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21121131330 = 232513171061897
BaseRepresentation
bin10011101010111010…
…101110001101000010
32000111222010122022100
4103222322232031002
5321224002200310
613411455051230
71345254440235
oct235272561502
960458118270
1021121131330
118a59367642
124115510b16
131cb7a46960
14104516541c
158393c7ec0
hex4eaeae342

21121131330 has 96 divisors (see below), whose sum is σ = 62618001264. Its totient is φ = 4893216768.

The previous prime is 21121131307. The next prime is 21121131337. The reversal of 21121131330 is 3313112112.

It can be written as a sum of positive squares in 8 ways, for example, as 5638057569 + 15483073761 = 75087^2 + 124431^2 .

It is a super-2 number, since 2×211211313302 (a number of 21 digits) contains 22 as substring.

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 (21121131337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511059 + ... + 550838.

Almost surely, 221121131330 is an apocalyptic number.

21121131330 is an abundant number, since it is smaller than the sum of its proper divisors (41496869934).

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

21121131330 is a wasteful number, since it uses less digits than its factorization.

21121131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061940 (or 1061937 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21121131330 its reverse (3313112112), we get a palindrome (24434243442).

The spelling of 21121131330 in words is "twenty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 1061897 2123794 3185691 5309485 6371382 9557073 10618970 13804661 15928455 18052249 19114146 27609322 31856910 36104498 41413983 47785365 54156747 69023305 82827966 90261245 95570730 108313494 124241949 138046610 162470241 180522490 207069915 234679237 248483898 270783735 324940482 414139830 469358474 541567470 621209745 704037711 812351205 1173396185 1242419490 1408075422 1624702410 2112113133 2346792370 3520188555 4224226266 7040377110 10560565665 21121131330