Search a number
-
+
112311545520 = 24352039229507
BaseRepresentation
bin110100010011001001…
…0100010111010110000
3101201220011222122201010
41220212102202322300
53320003223424040
6123332322110520
711054120246136
oct1504622427260
9351804878633
10112311545520
11436a3a37509
1219924aab440
13a78b385215
1456161b9756
152dc4ee9e80
hex1a264a2eb0

112311545520 has 80 divisors (see below), whose sum is σ = 348338062080. Its totient is φ = 29934926592.

The previous prime is 112311545519. The next prime is 112311545537. The reversal of 112311545520 is 25545113211.

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

It is a super-3 number, since 3×1123115455203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 374607 + ... + 604113.

It is an arithmetic number, because the mean of its divisors is an integer number (4354225776).

Almost surely, 2112311545520 is an apocalyptic number.

112311545520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112311545520 is an abundant number, since it is smaller than the sum of its proper divisors (236026516560).

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

112311545520 is a wasteful number, since it uses less digits than its factorization.

112311545520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231562 (or 231556 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 112311545520 its reverse (25545113211), we get a palindrome (137856658731).

The spelling of 112311545520 in words is "one hundred twelve billion, three hundred eleven million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2039 4078 6117 8156 10195 12234 16312 20390 24468 30585 32624 40780 48936 61170 81560 97872 122340 163120 229507 244680 459014 489360 688521 918028 1147535 1377042 1836056 2295070 2754084 3442605 3672112 4590140 5508168 6885210 9180280 11016336 13770420 18360560 27540840 55081680 467964773 935929546 1403894319 1871859092 2339823865 2807788638 3743718184 4679647730 5615577276 7019471595 7487436368 9359295460 11231154552 14038943190 18718590920 22462309104 28077886380 37437181840 56155772760 112311545520