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23122042420 = 2253133693617
BaseRepresentation
bin10101100010001011…
…100101111000110100
32012200102012110022111
4111202023211320310
5334323220324140
614342213340404
71445662055251
oct254213457064
965612173274
1023122042420
119895876774
124593637704
13224644c909
141194bba428
15904dba7ea
hex5622e5e34

23122042420 has 24 divisors (see below), whose sum is σ = 48711434184. Its totient is φ = 9219265536.

The previous prime is 23122042409. The next prime is 23122042421. The reversal of 23122042420 is 2424022132.

It can be written as a sum of positive squares in 4 ways, for example, as 64834704 + 23057207716 = 8052^2 + 151846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23122042391 and 23122042400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1840549 + ... + 1853068.

It is an arithmetic number, because the mean of its divisors is an integer number (2029643091).

Almost surely, 223122042420 is an apocalyptic number.

23122042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122042420 is an abundant number, since it is smaller than the sum of its proper divisors (25589391764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23122042420 is a wasteful number, since it uses less digits than its factorization.

23122042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693939 (or 3693937 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23122042420 its reverse (2424022132), we get a palindrome (25546064552).

The spelling of 23122042420 in words is "twenty-three billion, one hundred twenty-two million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 3693617 7387234 14774468 18468085 36936170 73872340 1156102121 2312204242 4624408484 5780510605 11561021210 23122042420