Search a number
-
+
20221131010121 = 1716349571472143
BaseRepresentation
bin1001001100100000110010…
…10101001011000001001001
32122121010021101110201121122
410212100121111023001021
510122300334014310441
6111001243115045025
74154633322422246
oct446203125130111
978533241421548
1020221131010121
116496808322968
122326ba7a40775
13b38ac93c81a2
144dc9ca9165cd
15250ee84d534b
hex12641954b049

20221131010121 has 16 divisors (see below), whose sum is σ = 21546323138304. Its totient is φ = 18911065469184.

The previous prime is 20221131010063. The next prime is 20221131010127. The reversal of 20221131010121 is 12101013112202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20221131010121 - 222 = 20221126815817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20221131010121.

It is not an unprimeable number, because it can be changed into a prime (20221131010127) 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 15 ways as a sum of consecutive naturals, for example, 12999776 + ... + 14471918.

It is an arithmetic number, because the mean of its divisors is an integer number (1346645196144).

Almost surely, 220221131010121 is an apocalyptic number.

It is an amenable number.

20221131010121 is a deficient number, since it is larger than the sum of its proper divisors (1325192128183).

20221131010121 is a wasteful number, since it uses less digits than its factorization.

20221131010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477280.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20221131010121 its reverse (12101013112202), we get a palindrome (32322144122323).

The spelling of 20221131010121 in words is "twenty trillion, two hundred twenty-one billion, one hundred thirty-one million, ten thousand, one hundred twenty-one".

Divisors: 1 17 163 2771 4957 84269 807991 1472143 13735847 25026431 239959309 4079308253 7297412851 124056018467 1189478294713 20221131010121