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21121203330 = 2335373401523
BaseRepresentation
bin10011101010111010…
…111111110010000010
32000111222021022002000
4103222322333302002
5321224012001310
613411500404430
71345255160163
oct235272776202
960458238060
1021121203330
118a59406747
124115546716
131cb7a70666
14104518376a
158393de4c0
hex4eaebfc82

21121203330 has 128 divisors (see below), whose sum is σ = 56723293440. Its totient is φ = 5592499200.

The previous prime is 21121203293. The next prime is 21121203331. The reversal of 21121203330 is 3330212112.

21121203330 is a `hidden beast` number, since 211 + 2 + 120 + 3 + 330 = 666.

It is a super-2 number, since 2×211212033302 (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 not an unprimeable number, because it can be changed into a prime (21121203331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40384449 + ... + 40384971.

It is an arithmetic number, because the mean of its divisors is an integer number (443150730).

Almost surely, 221121203330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28361646720).

21121203330 is an abundant number, since it is smaller than the sum of its proper divisors (35602090110).

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

21121203330 is a wasteful number, since it uses less digits than its factorization.

21121203330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21121203330 its reverse (3330212112), we get a palindrome (24451415442).

The spelling of 21121203330 in words is "twenty-one billion, one hundred twenty-one million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 373 401 523 746 802 1046 1119 1203 1569 1865 2005 2238 2406 2615 3138 3357 3609 3730 4010 4707 5230 5595 6015 6714 7218 7845 9414 10071 10827 11190 12030 14121 15690 16785 18045 20142 21654 23535 28242 33570 36090 47070 50355 54135 70605 100710 108270 141210 149573 195079 209723 299146 390158 419446 448719 585237 629169 747865 897438 975395 1048615 1170474 1258338 1346157 1495730 1755711 1887507 1950790 2097230 2243595 2692314 2926185 3145845 3511422 3775014 4038471 4487190 5267133 5662521 5852370 6291690 6730785 8076942 8778555 9437535 10534266 11325042 13461570 17557110 18875070 20192355 26335665 28312605 40384710 52671330 56625210 78226679 156453358 234680037 391133395 469360074 704040111 782266790 1173400185 1408080222 2112120333 2346800370 3520200555 4224240666 7040401110 10560601665 21121203330