Search a number
-
+
2421002001242 = 211217588478853
BaseRepresentation
bin100011001110101110111…
…101101101101101011010
322120110000210101102111202
4203032232331231231122
5304131203003014432
65052105402554202
7336624454320266
oct43165675555532
98513023342452
102421002001242
11853817572600
12331258808962
131473b8038386
148526a0470a6
1542e985bb462
hex233aef6db5a

2421002001242 has 24 divisors (see below), whose sum is σ = 4226455129428. Its totient is φ = 1035722779520.

The previous prime is 2421002001227. The next prime is 2421002001247.

2421002001242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2395000761241 + 26001240001 = 1547579^2 + 161249^2 .

It is a super-2 number, since 2×24210020012422 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2421002001247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294235313 + ... + 294243540.

Almost surely, 22421002001242 is an apocalyptic number.

2421002001242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2421002001242 is a deficient number, since it is larger than the sum of its proper divisors (1805453128186).

2421002001242 is a wasteful number, since it uses less digits than its factorization.

2421002001242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588478894 (or 588478883 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 2421002001242 in words is "two trillion, four hundred twenty-one billion, two million, one thousand, two hundred forty-two".

Divisors: 1 2 11 17 22 34 121 187 242 374 2057 4114 588478853 1176957706 6473267383 10004140501 12946534766 20008281002 71205941213 110045545511 142411882426 220091091022 1210501000621 2421002001242