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102414110300 = 225222320532237
BaseRepresentation
bin101111101100001011…
…0110100111001011100
3100210100102012212000022
41133120112310321130
53134221003012200
6115014241451312
710253626400645
oct1373026647134
9323312185008
10102414110300
113a485105987
1217a22340b38
1398719c8a88
144d579146cc
1529e614b885
hex17d85b4e5c

102414110300 has 72 divisors (see below), whose sum is σ = 223443782016. Its totient is φ = 40743855360.

The previous prime is 102414110273. The next prime is 102414110317. The reversal of 102414110300 is 3011414201.

It is a happy number.

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, 45780782 + ... + 45783018.

Almost surely, 2102414110300 is an apocalyptic number.

102414110300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414110300 is an abundant number, since it is smaller than the sum of its proper divisors (121029671716).

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

102414110300 is a wasteful number, since it uses less digits than its factorization.

102414110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102414110300 its reverse (3011414201), we get a palindrome (105425524501).

The spelling of 102414110300 in words is "one hundred two billion, four hundred fourteen million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 446 892 1115 2053 2230 2237 4106 4460 4474 5575 8212 8948 10265 11150 11185 20530 22300 22370 41060 44740 51325 55925 102650 111850 205300 223700 457819 498851 915638 997702 1831276 1995404 2289095 2494255 4578190 4592561 4988510 9156380 9185122 9977020 11445475 12471275 18370244 22890950 22962805 24942550 45781900 45925610 49885100 91851220 114814025 229628050 459256100 1024141103 2048282206 4096564412 5120705515 10241411030 20482822060 25603527575 51207055150 102414110300