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201320220200 = 235211587155893
BaseRepresentation
bin1011101101111110011…
…1101100011000101000
3201020122100111211010212
42323133213230120220
511244300434021300
6232252451000252
720354621431331
oct2733747543050
9636570454125
10201320220200
117841a01a180
1233025899088
1315ca49b6868
149a5b587288
15538430a935
hex2edf9ec628

201320220200 has 96 divisors (see below), whose sum is σ = 511494449760. Its totient is φ = 73082169600.

The previous prime is 201320220191. The next prime is 201320220209. The reversal of 201320220200 is 2022023102.

It is an interprime number because it is at equal distance from previous prime (201320220191) and next prime (201320220209).

It is a super-2 number, since 2×2013202202002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201320220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213454 + ... + 1369346.

It is an arithmetic number, because the mean of its divisors is an integer number (5328067185).

Almost surely, 2201320220200 is an apocalyptic number.

201320220200 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 201320220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255747224880).

201320220200 is an abundant number, since it is smaller than the sum of its proper divisors (310174229560).

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

201320220200 is a wasteful number, since it uses less digits than its factorization.

201320220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156507 (or 156498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 201320220200 its reverse (2022023102), we get a palindrome (203342243302).

The spelling of 201320220200 in words is "two hundred one billion, three hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 587 1100 1174 2200 2348 2935 4696 5870 6457 11740 12914 14675 23480 25828 29350 32285 51656 58700 64570 117400 129140 155893 161425 258280 311786 322850 623572 645700 779465 1247144 1291400 1558930 1714823 3117860 3429646 3897325 6235720 6859292 7794650 8574115 13718584 15589300 17148230 31178600 34296460 42870575 68592920 85741150 91509191 171482300 183018382 342964600 366036764 457545955 732073528 915091910 1006601101 1830183820 2013202202 2287729775 3660367640 4026404404 4575459550 5033005505 8052808808 9150919100 10066011010 18301838200 20132022020 25165027525 40264044040 50330055050 100660110100 201320220200