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21420001242 = 23231367104597
BaseRepresentation
bin10011111100101110…
…110100011111011010
32001021210111210202100
4103330232310133122
5322332010014432
613501252544230
71355544002133
oct237456643732
961253453670
1021420001242
1190a2039a72
124199622076
13203493a263
141072b22c8a
1585576207c
hex4fcbb47da

21420001242 has 48 divisors (see below), whose sum is σ = 48038095872. Its totient is φ = 6890784480.

The previous prime is 21420001181. The next prime is 21420001247. The reversal of 21420001242 is 24210002412.

21420001242 is a `hidden beast` number, since 2 + 1 + 420 + 0 + 0 + 1 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21420001247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152488 + ... + 257084.

It is an arithmetic number, because the mean of its divisors is an integer number (1000793664).

Almost surely, 221420001242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21420001242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019047936).

21420001242 is an abundant number, since it is smaller than the sum of its proper divisors (26618094630).

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

21420001242 is a wasteful number, since it uses less digits than its factorization.

21420001242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105003 (or 105000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21420001242 its reverse (24210002412), we get a palindrome (45630003654).

The spelling of 21420001242 in words is "twenty-one billion, four hundred twenty million, one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 367 558 734 1101 2202 3303 6606 11377 22754 34131 68262 102393 104597 204786 209194 313791 627582 941373 1882746 3242507 6485014 9727521 19455042 29182563 38387099 58365126 76774198 115161297 230322594 345483891 690967782 1190000069 2380000138 3570000207 7140000414 10710000621 21420001242