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1330303303230 = 2351141320330697
BaseRepresentation
bin10011010110111100010…
…000010111111000111110
311201011202010100202102020
4103112330100113320332
5133243430121200410
62455044412341010
7165053104335246
oct23267420277076
94634663322366
101330303303230
114731a6596450
121959a3a74766
13985a72759b5
144855bdc6b26
152490e4b1a70
hex135bc417e3e

1330303303230 has 128 divisors (see below), whose sum is σ = 3569156752896. Its totient is φ = 314523494400.

The previous prime is 1330303303207. The next prime is 1330303303337. The reversal of 1330303303230 is 323033030331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1330303303230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43321242 + ... + 43351938.

It is an arithmetic number, because the mean of its divisors is an integer number (27884037132).

Almost surely, 21330303303230 is an apocalyptic number.

1330303303230 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 1330303303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784578376448).

1330303303230 is an abundant number, since it is smaller than the sum of its proper divisors (2238853449666).

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

1330303303230 is a wasteful number, since it uses less digits than its factorization.

1330303303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33962.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 1330303303230 its reverse (323033030331), we get a palindrome (1653336333561).

The spelling of 1330303303230 in words is "one trillion, three hundred thirty billion, three hundred three million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 3203 4510 6406 6765 9609 13530 16015 19218 30697 32030 35233 48045 61394 70466 92091 96090 105699 131323 153485 176165 184182 211398 262646 306970 337667 352330 393969 460455 528495 656615 675334 787938 920910 1013001 1056990 1258577 1313230 1444553 1688335 1969845 2026002 2517154 2889106 3376670 3775731 3939690 4333659 5065005 6292885 7222765 7551462 8667318 10130010 12585770 13844347 14445530 18878655 21668295 27688694 37757310 41533041 43336590 69221735 83066082 98322491 138443470 196644982 207665205 294967473 415330410 491612455 589934946 983224910 1081547401 1474837365 2163094802 2949674730 3244642203 4031222131 5407737005 6489284406 8062444262 10815474010 12093666393 16223211015 20156110655 24187332786 32446422030 40312221310 44343443441 60468331965 88686886882 120936663930 133030330323 221717217205 266060660646 443434434410 665151651615 1330303303230