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233001301104 = 2432111311315137
BaseRepresentation
bin1101100011111111110…
…1011011010001110000
3211021102021001110222200
43120333331123101300
512304141313113404
6255012254303200
722555663244565
oct3307775332160
9737367043880
10233001301104
118a8a7184170
12391a77b7b00
1318c83432a90
14b3c4d9086c
1560da7ec839
hex363ff5b470

233001301104 has 120 divisors (see below), whose sum is σ = 766080103152. Its totient is φ = 65175183360.

The previous prime is 233001301103. The next prime is 233001301111. The reversal of 233001301104 is 401103100332.

233001301104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233001301103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5636977 + ... + 5678160.

Almost surely, 2233001301104 is an apocalyptic number.

233001301104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233001301104 is an abundant number, since it is smaller than the sum of its proper divisors (533078802048).

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

233001301104 is a wasteful number, since it uses less digits than its factorization.

233001301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315175 (or 11315166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233001301104 its reverse (401103100332), we get a palindrome (634104401436).

The spelling of 233001301104 in words is "two hundred thirty-three billion, one million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 11315137 22630274 33945411 45260548 67890822 90521096 101836233 124466507 135781644 147096781 181042192 203672466 248933014 271563288 294193562 373399521 407344932 441290343 497866028 543126576 588387124 746799042 814689864 882580686 995732056 1120198563 1176774248 1323871029 1493598084 1618064591 1629379728 1765161372 1991464112 2240397126 2353548496 2647742058 2987196168 3236129182 3530322744 4480794252 4854193773 5295484116 5974392336 6472258364 7060645488 8961588504 9708387546 10590968232 12944516728 14562581319 17923177008 19416775092 21181936464 25889033456 29125162638 38833550184 58250325276 77667100368 116500650552 233001301104