Search a number
-
+
200221011001020 = 22354771000358511
BaseRepresentation
bin101101100001100110010110…
…001111001011111010111100
3222020220221102111211011222210
4231201212112033023322330
5202220410112304013040
61545500132422140420
760113330205655332
oct5541462617137274
9866827374734883
10200221011001020
1158884287a605a9
121a55820b581710
1387949b6575229
143762a6a39db52
15182331bdd5480
hexb619963cbebc

200221011001020 has 48 divisors (see below), whose sum is σ = 572546891040768. Its totient is φ = 52256263863360.

The previous prime is 200221011001001. The next prime is 200221011001261. The reversal of 200221011001020 is 20100110122002.

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 = 200221011000987 and 200221011001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35500176436 + ... + 35500182075.

It is an arithmetic number, because the mean of its divisors is an integer number (11928060230016).

Almost surely, 2200221011001020 is an apocalyptic number.

200221011001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221011001020 is an abundant number, since it is smaller than the sum of its proper divisors (372325880039748).

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

200221011001020 is a wasteful number, since it uses less digits than its factorization.

200221011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71000358570 (or 71000358568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200221011001020 its reverse (20100110122002), we get a palindrome (220321121123022).

The spelling of 200221011001020 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 71000358511 142000717022 213001075533 284001434044 355001792555 426002151066 710003585110 852004302132 1065005377665 1420007170220 2130010755330 3337016850017 4260021510660 6674033700034 10011050550051 13348067400068 16685084250085 20022101100102 33370168500170 40044202200204 50055252750255 66740337000340 100110505500510 200221011001020