Search a number
-
+
42120100101 = 314040033367
BaseRepresentation
bin100111001110100011…
…011011100100000101
311000201102101210002110
4213032203123210011
51142230221200401
631203311531233
73020526641442
oct471643334405
9130642353073
1042120100101
1116954775692
1281b5b29b19
133c8338a271
142077daa9c9
151167bbe9d6
hex9ce8db905

42120100101 has 4 divisors (see below), whose sum is σ = 56160133472. Its totient is φ = 28080066732.

The previous prime is 42120100093. The next prime is 42120100111. The reversal of 42120100101 is 10100102124.

It is a happy number.

42120100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 42120100101 - 23 = 42120100093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120100111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7020016681 + ... + 7020016686.

It is an arithmetic number, because the mean of its divisors is an integer number (14040033368).

Almost surely, 242120100101 is an apocalyptic number.

It is an amenable number.

42120100101 is a deficient number, since it is larger than the sum of its proper divisors (14040033371).

42120100101 is a wasteful number, since it uses less digits than its factorization.

42120100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14040033370.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 42120100101 its reverse (10100102124), we get a palindrome (52220202225).

The spelling of 42120100101 in words is "forty-two billion, one hundred twenty million, one hundred thousand, one hundred one".

Divisors: 1 3 14040033367 42120100101