Search a number
-
+
21221313102 = 23211532022233
BaseRepresentation
bin10011110000111000…
…111000101001001110
32000202221122101212100
4103300320320221032
5321430124004402
613425434215530
71350612120333
oct236070705116
960687571770
1021221313102
118aaa9726a0
124142b845a6
132002722102
1410545a298a
158430b671c
hex4f0e38a4e

21221313102 has 48 divisors (see below), whose sum is σ = 51105897648. Its totient is φ = 6309363840.

The previous prime is 21221313083. The next prime is 21221313109. The reversal of 21221313102 is 20131312212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221313109) 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 23 ways as a sum of consecutive naturals, for example, 1000623 + ... + 1021610.

It is an arithmetic number, because the mean of its divisors is an integer number (1064706201).

Almost surely, 221221313102 is an apocalyptic number.

21221313102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21221313102 is an abundant number, since it is smaller than the sum of its proper divisors (29884584546).

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

21221313102 is a wasteful number, since it uses less digits than its factorization.

21221313102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022305 (or 2022302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21221313102 its reverse (20131312212), we get a palindrome (41352625314).

The spelling of 21221313102 in words is "twenty-one billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 2022233 4044466 6066699 12133398 18200097 22244563 36400194 44489126 66733689 107178349 133467378 200201067 214356698 321535047 400402134 643070094 964605141 1178961839 1929210282 2357923678 3536885517 7073771034 10610656551 21221313102