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20814106335 = 35112331176923
BaseRepresentation
bin10011011000100111…
…100000111011011111
31222201120102011012020
4103120213200323133
5320111402400320
613321210311223
71334535661521
oct233047407337
958646364166
1020814106335
118911025180
12404a728513
131c69259469
141016483a11
1581c47c940
hex4d89e0edf

20814106335 has 64 divisors (see below), whose sum is σ = 39132758016. Its totient is φ = 9341481600.

The previous prime is 20814106333. The next prime is 20814106351. The reversal of 20814106335 is 53360141802.

It is not a de Polignac number, because 20814106335 - 21 = 20814106333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20814106296 and 20814106305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814106331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29184 + ... + 206106.

It is an arithmetic number, because the mean of its divisors is an integer number (611449344).

Almost surely, 220814106335 is an apocalyptic number.

20814106335 is a deficient number, since it is larger than the sum of its proper divisors (18318651681).

20814106335 is a wasteful number, since it uses less digits than its factorization.

20814106335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176996.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 20814106335 in words is "twenty billion, eight hundred fourteen million, one hundred six thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 23 31 33 55 69 93 115 155 165 253 341 345 465 713 759 1023 1265 1705 2139 3565 3795 5115 7843 10695 23529 39215 117645 176923 530769 884615 1946153 2653845 4069229 5484613 5838459 9730765 12207687 16453839 20346145 27423065 29192295 44761519 60330743 61038435 82269195 126146099 134284557 180992229 223807595 301653715 378438297 630730495 671422785 904961145 1387607089 1892191485 4162821267 6938035445 20814106335