful number, since it uses less digits than its factorization.

20421214242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121043.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20421214242 its reverse (24241212402), we get a palindrome (44662426644).

The spelling of 20421214242 in words is "twenty billion, four hundred twenty-one million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 197 286 394 429 591 858 1182 2167 2561 4334 5122 6501 7683 13002 15366 28171 56342 84513 120817 169026 241634 362451 724902 1328987 1570621 2657974 3141242 3986961 4711863 7973922 9423726 17276831 23800949 34553662 47601898 51830493 71402847 103660986 142805694 261810439 309412337 523620878 618824674 785431317 928237011 1570862634 1856474022 3403535707 6807071414 10210607121 20421214242