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133020120 = 23351108501
BaseRepresentation
bin1111110110110…
…11100111011000
3100021022010022010
413323123213120
5233023120440
621111025520
73203436522
oct773334730
9307263263
10133020120
11690a4a92
123866b2a0
132173533c
1413948a12
15ba28580
hex7edb9d8

133020120 has 32 divisors (see below), whose sum is σ = 399060720. Its totient is φ = 35472000.

The previous prime is 133020119. The next prime is 133020137. The reversal of 133020120 is 21020331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133020096 and 133020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554131 + ... + 554370.

Almost surely, 2133020120 is an apocalyptic number.

133020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020120 is an abundant number, since it is smaller than the sum of its proper divisors (266040600).

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

133020120 is a wasteful number, since it uses less digits than its factorization.

133020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108515 (or 1108511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133020120 is about 11533.4348743122. The cubic root of 133020120 is about 510.4726107295.

Adding to 133020120 its reverse (21020331), we get a palindrome (154040451).

The spelling of 133020120 in words is "one hundred thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1108501 2217002 3325503 4434004 5542505 6651006 8868008 11085010 13302012 16627515 22170020 26604024 33255030 44340040 66510060 133020120