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112503211300 = 22525328175541
BaseRepresentation
bin110100011000110110…
…1101100010100100100
3101202101112122021201201
41220301231230110210
53320401310230200
6123403330132244
711061635342404
oct1506155542444
9352345567651
10112503211300
1143792147887
1219979121084
13a7bbcb1c1c
14563382c804
152dd6c59c6a
hex1a31b6c524

112503211300 has 72 divisors (see below), whose sum is σ = 249626725992. Its totient is φ = 43994496000.

The previous prime is 112503211297. The next prime is 112503211343. The reversal of 112503211300 is 3112305211.

It can be written as a sum of positive squares in 12 ways, for example, as 11790919396 + 100712291904 = 108586^2 + 317352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451530 + ... + 1527070.

It is an arithmetic number, because the mean of its divisors is an integer number (3467037861).

Almost surely, 2112503211300 is an apocalyptic number.

112503211300 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 112503211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124813362996).

112503211300 is an abundant number, since it is smaller than the sum of its proper divisors (137123514692).

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

112503211300 is a wasteful number, since it uses less digits than its factorization.

112503211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75889 (or 75882 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 112503211300 its reverse (3112305211), we get a palindrome (115615516511).

The spelling of 112503211300 in words is "one hundred twelve billion, five hundred three million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 281 530 562 1060 1124 1325 1405 2650 2810 5300 5620 7025 14050 14893 28100 29786 59572 74465 75541 148930 151082 297860 302164 372325 377705 744650 755410 1489300 1510820 1888525 3777050 4003673 7554100 8007346 16014692 20018365 21227021 40036730 42454042 80073460 84908084 100091825 106135105 200183650 212270210 400367300 424540420 530675525 1061351050 1125032113 2122702100 2250064226 4500128452 5625160565 11250321130 22500642260 28125802825 56251605650 112503211300