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113052505200 = 24352461204361
BaseRepresentation
bin110100101001001110…
…1000101010001110000
3101210210211020022022020
41221102131011101300
53323012420131300
6123534031311440
711111355303345
oct1512235052160
9353724208266
10113052505200
1143a44212488
1219ab107b580
13a878a35bbb
1456867767cc
152e1a0ad8a0
hex1a52745470

113052505200 has 120 divisors (see below), whose sum is σ = 362932197936. Its totient is φ = 30081792000.

The previous prime is 113052505193. The next prime is 113052505201. The reversal of 113052505200 is 2505250311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113052505201) 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, 451020 + ... + 655380.

Almost surely, 2113052505200 is an apocalyptic number.

113052505200 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 113052505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181466098968).

113052505200 is an abundant number, since it is smaller than the sum of its proper divisors (249879692736).

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

113052505200 is a wasteful number, since it uses less digits than its factorization.

113052505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204843 (or 204832 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 113052505200 its reverse (2505250311), we get a palindrome (115557755511).

The spelling of 113052505200 in words is "one hundred thirteen billion, fifty-two million, five hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 461 600 922 1200 1383 1844 2305 2766 3688 4610 5532 6915 7376 9220 11064 11525 13830 18440 22128 23050 27660 34575 36880 46100 55320 69150 92200 110640 138300 184400 204361 276600 408722 553200 613083 817444 1021805 1226166 1634888 2043610 2452332 3065415 3269776 4087220 4904664 5109025 6130830 8174440 9809328 10218050 12261660 15327075 16348880 20436100 24523320 30654150 40872200 49046640 61308300 81744400 94210421 122616600 188420842 245233200 282631263 376841684 471052105 565262526 753683368 942104210 1130525052 1413156315 1507366736 1884208420 2261050104 2355260525 2826312630 3768416840 4522100208 4710521050 5652625260 7065781575 7536833680 9421042100 11305250520 14131563150 18842084200 22610501040 28263126300 37684168400 56526252600 113052505200