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14530130100 = 22325235944971
BaseRepresentation
bin11011000100001000…
…00011000010110100
31101111122000002100200
431202010003002310
5214224203130400
610401451040500
71023033032223
oct154204030264
941448002320
1014530130100
116186974892
122996140130
1314a73b3225
149bba72cba
155a094db00
hex3621030b4

14530130100 has 108 divisors (see below), whose sum is σ = 45671764320. Its totient is φ = 3863822400.

The previous prime is 14530130099. The next prime is 14530130107. The reversal of 14530130100 is 103103541.

14530130100 is a `hidden beast` number, since 1 + 4 + 530 + 1 + 30 + 100 = 666.

It is a super-2 number, since 2×145301301002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530130107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300615 + ... + 345585.

Almost surely, 214530130100 is an apocalyptic number.

14530130100 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 14530130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835882160).

14530130100 is an abundant number, since it is smaller than the sum of its proper divisors (31141634220).

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

14530130100 is a wasteful number, since it uses less digits than its factorization.

14530130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45350 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 14530130100 its reverse (103103541), we get a palindrome (14633233641).

The spelling of 14530130100 in words is "fourteen billion, five hundred thirty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 359 450 718 900 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 8975 10770 12924 16155 17950 21540 26925 32310 35900 44971 53850 64620 80775 89942 107700 134913 161550 179884 224855 269826 323100 404739 449710 539652 674565 809478 899420 1124275 1349130 1618956 2023695 2248550 2698260 3372825 4047390 4497100 6745650 8094780 10118475 13491300 16144589 20236950 32289178 40473900 48433767 64578356 80722945 96867534 145301301 161445890 193735068 242168835 290602602 322891780 403614725 484337670 581205204 726506505 807229450 968675340 1210844175 1453013010 1614458900 2421688350 2906026020 3632532525 4843376700 7265065050 14530130100