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20145203631 = 337372880767
BaseRepresentation
bin10010110000101111…
…110110100110101111
31220222221202101012000
4102300233312212233
5312224133004011
613130553343343
71312134256050
oct226057664657
956887671160
1020145203631
1185a8495723
123aa2707b53
131b907b7647
14d916c2727
157cd89e356
hex4b0bf69af

20145203631 has 32 divisors (see below), whose sum is σ = 35030138880. Its totient is φ = 11200418208.

The previous prime is 20145203629. The next prime is 20145203647. The reversal of 20145203631 is 13630254102.

20145203631 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 5 + 20 + 3 + 631 = 666.

It is not a de Polignac number, because 20145203631 - 21 = 20145203629 is a prime.

It is a super-2 number, since 2×201452036312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20145203595 and 20145203604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145203431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433391 + ... + 1447376.

It is an arithmetic number, because the mean of its divisors is an integer number (1094691840).

Almost surely, 220145203631 is an apocalyptic number.

20145203631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20145203631 is a deficient number, since it is larger than the sum of its proper divisors (14884935249).

20145203631 is a wasteful number, since it uses less digits than its factorization.

20145203631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880820 (or 2880814 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20145203631 its reverse (13630254102), we get a palindrome (33775457733).

The spelling of 20145203631 in words is "twenty billion, one hundred forty-five million, two hundred three thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 2880767 8642301 20165369 25926903 60496107 77780709 106588379 181488321 319765137 544464963 746118653 959295411 2238355959 2877886233 6715067877 20145203631