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113283817650 = 2355211638017
BaseRepresentation
bin110100110000000111…
…1011110000010110010
3101211101221111012100000
41221200033132002302
53324001124131100
6124013013210430
711120164363563
oct1514017360262
9354357435300
10113283817650
11440528419a3
1219b56630a16
13a8b4934683
1456a938a16a
152e30550900
hex1a603de0b2

113283817650 has 144 divisors (see below), whose sum is σ = 315939091104. Its totient is φ = 30179278080.

The previous prime is 113283817649. The next prime is 113283817681. The reversal of 113283817650 is 56718382311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 113283817596 and 113283817605.

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 71 ways as a sum of consecutive naturals, for example, 14126442 + ... + 14134458.

It is an arithmetic number, because the mean of its divisors is an integer number (2194021466).

Almost surely, 2113283817650 is an apocalyptic number.

113283817650 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 113283817650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157969545552).

113283817650 is an abundant number, since it is smaller than the sum of its proper divisors (202655273454).

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

113283817650 is a wasteful number, since it uses less digits than its factorization.

113283817650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9207 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 113283817650 in words is "one hundred thirteen billion, two hundred eighty-three million, eight hundred seventeen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1163 1215 1350 2025 2326 2430 3489 4050 5815 6075 6978 8017 10467 11630 12150 16034 17445 20934 24051 29075 31401 34890 40085 48102 52335 58150 62802 72153 80170 87225 94203 104670 120255 144306 157005 174450 188406 200425 216459 240510 261675 282609 314010 360765 400850 432918 471015 523350 565218 601275 649377 721530 785025 942030 1082295 1202550 1298754 1413045 1570050 1803825 1948131 2164590 2355075 2826090 3246885 3607650 3896262 4710150 5411475 6493770 7065225 9323771 9740655 10822950 14130450 16234425 18647542 19481310 27971313 32468850 46618855 48703275 55942626 83913939 93237710 97406550 139856565 167827878 233094275 251741817 279713130 419569695 466188550 503483634 699282825 755225451 839139390 1258709085 1398565650 1510450902 2097848475 2265676353 2517418170 3776127255 4195696950 4531352706 6293545425 7552254510 11328381765 12587090850 18880636275 22656763530 37761272550 56641908825 113283817650