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102314103300 = 223252237147947
BaseRepresentation
bin101111101001001100…
…1010101001000000100
3100210002110000222012100
41133102121111020010
53134014402301200
6115000310152100
710251303346233
oct1372231251004
9323073028170
10102314103300
113a43370a172
12179b4952630
139857082036
144d48520b1a
1529dc494d00
hex17d2655204

102314103300 has 108 divisors (see below), whose sum is σ = 320839822576. Its totient is φ = 27271684800.

The previous prime is 102314103299. The next prime is 102314103313. The reversal of 102314103300 is 3301413201.

102314103300 is a `hidden beast` number, since 10 + 2 + 314 + 10 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2109927 + ... + 2157873.

Almost surely, 2102314103300 is an apocalyptic number.

102314103300 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 102314103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160419911288).

102314103300 is an abundant number, since it is smaller than the sum of its proper divisors (218525719276).

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

102314103300 is a wasteful number, since it uses less digits than its factorization.

102314103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50338 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102314103300 its reverse (3301413201), we get a palindrome (105615516501).

The spelling of 102314103300 in words is "one hundred two billion, three hundred fourteen million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2371 4742 7113 9484 11855 14226 21339 23710 28452 35565 42678 47420 47947 59275 71130 85356 95894 106695 118550 142260 143841 177825 191788 213390 237100 239735 287682 355650 426780 431523 479470 533475 575364 711300 719205 863046 958940 1066950 1198675 1438410 1726092 2133900 2157615 2397350 2876820 3596025 4315230 4794700 7192050 8630460 10788075 14384100 21576150 43152300 113682337 227364674 341047011 454729348 568411685 682094022 1023141033 1136823370 1364188044 1705235055 2046282066 2273646740 2842058425 3410470110 4092564132 5115705165 5684116850 6820940220 8526175275 10231410330 11368233700 17052350550 20462820660 25578525825 34104701100 51157051650 102314103300