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201200334120 = 23325831167247
BaseRepresentation
bin1011101101100001111…
…0010111010100101000
3201020022222220222100200
42323120132113110220
511244024241142440
6232232525232200
720351634423252
oct2733036272450
9636288828320
10201200334120
1178368385a75
1232bb1702660
1315c85bcc756
149a4969acd2
155378a28c30
hex2ed8797528

201200334120 has 96 divisors (see below), whose sum is σ = 653989489920. Its totient is φ = 53646168960.

The previous prime is 201200334119. The next prime is 201200334157. The reversal of 201200334120 is 21433002102.

201200334120 is a `hidden beast` number, since 20 + 1 + 200 + 33 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201200334093 and 201200334102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2958337 + ... + 3025583.

It is an arithmetic number, because the mean of its divisors is an integer number (6812390520).

Almost surely, 2201200334120 is an apocalyptic number.

201200334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200334120 is an abundant number, since it is smaller than the sum of its proper divisors (452789155800).

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

201200334120 is a wasteful number, since it uses less digits than its factorization.

201200334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75575 (or 75568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201200334120 its reverse (21433002102), we get a palindrome (222633336222).

The spelling of 201200334120 in words is "two hundred one billion, two hundred million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8311 16622 24933 33244 41555 49866 66488 67247 74799 83110 99732 124665 134494 149598 166220 199464 201741 249330 268988 299196 332440 336235 373995 403482 498660 537976 598392 605223 672470 747990 806964 997320 1008705 1210446 1344940 1495980 1613928 2017410 2420892 2689880 2991960 3026115 4034820 4841784 6052230 8069640 12104460 24208920 558889817 1117779634 1676669451 2235559268 2794449085 3353338902 4471118536 5030008353 5588898170 6706677804 8383347255 10060016706 11177796340 13413355608 16766694510 20120033412 22355592680 25150041765 33533389020 40240066824 50300083530 67066778040 100600167060 201200334120