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233103213112 = 237111367276821
BaseRepresentation
bin1101100100011000001…
…0001100001000111000
3211021200100211010222111
43121012002030020320
512304343410304422
6255030334502104
722561341422260
oct3310602141070
9737610733874
10233103213112
118a949761170
1239215964934
1318c9b595943
14b3d471c7a0
1560e472da77
hex364608c238

233103213112 has 64 divisors (see below), whose sum is σ = 545317194240. Its totient is φ = 90752668800.

The previous prime is 233103213029. The next prime is 233103213163. The reversal of 233103213112 is 211312301332.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 703662 + ... + 980482.

It is an arithmetic number, because the mean of its divisors is an integer number (8520581160).

Almost surely, 2233103213112 is an apocalyptic number.

233103213112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233103213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272658597120).

233103213112 is an abundant number, since it is smaller than the sum of its proper divisors (312213981128).

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

233103213112 is a wasteful number, since it uses less digits than its factorization.

233103213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278212 (or 278208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233103213112 its reverse (211312301332), we get a palindrome (444415514444).

The spelling of 233103213112 in words is "two hundred thirty-three billion, one hundred three million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1367 2734 5468 9569 10936 15037 19138 30074 38276 60148 76552 105259 120296 210518 276821 421036 553642 842072 1107284 1937747 2214568 3045031 3875494 6090062 7750988 12180124 15501976 21315217 24360248 42630434 85260868 170521736 378414307 756828614 1513657228 2648900149 3027314456 4162557377 5297800298 8325114754 10595600596 16650229508 21191201192 29137901639 33300459016 58275803278 116551606556 233103213112