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20221100031301 = 1310194122697213
BaseRepresentation
bin1001001100100000101110…
…11110111111110101000101
32122121010012020011211122221
410212100113132333311011
510122300303102000201
6111001240051052341
74154632465206061
oct446202736776505
978533166154587
1020221100031301
1164967a1894034
122326b995a10b1
13b38ac2b6c820
144dc9c6770aa1
15250ee59164a1
hex1264177bfd45

20221100031301 has 32 divisors (see below), whose sum is σ = 22028306237280. Its totient is φ = 18450488448000.

The previous prime is 20221100031287. The next prime is 20221100031311. The reversal of 20221100031301 is 10313000112202.

It can be written as a sum of positive squares in 16 ways, for example, as 2297316176100 + 17923783855201 = 1515690^2 + 4233649^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221100031301 - 217 = 20221099900229 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 (20221100031311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803420771 + ... + 2803427983.

It is an arithmetic number, because the mean of its divisors is an integer number (688384569915).

Almost surely, 220221100031301 is an apocalyptic number.

It is an amenable number.

20221100031301 is a deficient number, since it is larger than the sum of its proper divisors (1807206205979).

20221100031301 is a wasteful number, since it uses less digits than its factorization.

20221100031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20221100031301 its reverse (10313000112202), we get a palindrome (30534100143503).

The spelling of 20221100031301 in words is "twenty trillion, two hundred twenty-one billion, one hundred million, thirty-one thousand, three hundred one".

Divisors: 1 13 101 941 1313 2269 7213 12233 29497 93769 95041 229169 728513 1235533 2135129 2979197 6787433 9470669 16366297 27756677 88236629 212761861 215648029 685530733 1652995997 2803424377 8911899529 15400685477 21488947961 200208911201 1555469233177 20221100031301