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100420245443024 = 24133891241104477
BaseRepresentation
bin10110110101010011101001…
…000011101101000111010000
3111011120002012120020222001122
4112311103221003231013100
5101130241130313134044
6553324231321021412
730103060203362423
oct2665235103550720
9434502176228048
10100420245443024
1129aa6a94669571
12b31a149024868
134405785c67370
141ab2519b0b9ba
15b92263767dee
hex5b54e90ed1d0

100420245443024 has 40 divisors (see below), whose sum is σ = 210069343946280. Its totient is φ = 46228659522048.

The previous prime is 100420245442969. The next prime is 100420245443153. The reversal of 100420245443024 is 420344542024001.

100420245443024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 432885043600 + 99987360399424 = 657940^2 + 9999368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620471327 + ... + 620633150.

It is an arithmetic number, because the mean of its divisors is an integer number (5251733598657).

Almost surely, 2100420245443024 is an apocalyptic number.

It is an amenable number.

100420245443024 is an abundant number, since it is smaller than the sum of its proper divisors (109649098503256).

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

100420245443024 is a wasteful number, since it uses less digits than its factorization.

100420245443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241104887 (or 1241104881 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 100420245443024 its reverse (420344542024001), we get a palindrome (520764787467025).

The spelling of 100420245443024 in words is "one hundred trillion, four hundred twenty billion, two hundred forty-five million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 389 778 1556 3112 5057 6224 10114 20228 40456 80912 1241104477 2482208954 4964417908 9928835816 16134358201 19857671632 32268716402 64537432804 129074865608 258149731216 482789641553 965579283106 1931158566212 3862317132424 6276265340189 7724634264848 12552530680378 25105061360756 50210122721512 100420245443024