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133011105132 = 223103911639173
BaseRepresentation
bin111101111100000010…
…1000110010101101100
3110201022202212020100010
41323320011012111230
54134401320331012
6141034321333220
712416065511343
oct1737005062554
9421282766303
10133011105132
1151456334a74
1221941197210
13c709976949
14661b362b5a
1536d739cc3c
hex1ef814656c

133011105132 has 48 divisors (see below), whose sum is σ = 310958968320. Its totient is φ = 44251451328.

The previous prime is 133011105131. The next prime is 133011105197. The reversal of 133011105132 is 231501110331.

It is a junction number, because it is equal to n+sod(n) for n = 133011105099 and 133011105108.

It is not an unprimeable number, because it can be changed into a prime (133011105131) 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, 14495698 + ... + 14504870.

It is an arithmetic number, because the mean of its divisors is an integer number (6478311840).

Almost surely, 2133011105132 is an apocalyptic number.

133011105132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133011105132 is an abundant number, since it is smaller than the sum of its proper divisors (177947863188).

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

133011105132 is a wasteful number, since it uses less digits than its factorization.

133011105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 133011105132 its reverse (231501110331), we get a palindrome (364512215463).

The spelling of 133011105132 in words is "one hundred thirty-three billion, eleven million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1039 1163 2078 2326 3117 3489 4156 4652 6234 6978 9173 12468 13956 18346 27519 36692 55038 110076 1208357 2416714 3625071 4833428 7250142 9530747 10668199 14500284 19061494 21336398 28592241 32004597 38122988 42672796 57184482 64009194 114368964 128018388 11084258761 22168517522 33252776283 44337035044 66505552566 133011105132