Search a number
-
+
21220122330 = 232511171260851
BaseRepresentation
bin10011110000110100…
…010101111011011010
32000202212101220102200
4103300310111323122
5321424322403310
613425352511030
71350566030601
oct236064257332
960685356380
1021220122330
118aaa229a90
1241426ab476
1320023c6104
141054372a38
15842e2d9c0
hex4f0d15eda

21220122330 has 96 divisors (see below), whose sum is σ = 63728503488. Its totient is φ = 4841664000.

The previous prime is 21220122323. The next prime is 21220122337. The reversal of 21220122330 is 3322102212.

21220122330 is a `hidden beast` number, since 212 + 2 + 0 + 122 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (21220122323) and next prime (21220122337).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21220122337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613596 + ... + 647255.

It is an arithmetic number, because the mean of its divisors is an integer number (663838578).

Almost surely, 221220122330 is an apocalyptic number.

21220122330 is an abundant number, since it is smaller than the sum of its proper divisors (42508381158).

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

21220122330 is a wasteful number, since it uses less digits than its factorization.

21220122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260892 (or 1260889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220122330 its reverse (3322102212), we get a palindrome (24542224542).

The spelling of 21220122330 in words is "twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 1260851 2521702 3782553 6304255 7565106 11347659 12608510 13869361 18912765 21434467 22695318 27738722 37825530 41608083 42868934 56738295 64303401 69346805 83216166 107172335 113476590 124824249 128606802 138693610 192910203 208040415 214344670 235779137 249648498 321517005 385820406 416080830 471558274 624121245 643034010 707337411 964551015 1178895685 1248242490 1414674822 1929102030 2122012233 2357791370 3536687055 4244024466 7073374110 10610061165 21220122330