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34042100401 = 311098132271
BaseRepresentation
bin11111101101000100…
…010011101010110001
310020212110012212201101
4133231010103222301
51024204234203101
623345544204401
72313411036061
oct375504235261
9106773185641
1034042100401
1113489972981
126720769701
13329693739a
14190d1db3a1
15d43918401
hex7ed113ab1

34042100401 has 4 divisors (see below), whose sum is σ = 35140232704. Its totient is φ = 32943968100.

The previous prime is 34042100363. The next prime is 34042100447. The reversal of 34042100401 is 10400124043.

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 a cyclic number.

It is not a de Polignac number, because 34042100401 - 219 = 34041576113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34042100201) 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 3 ways as a sum of consecutive naturals, for example, 549066105 + ... + 549066166.

It is an arithmetic number, because the mean of its divisors is an integer number (8785058176).

Almost surely, 234042100401 is an apocalyptic number.

34042100401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34042100401 is a deficient number, since it is larger than the sum of its proper divisors (1098132303).

34042100401 is a wasteful number, since it uses less digits than its factorization.

34042100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098132302.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34042100401 its reverse (10400124043), we get a palindrome (44442224444).

The spelling of 34042100401 in words is "thirty-four billion, forty-two million, one hundred thousand, four hundred one".

Divisors: 1 31 1098132271 34042100401