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233034122112 = 27311173245239
BaseRepresentation
bin1101100100000111101…
…0101000001110000000
3211021111112210221221120
43121001322220032000
512304223213401422
6255015425552240
722556542232631
oct3310172501600
9737445727846
10233034122112
118a913761070
12391b67a5680
1318c8a184aac
14b3c9495888
1560dd63245c
hex3641ea8380

233034122112 has 128 divisors (see below), whose sum is σ = 714991276800. Its totient is φ = 66462474240.

The previous prime is 233034122077. The next prime is 233034122159. The reversal of 233034122112 is 211221430332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550812 + ... + 1694427.

It is an arithmetic number, because the mean of its divisors is an integer number (5585869350).

Almost surely, 2233034122112 is an apocalyptic number.

233034122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233034122112 is an abundant number, since it is smaller than the sum of its proper divisors (481957154688).

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

233034122112 is a wasteful number, since it uses less digits than its factorization.

233034122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245284 (or 3245272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233034122112 its reverse (211221430332), we get a palindrome (444255552444).

The spelling of 233034122112 in words is "two hundred thirty-three billion, thirty-four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 71808 3245239 6490478 9735717 12980956 19471434 25961912 35697629 38942868 51923824 55169063 71395258 77885736 103847648 107092887 110338126 142790516 155771472 165507189 207695296 214185774 220676252 285581032 311542944 331014378 415390592 428371548 441352504 571162064 606859693 623085888 662028756 856743096 882705008 1142324128 1213719386 1246171776 1324057512 1713486192 1765410016 1820579079 2284648256 2427438772 2648115024 3426972384 3530820032 3641158158 4569296512 4854877544 5296230048 6853944768 7061640064 7282316316 9709755088 10592460096 13707889536 14564632632 19419510176 21184920192 29129265264 38839020352 58258530528 77678040704 116517061056 233034122112