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112503123680 = 2552365346817
BaseRepresentation
bin110100011000110110…
…1010110111011100000
3101202101112110211112112
41220301231112323200
53320401244424210
6123403324214452
711061634526063
oct1506155267340
9352345424475
10112503123680
1143792097a72
121997909a428
13a7bbc8108c
1456338088da
152dd6c3dd05
hex1a31b56ee0

112503123680 has 96 divisors (see below), whose sum is σ = 277775313984. Its totient is φ = 42977837056.

The previous prime is 112503123679. The next prime is 112503123721. The reversal of 112503123680 is 86321305211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379632 + ... + 2426448.

It is an arithmetic number, because the mean of its divisors is an integer number (2893492854).

Almost surely, 2112503123680 is an apocalyptic number.

112503123680 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 112503123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138887656992).

112503123680 is an abundant number, since it is smaller than the sum of its proper divisors (165272190304).

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

112503123680 is a wasteful number, since it uses less digits than its factorization.

112503123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47508 (or 47500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 112503123680 its reverse (86321305211), we get a palindrome (198824428891).

The spelling of 112503123680 in words is "one hundred twelve billion, five hundred three million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 653 736 920 1306 1840 2612 3265 3680 5224 6530 10448 13060 15019 20896 26120 30038 46817 52240 60076 75095 93634 104480 120152 150190 187268 234085 240304 300380 374536 468170 480608 600760 749072 936340 1076791 1201520 1498144 1872680 2153582 2403040 3745360 4307164 5383955 7490720 8614328 10767910 17228656 21535820 30571501 34457312 43071640 61143002 86143280 122286004 152857505 172286560 244572008 305715010 489144016 611430020 703144523 978288032 1222860040 1406289046 2445720080 2812578092 3515722615 4891440160 5625156184 7031445230 11250312368 14062890460 22500624736 28125780920 56251561840 112503123680