Search a number
-
+
2001220021020 = 2235119901306247
BaseRepresentation
bin11101000111110010000…
…000100010101100011100
321002022111110112100011210
4131013302000202230130
5230241444311133040
64131203042144420
7264404045340453
oct35076200425434
97068443470153
102001220021020
11701792591720
12283a24652110
131169392486bc
146cc06911b9a
15370ca170480
hex1d1f2022b1c

2001220021020 has 96 divisors (see below), whose sum is σ = 6113454875136. Its totient is φ = 485093664000.

The previous prime is 2001220020949. The next prime is 2001220021103. The reversal of 2001220021020 is 201200221002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001220020987 and 2001220021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6381537 + ... + 6687783.

It is an arithmetic number, because the mean of its divisors is an integer number (63681821616).

Almost surely, 22001220021020 is an apocalyptic number.

2001220021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001220021020 is an abundant number, since it is smaller than the sum of its proper divisors (4112234854116).

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

2001220021020 is a wasteful number, since it uses less digits than its factorization.

2001220021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316171 (or 316169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001220021020 its reverse (201200221002), we get a palindrome (2202420242022).

The spelling of 2001220021020 in words is "two trillion, one billion, two hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 9901 19802 29703 39604 49505 59406 99010 108911 118812 148515 198020 217822 297030 306247 326733 435644 544555 594060 612494 653466 918741 1089110 1224988 1306932 1531235 1633665 1837482 2178220 3062470 3267330 3368717 3674964 4593705 6124940 6534660 6737434 9187410 10106151 13474868 16843585 18374820 20212302 33687170 40424604 50530755 67374340 101061510 202123020 3032151547 6064303094 9096454641 12128606188 15160757735 18192909282 30321515470 33353667017 36385818564 45482273205 60643030940 66707334034 90964546410 100061001051 133414668068 166768335085 181929092820 200122002102 333536670170 400244004204 500305005255 667073340340 1000610010510 2001220021020