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133022120 = 23571143189
BaseRepresentation
bin1111110110111…
…00000110101000
3100021022020001012
413323130012220
5233023201440
621111043052
73203445410
oct773340650
9307266035
10133022120
11690a6540
1238670488
132173621a
1413949640
15ba28e65
hex7edc1a8

133022120 has 64 divisors (see below), whose sum is σ = 373161600. Its totient is φ = 41460480.

The previous prime is 133022117. The next prime is 133022129. The reversal of 133022120 is 21220331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 133022095 and 133022104.

It is not an unprimeable number, because it can be changed into a prime (133022129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18515 + ... + 24674.

It is an arithmetic number, because the mean of its divisors is an integer number (5830650).

Almost surely, 2133022120 is an apocalyptic number.

133022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133022120 is an abundant number, since it is smaller than the sum of its proper divisors (240139480).

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

133022120 is a wasteful number, since it uses less digits than its factorization.

133022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43218 (or 43214 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133022120 is about 11533.5215784252. The cubic root of 133022120 is about 510.4751690896.

Adding to 133022120 its reverse (21220331), we get a palindrome (154242451).

The spelling of 133022120 in words is "one hundred thirty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 43189 86378 172756 215945 302323 345512 431890 475079 604646 863780 950158 1209292 1511615 1727560 1900316 2375395 2418584 3023230 3325553 3800632 4750790 6046460 6651106 9501580 12092920 13302212 16627765 19003160 26604424 33255530 66511060 133022120