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133020220200 = 23352731671481
BaseRepresentation
bin111101111100010011…
…1110111101100101000
3110201100102000022212020
41323320213313230220
54134411134021300
6141035244544440
712416236134030
oct1737047675450
9421312008766
10133020220200
11514604a028a
1221944252120
13c70b81878a
14661c6568c0
1536d809d8a0
hex1ef89f7b28

133020220200 has 96 divisors (see below), whose sum is σ = 471271652160. Its totient is φ = 30404620800.

The previous prime is 133020220087. The next prime is 133020220217. The reversal of 133020220200 is 2022020331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133020220200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15831541 + ... + 15839940.

It is an arithmetic number, because the mean of its divisors is an integer number (4909079710).

Almost surely, 2133020220200 is an apocalyptic number.

133020220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020220200 is an abundant number, since it is smaller than the sum of its proper divisors (338251431960).

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

133020220200 is a wasteful number, since it uses less digits than its factorization.

133020220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31671507 (or 31671498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 133020220200 its reverse (2022020331), we get a palindrome (135042240531).

It can be divided in two parts, 133020 and 220200, that added together give a triangular number (353220 = T840).

The spelling of 133020220200 in words is "one hundred thirty-three billion, twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 31671481 63342962 95014443 126685924 158357405 190028886 221700367 253371848 316714810 380057772 443400734 475072215 633429620 665101101 760115544 791787025 886801468 950144430 1108501835 1266859240 1330202202 1583574050 1773602936 1900288860 2217003670 2375361075 2660404404 3167148100 3325505505 3800577720 4434007340 4750722150 5320808808 5542509175 6334296200 6651011010 8868014680 9501444300 11085018350 13302022020 16627527525 19002888600 22170036700 26604044040 33255055050 44340073400 66510110100 133020220200