Search a number
-
+
201120210221000 = 2353741700767283
BaseRepresentation
bin101101101110101011110010…
…101011111111011111001000
3222101002220102020210102112212
4231232223302223333133020
5202330123142304033000
61551425203222124252
760235312204143260
oct5556536253773710
9871086366712485
10201120210221000
11590a0669527524
121a68253b580688
13882b7291673b5
1437943ad2967a0
15183b8e8e83c35
hexb6eaf2aff7c8

201120210221000 has 128 divisors (see below), whose sum is σ = 550971269372160. Its totient is φ = 67273659072000.

The previous prime is 201120210220991. The next prime is 201120210221011. The reversal of 201120210221000 is 122012021102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350096642 + ... + 350670641.

It is an arithmetic number, because the mean of its divisors is an integer number (4304463041970).

Almost surely, 2201120210221000 is an apocalyptic number.

201120210221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120210221000 is an abundant number, since it is smaller than the sum of its proper divisors (349851059151160).

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

201120210221000 is a wasteful number, since it uses less digits than its factorization.

201120210221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700767352 (or 700767338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201120210221000 its reverse (122012021102), we get a palindrome (201242222242102).

The spelling of 201120210221000 in words is "two hundred one trillion, one hundred twenty billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 574 700 820 875 1000 1025 1148 1400 1435 1640 1750 2050 2296 2870 3500 4100 5125 5740 7000 7175 8200 10250 11480 14350 20500 28700 35875 41000 57400 71750 143500 287000 700767283 1401534566 2803069132 3503836415 4905370981 5606138264 7007672830 9810741962 14015345660 17519182075 19621483924 24526854905 28030691320 28731458603 35038364150 39242967848 49053709810 57462917206 70076728300 87595910375 98107419620 114925834412 122634274525 140153456600 143657293015 175191820750 196214839240 201120210221 229851668824 245268549050 287314586030 350383641500 402240420442 490537098100 574629172060 613171372625 700767283000 718286465075 804480840884 981074196200 1005601051105 1149258344120 1226342745250 1436572930150 1608961681768 2011202102210 2452685490500 2873145860300 3591432325375 4022404204420 4905370981000 5028005255525 5746291720600 7182864650750 8044808408840 10056010511050 14365729301500 20112021022100 25140026277625 28731458603000 40224042044200 50280052555250 100560105110500 201120210221000