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414101132300 = 225239710430759
BaseRepresentation
bin1100000011010100101…
…10011101010000001100
31110120212102100010000002
412001222112131100030
523241034342213200
6514122504223432
741626545355622
oct6015226352014
91416772303002
10414101132300
1114a68a325849
126830976ab78
1330084b991cb
1416084c83512
15ab89856bd5
hex606a59d40c

414101132300 has 36 divisors (see below), whose sum is σ = 900863018160. Its totient is φ = 165223206720.

The previous prime is 414101132293. The next prime is 414101132309. The reversal of 414101132300 is 3231101414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (414101132309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5175680 + ... + 5255079.

Almost surely, 2414101132300 is an apocalyptic number.

It is an amenable number.

414101132300 is an abundant number, since it is smaller than the sum of its proper divisors (486761885860).

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

414101132300 is a wasteful number, since it uses less digits than its factorization.

414101132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431170 (or 10431163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 414101132300 its reverse (3231101414), we get a palindrome (417332233714).

The spelling of 414101132300 in words is "four hundred fourteen billion, one hundred one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700 10430759 20861518 41723036 52153795 104307590 208615180 260768975 521537950 1043075900 4141011323 8282022646 16564045292 20705056615 41410113230 82820226460 103525283075 207050566150 414101132300