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111345560304 = 243117326910739
BaseRepresentation
bin110011110110010110…
…1100110101011110000
3101122101212022112002220
41213230231212223300
53311013430412204
6123052413441040
711021150434536
oct1475455465360
9348355275086
10111345560304
1143248736520
12196b54a0180
13a6661c7534
145563ba4156
152d6a2d71d9
hex19ecb66af0

111345560304 has 160 divisors (see below), whose sum is σ = 319302777600. Its totient is φ = 33152071680.

The previous prime is 111345560303. The next prime is 111345560317. The reversal of 111345560304 is 403065543111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111345560303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10362967 + ... + 10373705.

It is an arithmetic number, because the mean of its divisors is an integer number (1995642360).

Almost surely, 2111345560304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111345560304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159651388800).

111345560304 is an abundant number, since it is smaller than the sum of its proper divisors (207957217296).

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

111345560304 is a wasteful number, since it uses less digits than its factorization.

111345560304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 111345560304 in words is "one hundred eleven billion, three hundred forty-five million, five hundred sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 269 292 438 528 538 584 803 807 876 1076 1168 1606 1614 1752 2152 2409 2959 3212 3228 3504 4304 4818 5918 6424 6456 8877 9636 10739 11836 12848 12912 17754 19272 19637 21478 23672 32217 35508 38544 39274 42956 47344 58911 64434 71016 78548 85912 117822 118129 128868 142032 157096 171824 216007 235644 236258 257736 314192 354387 432014 471288 472516 515472 648021 708774 783947 864028 942576 945032 1296042 1417548 1567894 1728056 1890064 2351841 2592084 2835096 2888791 3135788 3456112 4703682 5184168 5670192 5777582 6271576 8623417 8666373 9407364 10368336 11555164 12543152 17246834 17332746 18814728 23110328 25870251 31776701 34493668 34665492 37629456 46220656 51740502 63553402 68987336 69330984 95330103 103481004 127106804 137974672 138661968 190660206 206962008 210881743 254213608 381320412 413924016 421763486 508427216 632645229 762640824 843526972 1265290458 1525281648 1687053944 2319699173 2530580916 3374107888 4639398346 5061161832 6959097519 9278796692 10122323664 13918195038 18557593384 27836390076 37115186768 55672780152 111345560304