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800133252120 = 2332511319668959
BaseRepresentation
bin10111010010010111010…
…10001000010000011000
32211111021122212122112100
423221023222020100120
5101102133103031440
61411324240243400
7111544022266116
oct13511352102030
92744248778470
10800133252120
112893753a8014
1210b0a3010560
135a5b5763497
142aa25d30ab6
1515c2ed64230
hexba4ba88418

800133252120 has 96 divisors (see below), whose sum is σ = 2623445884800. Its totient is φ = 211480636416.

The previous prime is 800133252097. The next prime is 800133252133. The reversal of 800133252120 is 21252331008.

800133252120 is a `hidden beast` number, since 8 + 0 + 0 + 133 + 2 + 521 + 2 + 0 = 666.

It is a super-2 number, since 2×8001332521202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 9793800 + ... + 9875159.

It is an arithmetic number, because the mean of its divisors is an integer number (27327561300).

Almost surely, 2800133252120 is an apocalyptic number.

It is an amenable number.

800133252120 is an abundant number, since it is smaller than the sum of its proper divisors (1823312632680).

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

800133252120 is a wasteful number, since it uses less digits than its factorization.

800133252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19669089 (or 19669082 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 800133252120 its reverse (21252331008), we get a palindrome (821385583128).

The spelling of 800133252120 in words is "eight hundred billion, one hundred thirty-three million, two hundred fifty-two 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 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 19668959 39337918 59006877 78675836 98344795 118013754 157351672 177020631 196689590 236027508 295034385 354041262 393379180 472055016 590068770 708082524 786758360 885103155 1180137540 1416165048 1770206310 2222592367 2360275080 3540412620 4445184734 6667777101 7080825240 8890369468 11112961835 13335554202 17780738936 20003331303 22225923670 26671108404 33338885505 40006662606 44451847340 53342216808 66677771010 80013325212 88903694680 100016656515 133355542020 160026650424 200033313030 266711084040 400066626060 800133252120