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1221231330 = 234511413343
BaseRepresentation
bin100100011001010…
…1000001011100010
310011002221222110000
41020302220023202
510000113400310
6321103120430
742156203124
oct11062501342
93132858400
101221231330
115773981a0
122a0ba3116
131660191b7
14b8299214
15723314c0
hex48ca82e2

1221231330 has 160 divisors (see below), whose sum is σ = 3670748928. Its totient is φ = 288748800.

The previous prime is 1221231317. The next prime is 1221231331. The reversal of 1221231330 is 331321221.

It is a super-2 number, since 2×12212313302 = 2982811922747137800, which 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 (1221231331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363639 + ... + 366981.

Almost surely, 21221231330 is an apocalyptic number.

1221231330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835374464).

1221231330 is an abundant number, since it is smaller than the sum of its proper divisors (2449517598).

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

1221231330 is a wasteful number, since it uses less digits than its factorization.

1221231330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3405 counting only the distinct ones).

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

The square root of 1221231330 is about 34946.1203855306. The cubic root of 1221231330 is about 1068.8890936234.

Adding to 1221231330 its reverse (331321221), we get a palindrome (1552552551).

The spelling of 1221231330 in words is "one billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 81 82 90 99 110 123 135 162 165 198 205 246 270 297 330 369 405 410 451 495 594 615 738 810 891 902 990 1107 1230 1353 1485 1782 1845 2214 2255 2706 2970 3321 3343 3690 4059 4455 4510 5535 6642 6686 6765 8118 8910 10029 11070 12177 13530 16605 16715 20058 20295 24354 30087 33210 33430 36531 36773 40590 50145 60174 60885 73062 73546 90261 100290 110319 121770 137063 150435 180522 182655 183865 220638 270783 274126 300870 330957 365310 367730 411189 451305 541566 551595 661914 685315 822378 902610 992871 1103190 1233567 1353915 1370630 1507693 1654785 1985742 2055945 2467134 2707830 2978613 3015386 3309570 3700701 4111890 4523079 4964355 5957226 6167835 7401402 7538465 9046158 9928710 11102103 12335670 13569237 14893065 15076930 18503505 22204206 22615395 27138474 29786130 37007010 40707711 45230790 55510515 67846185 81415422 111021030 122123133 135692370 203538555 244246266 407077110 610615665 1221231330