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20413132020 = 22325971169137
BaseRepresentation
bin10011000000101101…
…111010110011110100
31221200121220112211200
4103000231322303310
5313301230211040
613213324132500
71321566521301
oct230055726364
957617815750
1020413132020
118725754246
123b58397130
131c04166558
14db91080a8
157e7175630
hex4c0b7acf4

20413132020 has 72 divisors (see below), whose sum is σ = 62558236104. Its totient is φ = 5387378688.

The previous prime is 20413132001. The next prime is 20413132039. The reversal of 20413132020 is 2023131402.

It is an interprime number because it is at equal distance from previous prime (20413132001) and next prime (20413132039).

It can be written as a sum of positive squares in 4 ways, for example, as 7806782736 + 12606349284 = 88356^2 + 112278^2 .

It is a super-3 number, since 3×204131320203 (a number of 32 digits) contains 333 as substring.

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 = 20413131984 and 20413132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567109 + ... + 602028.

Almost surely, 220413132020 is an apocalyptic number.

20413132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413132020 is an abundant number, since it is smaller than the sum of its proper divisors (42145104084).

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

20413132020 is a wasteful number, since it uses less digits than its factorization.

20413132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169249 (or 1169244 counting only the distinct ones).

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

Adding to 20413132020 its reverse (2023131402), we get a palindrome (22436263422).

The spelling of 20413132020 in words is "twenty billion, four hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 1169137 2338274 3507411 4676548 5845685 7014822 10522233 11691370 14029644 17537055 21044466 23382740 35074110 42088932 52611165 70148220 105222330 113406289 210444660 226812578 340218867 453625156 567031445 680437734 1020656601 1134062890 1360875468 1701094335 2041313202 2268125780 3402188670 4082626404 5103283005 6804377340 10206566010 20413132020