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133020031032 = 2333787976211
BaseRepresentation
bin111101111100010011…
…1001001100000111000
3110201100101122201101000
41323320213021200320
54134411111443112
6141035240525000
712416234415360
oct1737047114070
9421311581330
10133020031032
1151460381149
1221944180760
13c70b780645
14661c6079a0
1536d80627dc
hex1ef89c9838

133020031032 has 64 divisors (see below), whose sum is σ = 422285817600. Its totient is φ = 38005722720.

The previous prime is 133020031031. The next prime is 133020031061. The reversal of 133020031032 is 230130020331.

133020031032 is a `hidden beast` number, since 1 + 330 + 20 + 0 + 310 + 3 + 2 = 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 = 133020030996 and 133020031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020031031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43986594 + ... + 43989617.

It is an arithmetic number, because the mean of its divisors is an integer number (6598215900).

Almost surely, 2133020031032 is an apocalyptic number.

133020031032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133020031032 is an abundant number, since it is smaller than the sum of its proper divisors (289265786568).

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

133020031032 is a wasteful number, since it uses less digits than its factorization.

133020031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87976233 (or 87976223 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133020031032 its reverse (230130020331), we get a palindrome (363150051363).

The spelling of 133020031032 in words is "one hundred thirty-three billion, twenty million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 87976211 175952422 263928633 351904844 527857266 615833477 703809688 791785899 1055714532 1231666954 1583571798 1847500431 2111429064 2375357697 2463333908 3167143596 3695000862 4750715394 4926667816 5542501293 6334287192 7390001724 9501430788 11085002586 14780003448 16627503879 19002861576 22170005172 33255007758 44340010344 66510015516 133020031032