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201000220020 = 223253318394021
BaseRepresentation
bin1011101100110010001…
…0111111010101110100
3201012211001101010102100
42323030202333111310
511243122024020040
6232201020142100
720343654452235
oct2731442772564
9635731333370
10201000220020
1178275425316
1232b56697930
1315c53605542
149a2ac8908c
15536619ab30
hex2ecc8bf574

201000220020 has 144 divisors (see below), whose sum is σ = 612423826560. Its totient is φ = 53361158400.

The previous prime is 201000220019. The next prime is 201000220021. The reversal of 201000220020 is 20022000102.

It is an interprime number because it is at equal distance from previous prime (201000220019) and next prime (201000220021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000219984 and 201000220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000220021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49985610 + ... + 49989630.

It is an arithmetic number, because the mean of its divisors is an integer number (4252943240).

Almost surely, 2201000220020 is an apocalyptic number.

201000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306211913280).

201000220020 is an abundant number, since it is smaller than the sum of its proper divisors (411423606540).

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

201000220020 is a wasteful number, since it uses less digits than its factorization.

201000220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201000220020 its reverse (20022000102), we get a palindrome (221022220122).

The spelling of 201000220020 in words is "two hundred one billion, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 839 993 1324 1655 1678 1986 2517 2979 3310 3356 3972 4021 4195 4965 5034 5958 6620 7551 8042 8390 9930 10068 11916 12063 12585 14895 15102 16084 16780 19860 20105 24126 25170 29790 30204 36189 37755 40210 48252 50340 59580 60315 72378 75510 80420 120630 144756 151020 180945 241260 277709 361890 555418 723780 833127 1110836 1330951 1388545 1666254 2499381 2661902 2777090 3332508 3373619 3992853 4165635 4998762 5323804 5554180 6654755 6747238 7985706 8331270 9997524 10120857 11978559 12496905 13309510 13494476 15971412 16662540 16868095 19964265 20241714 23957118 24993810 26619020 30362571 33736190 39928530 40483428 47914236 49987620 50604285 59892795 60725142 67472380 79857060 101208570 119785590 121450284 151812855 202417140 239571180 303625710 607251420 1116667889 2233335778 3350003667 4466671556 5583339445 6700007334 10050011001 11166678890 13400014668 16750018335 20100022002 22333357780 33500036670 40200044004 50250055005 67000073340 100500110010 201000220020