Search a number
-
+
20210230132020 = 22325711581395159
BaseRepresentation
bin1001001100001100011111…
…00101100111110100110100
32122120002010200112202001200
410212012033211213310310
510122111022403211040
6110552241311252500
74154066225453445
oct446061745476464
978502120482050
1020210230132020
1164921240368a5
122324a6521a130
13b37a7cb97766
144dc274c892cc
15250aab4c5630
hex12618f967d34

20210230132020 has 72 divisors (see below), whose sum is σ = 62167806529920. Its totient is φ = 5313487730880.

The previous prime is 20210230132009. The next prime is 20210230132031. The reversal of 20210230132020 is 2023103201202.

20210230132020 is a `hidden beast` number, since 2 + 0 + 21 + 0 + 2 + 301 + 320 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20210230132009) and next prime (20210230132031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20210230131984 and 20210230132002.

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 23 ways as a sum of consecutive naturals, for example, 790684800 + ... + 790710359.

It is an arithmetic number, because the mean of its divisors is an integer number (863441757360).

Almost surely, 220210230132020 is an apocalyptic number.

20210230132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210230132020 is an abundant number, since it is smaller than the sum of its proper divisors (41957576397900).

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

20210230132020 is a wasteful number, since it uses less digits than its factorization.

20210230132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581395245 (or 1581395240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20210230132020 its reverse (2023103201202), we get a palindrome (22233333333222).

The spelling of 20210230132020 in words is "twenty trillion, two hundred ten billion, two hundred thirty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 1581395159 3162790318 4744185477 6325580636 7906975795 9488370954 14232556431 15813951590 18976741908 23720927385 28465112862 31627903180 47441854770 56930225724 71162782155 94883709540 112279056289 142325564310 224558112578 284651128620 336837168867 449116225156 561395281445 673674337734 1010511506601 1122790562890 1347348675468 1684185844335 2021023013202 2245581125780 3368371688670 4042046026404 5052557533005 6736743377340 10105115066010 20210230132020