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113200343120 = 2456740152667
BaseRepresentation
bin110100101101101000…
…1000010100001010000
3101211012010102020210202
41221123101002201100
53323313241434440
6124000432114332
711115132016604
oct1513321024120
9354163366722
10113200343120
114400a708287
1219b326959a8
13a8a0558967
14569c25b504
152e28062615
hex1a5b442850

113200343120 has 80 divisors (see below), whose sum is σ = 267790235328. Its totient is φ = 44492236800.

The previous prime is 113200343119. The next prime is 113200343141. The reversal of 113200343120 is 21343002311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113200343092 and 113200343101.

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, 2123027 + ... + 2175693.

Almost surely, 2113200343120 is an apocalyptic number.

113200343120 is a gapful number since it is divisible by the number (10) 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 113200343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133895117664).

113200343120 is an abundant number, since it is smaller than the sum of its proper divisors (154589892208).

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

113200343120 is a wasteful number, since it uses less digits than its factorization.

113200343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53148 (or 53142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113200343120 its reverse (21343002311), we get a palindrome (134543345431).

The spelling of 113200343120 in words is "one hundred thirteen billion, two hundred million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 401 536 670 802 1072 1340 1604 2005 2680 3208 4010 5360 6416 8020 16040 26867 32080 52667 53734 105334 107468 134335 210668 214936 263335 268670 421336 429872 526670 537340 842672 1053340 1074680 2106680 2149360 3528689 4213360 7057378 14114756 17643445 21119467 28229512 35286890 42238934 56459024 70573780 84477868 105597335 141147560 168955736 211194670 282295120 337911472 422389340 844778680 1415004289 1689557360 2830008578 5660017156 7075021445 11320034312 14150042890 22640068624 28300085780 56600171560 113200343120