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112413102450 = 235211167407959
BaseRepresentation
bin110100010110001010…
…1111101000101110010
3101202011021002021121220
41220230111331011302
53320210223234300
6123350350525510
711056462414365
oct1505425750562
9352137067556
10112413102450
11437462a1760
1219952b06896
13a7a642258c
1456258940dc
152dcddaada0
hex1a2c57d172

112413102450 has 96 divisors (see below), whose sum is σ = 305950417920. Its totient is φ = 27088411200.

The previous prime is 112413102419. The next prime is 112413102457. The reversal of 112413102450 is 54201314211.

112413102450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112413102450.

It is not an unprimeable number, because it can be changed into a prime (112413102457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 71571 + ... + 479529.

It is an arithmetic number, because the mean of its divisors is an integer number (3186983520).

Almost surely, 2112413102450 is an apocalyptic number.

112413102450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112413102450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152975208960).

112413102450 is an abundant number, since it is smaller than the sum of its proper divisors (193537315470).

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

112413102450 is a wasteful number, since it uses less digits than its factorization.

112413102450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408152 (or 408147 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112413102450 its reverse (54201314211), we get a palindrome (166614416661).

The spelling of 112413102450 in words is "one hundred twelve billion, four hundred thirteen million, one hundred two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 167 275 330 334 501 550 825 835 1002 1650 1670 1837 2505 3674 4175 5010 5511 8350 9185 11022 12525 18370 25050 27555 45925 55110 91850 137775 275550 407959 815918 1223877 2039795 2447754 4079590 4487549 6119385 8975098 10198975 12238770 13462647 20397950 22437745 26925294 30596925 44875490 61193850 67313235 68129153 112188725 134626470 136258306 204387459 224377450 336566175 340645765 408774918 673132350 681291530 749420683 1021937295 1498841366 1703228825 2043874590 2248262049 3406457650 3747103415 4496524098 5109686475 7494206830 10219372950 11241310245 18735517075 22482620490 37471034150 56206551225 112413102450