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20023122101 = 121722817213
BaseRepresentation
bin10010101001011110…
…001001100010110101
31220200110000222210212
4102221132021202311
5312001404401401
613110512555205
71306122505163
oct225136114265
956613028725
1020023122101
118545591aa4
123a69852b05
131b71412158
14d7d3c4233
157c2cd6dbb
hex4a97898b5

20023122101 has 8 divisors (see below), whose sum is σ = 20051139864. Its totient is φ = 19995125760.

The previous prime is 20023122073. The next prime is 20023122103. The reversal of 20023122101 is 10122132002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5277877201 + 14745244900 = 72649^2 + 121430^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20023122101 - 26 = 20023122037 is a prime.

It is a super-3 number, since 3×200231221013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023122103) 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, 2772371 + ... + 2779583.

It is an arithmetic number, because the mean of its divisors is an integer number (2506392483).

Almost surely, 220023122101 is an apocalyptic number.

It is an amenable number.

20023122101 is a deficient number, since it is larger than the sum of its proper divisors (28017763).

20023122101 is a wasteful number, since it uses less digits than its factorization.

20023122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20023122101 its reverse (10122132002), we get a palindrome (30145254103).

Subtracting from 20023122101 its reverse (10122132002), we obtain a palindrome (9900990099).

The spelling of 20023122101 in words is "twenty billion, twenty-three million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 1217 2281 7213 2775977 8778221 16452853 20023122101