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113244122400 = 25352445110601
BaseRepresentation
bin110100101110111100…
…0000010110100100000
3101211022011210110200120
41221131320002310200
53323410443404100
6124005034320240
711116203105153
oct1513570026440
9354264713616
10113244122400
114403239a302
1219b45289080
13a8a9646766
1456a3db5c9a
152e2bd0e0a0
hex1a5de02d20

113244122400 has 144 divisors (see below), whose sum is σ = 368727212448. Its totient is φ = 30188800000.

The previous prime is 113244122399. The next prime is 113244122401. The reversal of 113244122400 is 4221442311.

It is an interprime number because it is at equal distance from previous prime (113244122399) and next prime (113244122401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113244122401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10677100 + ... + 10687700.

It is an arithmetic number, because the mean of its divisors is an integer number (2560605642).

Almost surely, 2113244122400 is an apocalyptic number.

113244122400 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 113244122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184363606224).

113244122400 is an abundant number, since it is smaller than the sum of its proper divisors (255483090048).

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

113244122400 is a wasteful number, since it uses less digits than its factorization.

113244122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15075 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113244122400 its reverse (4221442311), we get a palindrome (117465564711).

The spelling of 113244122400 in words is "one hundred thirteen billion, two hundred forty-four million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4451 8902 10601 13353 17804 21202 22255 26706 31803 35608 42404 44510 53005 53412 63606 66765 71216 84808 89020 106010 106824 111275 127212 133530 142432 159015 169616 178040 212020 213648 222550 254424 265025 267060 318030 333825 339232 356080 424040 427296 445100 508848 530050 534120 636060 667650 712160 795075 848080 890200 1017696 1060100 1068240 1272120 1335300 1590150 1696160 1780400 2120200 2136480 2544240 2670600 3180300 3560800 4240400 5088480 5341200 6360600 8480800 10682400 12721200 25442400 47185051 94370102 141555153 188740204 235925255 283110306 377480408 471850510 566220612 707775765 754960816 943701020 1132441224 1179626275 1415551530 1509921632 1887402040 2264882448 2359252550 2831103060 3538878825 3774804080 4529764896 4718505100 5662206120 7077757650 7549608160 9437010200 11324412240 14155515300 18874020400 22648824480 28311030600 37748040800 56622061200 113244122400