Search a number
-
+
21222210121 = 722941563647
BaseRepresentation
bin10011110000111100…
…010011101001001001
32000210000022222100021
4103300330103221021
5321430341210441
613425505340441
71350622544500
oct236074235111
960700288307
1021222210121
119000425632
124143337721
1320029774a8
141054757837
158431e23d1
hex4f0f13a49

21222210121 has 48 divisors (see below), whose sum is σ = 26248199040. Its totient is φ = 17077966080.

The previous prime is 21222210089. The next prime is 21222210133. The reversal of 21222210121 is 12101222212.

It is a happy number.

It is not a de Polignac number, because 21222210121 - 25 = 21222210089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222210095 and 21222210104.

It is not an unprimeable number, because it can be changed into a prime (21222210221) 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 47 ways as a sum of consecutive naturals, for example, 32800620 + ... + 32801266.

It is an arithmetic number, because the mean of its divisors is an integer number (546837480).

Almost surely, 221222210121 is an apocalyptic number.

It is an amenable number.

21222210121 is a deficient number, since it is larger than the sum of its proper divisors (5025988919).

21222210121 is a wasteful number, since it uses less digits than its factorization.

21222210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222210121 its reverse (12101222212), we get a palindrome (33323432333).

The spelling of 21222210121 in words is "twenty-one billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 7 29 41 49 203 287 563 647 1189 1421 2009 3941 4529 8323 16327 18763 23083 26527 27587 31703 58261 114289 131341 161581 185689 364261 669407 769283 800023 919387 1131067 1299823 2549827 4685849 5384981 10563569 14934701 17848789 32800943 37694867 73944983 104542907 433106329 517614881 731800349 3031744303 21222210121