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100421413032420 = 22325557896739069
BaseRepresentation
bin10110110101010100101110…
…101001101101000111100100
3111011120012012221021122121100
4112311110232221231013210
5101130301023214014140
6553324543230320100
730103131141622224
oct2665245651550744
9434505187248540
10100421413032420
1129aa7533748787
12b31a414059030
134405910b2156c
141ab25cac02084
15b922d1000530
hex5b552ea6d1e4

100421413032420 has 36 divisors (see below), whose sum is σ = 304611619532220. Its totient is φ = 26779043475264.

The previous prime is 100421413032407. The next prime is 100421413032433. The reversal of 100421413032420 is 24230314124001.

100421413032420 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 1 + 413 + 0 + 3 + 242 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100421413032407) and next prime (100421413032433).

It can be written as a sum of positive squares in 2 ways, for example, as 46997359233444 + 53424053798976 = 6855462^2 + 7309176^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278948369355 + ... + 278948369714.

It is an arithmetic number, because the mean of its divisors is an integer number (8461433875895).

Almost surely, 2100421413032420 is an apocalyptic number.

100421413032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100421413032420 is an abundant number, since it is smaller than the sum of its proper divisors (204190206499800).

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

100421413032420 is a wasteful number, since it uses less digits than its factorization.

100421413032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557896739084 (or 557896739079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100421413032420 its reverse (24230314124001), we get a palindrome (124651727156421).

The spelling of 100421413032420 in words is "one hundred trillion, four hundred twenty-one billion, four hundred thirteen million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557896739069 1115793478138 1673690217207 2231586956276 2789483695345 3347380434414 5021070651621 5578967390690 6694760868828 8368451086035 10042141303242 11157934781380 16736902172070 20084282606484 25105353258105 33473804344140 50210706516210 100421413032420