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113211103200 = 25352133628561
BaseRepresentation
bin110100101101111101…
…0000101011111100000
3101211012212122220212020
41221123322011133200
53323324020300300
6124001454501440
711115322333236
oct1513372053740
9354185586766
10113211103200
1144015797508
1219b36204880
13a8a2855480
14569d85c956
152e28e8a8a0
hex1a5be857e0

113211103200 has 144 divisors (see below), whose sum is σ = 396848568816. Its totient is φ = 27867340800.

The previous prime is 113211103193. The next prime is 113211103249. The reversal of 113211103200 is 2301112311.

It is a happy number.

It is a super-2 number, since 2×1132111032002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113211103200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783081 + ... + 1845480.

It is an arithmetic number, because the mean of its divisors is an integer number (2755892839).

Almost surely, 2113211103200 is an apocalyptic number.

113211103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113211103200 is an abundant number, since it is smaller than the sum of its proper divisors (283637465616).

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

113211103200 is a wasteful number, since it uses less digits than its factorization.

113211103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628597 (or 3628584 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113211103200 its reverse (2301112311), we get a palindrome (115512215511).

The spelling of 113211103200 in words is "one hundred thirteen billion, two hundred eleven million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 3628561 7257122 10885683 14514244 18142805 21771366 29028488 36285610 43542732 47171293 54428415 58056976 72571220 87085464 90714025 94342586 108856830 116113952 141513879 145142440 174170928 181428050 188685172 217713660 235856465 272142075 283027758 290284880 348341856 362856100 377370344 435427320 471712930 544284150 566055516 580569760 707569395 725712200 754740688 870854640 943425860 1088568300 1132111032 1179282325 1415138790 1451424400 1509481376 1741709280 1886851720 2177136600 2264222064 2358564650 2830277580 2902848800 3537846975 3773703440 4354273200 4528444128 4717129300 5660555160 7075693950 7547406880 8708546400 9434258600 11321110320 14151387900 18868517200 22642220640 28302775800 37737034400 56605551600 113211103200