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1323212121330 = 2351147343324851
BaseRepresentation
bin10011010000010101100…
…101101010010011110010
311200111102221001101120120
4103100111211222103302
5133134414300340310
62451513015551110
7164412300311451
oct23202545522362
94614387041516
101323212121330
11470197823540
1219454508b496
1397a170c5b88
14480882d2b98
1524646b85b70
hex1341596a4f2

1323212121330 has 128 divisors (see below), whose sum is σ = 3539293802496. Its totient is φ = 313849536000.

The previous prime is 1323212121323. The next prime is 1323212121337. The reversal of 1323212121330 is 331212123231.

It is an interprime number because it is at equal distance from previous prime (1323212121323) and next prime (1323212121337).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1323212121330.

It is not an unprimeable number, because it can be changed into a prime (1323212121337) 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 63 ways as a sum of consecutive naturals, for example, 53233405 + ... + 53258255.

It is an arithmetic number, because the mean of its divisors is an integer number (27650732832).

Almost surely, 21323212121330 is an apocalyptic number.

1323212121330 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 1323212121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769646901248).

1323212121330 is an abundant number, since it is smaller than the sum of its proper divisors (2216081681166).

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

1323212121330 is a wasteful number, since it uses less digits than its factorization.

1323212121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28352.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1323212121330 its reverse (331212123231), we get a palindrome (1654424244561).

The spelling of 1323212121330 in words is "one trillion, three hundred twenty-three billion, two hundred twelve million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 3433 5170 6866 7755 10299 15510 17165 20598 24851 34330 37763 49702 51495 74553 75526 102990 113289 124255 149106 161351 188815 226578 248510 273361 322702 372765 377630 484053 546722 566445 745530 806755 820083 968106 1132890 1167997 1366805 1613510 1640166 1774861 2335994 2420265 2733610 3503991 3549722 4100415 4840530 5324583 5839985 7007982 8200830 8874305 10649166 11679970 12847967 17519955 17748610 25695934 26622915 35039910 38543901 53245830 64239835 77087802 85313483 128479670 170626966 192719505 255940449 385439010 426567415 511880898 853134830 938448313 1279702245 1876896626 2559404490 2815344939 4009733701 4692241565 5630689878 8019467402 9384483130 12029201103 14076724695 20048668505 24058402206 28153449390 40097337010 44107070711 60146005515 88214141422 120292011030 132321212133 220535353555 264642424266 441070707110 661606060665 1323212121330