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34000020101 = 47218238443
BaseRepresentation
bin11111101010100011…
…110010001010000101
310020202112000222101202
4133222203302022011
51024113001120401
623341442232245
72312360255015
oct375243621205
9106675028352
1034000020101
1113468141373
12670a655685
13328acc29b8
1419077a5c45
15d3eda506b
hex7ea8f2285

34000020101 has 12 divisors (see below), whose sum is σ = 34761988992. Its totient is φ = 33254422488.

The previous prime is 34000020091. The next prime is 34000020121. The reversal of 34000020101 is 10102000043.

It is a happy number.

It is not a de Polignac number, because 34000020101 - 230 = 32926278277 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 (34000020121) 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, 4022786 + ... + 4031228.

It is an arithmetic number, because the mean of its divisors is an integer number (2896832416).

Almost surely, 234000020101 is an apocalyptic number.

It is an amenable number.

34000020101 is a deficient number, since it is larger than the sum of its proper divisors (761968891).

34000020101 is an equidigital number, since it uses as much as digits as its factorization.

34000020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 34000020101 its reverse (10102000043), we get a palindrome (44102020144).

The spelling of 34000020101 in words is "thirty-four billion, twenty thousand, one hundred one".

Divisors: 1 47 1823 2209 8443 85681 396821 4027007 15391589 18650587 723404683 34000020101