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113231141120 = 285175203637
BaseRepresentation
bin110100101110100011…
…0100001100100000000
3101211021021100221201102
41221131012201210000
53323344133003440
6124003452153532
711115654550646
oct1513506414400
9354237327642
10113231141120
1144026033279
1219b40a688a8
13a8a6a4cc26
1456a2397196
152e2aae7b15
hex1a5d1a1900

113231141120 has 72 divisors (see below), whose sum is σ = 287178373944. Its totient is φ = 42628186112.

The previous prime is 113231141113. The next prime is 113231141129. The reversal of 113231141120 is 21141132311.

It can be written as a sum of positive squares in 4 ways, for example, as 63996856576 + 49234284544 = 252976^2 + 221888^2 .

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 = 113231141092 and 113231141101.

It is not an unprimeable number, because it can be changed into a prime (113231141129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580059 + ... + 2623578.

It is an arithmetic number, because the mean of its divisors is an integer number (3988588527).

Almost surely, 2113231141120 is an apocalyptic number.

113231141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113231141120 is an abundant number, since it is smaller than the sum of its proper divisors (173947232824).

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

113231141120 is an equidigital number, since it uses as much as digits as its factorization.

113231141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203675 (or 5203661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 113231141120 its reverse (21141132311), we get a palindrome (134372273431).

The spelling of 113231141120 in words is "one hundred thirteen billion, two hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 5203637 10407274 20814548 26018185 41629096 52036370 83258192 88461829 104072740 166516384 176923658 208145480 333032768 353847316 416290960 442309145 666065536 707694632 832581920 884618290 1332131072 1415389264 1665163840 1769236580 2830778528 3330327680 3538473160 5661557056 6660655360 7076946320 11323114112 14153892640 22646228224 28307785280 56615570560 113231141120