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1223001221013 = 3311132329474899
BaseRepresentation
bin10001110011000000100…
…011011010011110010101
311022220210001120012111000
4101303000203122132111
5130014201303033023
62333501120333513
7154234052566305
oct21630043323625
94286701505430
101223001221013
1143174333a960
12179038774299
138b4369b3860
144329d253605
1521c2e18c243
hex11cc08da795

1223001221013 has 128 divisors (see below), whose sum is σ = 2297756160000. Its totient is φ = 631880282880.

The previous prime is 1223001220997. The next prime is 1223001221027. The reversal of 1223001221013 is 3101221003221.

It is not a de Polignac number, because 1223001221013 - 24 = 1223001220997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223001221033) 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 127 ways as a sum of consecutive naturals, for example, 2337838 + ... + 2812736.

It is an arithmetic number, because the mean of its divisors is an integer number (17951220000).

Almost surely, 21223001221013 is an apocalyptic number.

1223001221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1223001221013 is a deficient number, since it is larger than the sum of its proper divisors (1074754938987).

1223001221013 is a wasteful number, since it uses less digits than its factorization.

1223001221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474984 (or 474978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1223001221013 its reverse (3101221003221), we get a palindrome (4324222224234).

The spelling of 1223001221013 in words is "one trillion, two hundred twenty-three billion, one million, two hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 11 13 23 27 29 33 39 69 87 99 117 143 207 253 261 297 299 319 351 377 429 621 667 759 783 897 957 1131 1287 2001 2277 2691 2871 3289 3393 3861 4147 6003 6831 7337 8073 8613 8671 9867 10179 12441 18009 22011 26013 29601 37323 66033 78039 88803 95381 111969 198099 234117 286143 474899 858429 1424697 2575287 4274091 5223889 6173687 10922677 12822273 13772071 15671667 18521061 32768031 41316213 47015001 55563183 67910557 98304093 120149447 123948639 141045003 141994801 151492781 166689549 179036923 203731671 294912279 316757633 360448341 371845917 425984403 454478343 537110769 611195013 950272899 1081345023 1277953209 1363435029 1561942811 1611332307 1833585039 1969406153 2850818697 3244035069 3484333963 3833859627 4090305087 4117849229 4685828433 4833996921 5908218459 8552456091 10453001889 12353547687 14057485299 17724655377 31359005667 37060643061 42172455897 45296341519 53173966131 94077017001 111181929183 135889024557 407667073671 1223001221013