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34002244101 = 37443910753
BaseRepresentation
bin11111101010101100…
…010001001000000101
310020202200012222011010
4133222230101020011
51024114033302401
623342002032433
72312415210000
oct375254211005
9106680188133
1034002244101
1113469420291
12670b348719
13328b5c1087
141907bc4537
15d40193ed6
hex7eab11205

34002244101 has 40 divisors (see below), whose sum is σ = 53014639040. Its totient is φ = 19383791616.

The previous prime is 34002244091. The next prime is 34002244121. The reversal of 34002244101 is 10144220043.

It is not a de Polignac number, because 34002244101 - 25 = 34002244069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002244121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3156741 + ... + 3167493.

It is an arithmetic number, because the mean of its divisors is an integer number (1325365976).

Almost surely, 234002244101 is an apocalyptic number.

It is an amenable number.

34002244101 is a deficient number, since it is larger than the sum of its proper divisors (19012394939).

34002244101 is an equidigital number, since it uses as much as digits as its factorization.

34002244101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34002244101 its reverse (10144220043), we get a palindrome (44146464144).

The spelling of 34002244101 in words is "thirty-four billion, two million, two hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 21 49 147 343 439 1029 1317 2401 3073 7203 9219 10753 21511 32259 64533 75271 150577 225813 451731 526897 1054039 1580691 3162117 3688279 4720567 11064837 14161701 25817953 33043969 77453859 99131907 231307783 693923349 1619154481 4857463443 11334081367 34002244101