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132033012120 = 23335122252789
BaseRepresentation
bin111101011110111000…
…1111110000110011000
3110121210121101221222000
41322331301332012120
54130400422341440
6140353301401000
712352621041252
oct1727561760630
9417717357860
10132033012120
1150aa4214239
1221709709160
13c5b2139b99
1465674b8cd2
15367b597730
hex1ebdc7e198

132033012120 has 64 divisors (see below), whose sum is σ = 440110044000. Its totient is φ = 35208802944.

The previous prime is 132033012109. The next prime is 132033012121. The reversal of 132033012120 is 21210330231.

132033012120 is a `hidden beast` number, since 1 + 320 + 3 + 301 + 21 + 20 = 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 = 132033012093 and 132033012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033012121) 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, 61125315 + ... + 61127474.

Almost surely, 2132033012120 is an apocalyptic number.

132033012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132033012120 is an abundant number, since it is smaller than the sum of its proper divisors (308077031880).

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

132033012120 is a wasteful number, since it uses less digits than its factorization.

132033012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122252809 (or 122252799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132033012120 its reverse (21210330231), we get a palindrome (153243342351).

The spelling of 132033012120 in words is "one hundred thirty-two billion, thirty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 122252789 244505578 366758367 489011156 611263945 733516734 978022312 1100275101 1222527890 1467033468 1833791835 2200550202 2445055780 2934066936 3300825303 3667583670 4401100404 4890111560 5501375505 6601650606 7335167340 8802200808 11002751010 13203301212 14670334680 16504126515 22005502020 26406602424 33008253030 44011004040 66016506060 132033012120