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133201232032 = 2511193210159
BaseRepresentation
bin111110000001101101…
…0011000000010100000
3110201211000121200102011
41330003122120002200
54140244003411112
6141105232402304
712423564535231
oct1740332300240
9421730550364
10133201232032
1151543694140
12219949a6394
13c73a18507b
1466386d5088
1536e8e06aa7
hex1f036980a0

133201232032 has 72 divisors (see below), whose sum is σ = 287598185280. Its totient is φ = 60226375680.

The previous prime is 133201232023. The next prime is 133201232039. The reversal of 133201232032 is 230232102331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133201231994 and 133201232012.

It is not an unprimeable number, because it can be changed into a prime (133201232039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13106569 + ... + 13116727.

It is an arithmetic number, because the mean of its divisors is an integer number (3994419240).

Almost surely, 2133201232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133201232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143799092640).

133201232032 is an abundant number, since it is smaller than the sum of its proper divisors (154396953248).

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

133201232032 is a wasteful number, since it uses less digits than its factorization.

133201232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566 (or 10365 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133201232032 its reverse (230232102331), we get a palindrome (363433334363).

The spelling of 133201232032 in words is "one hundred thirty-three billion, two hundred one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 4246 6176 8492 10159 16984 20318 33968 37249 40636 67936 74498 81272 111749 148996 162544 223498 297992 325088 409739 446996 595984 819478 893992 1191968 1638956 1787984 1960687 3277912 3575968 3921374 6555824 7842748 13111648 15685496 21567557 31370992 43135114 62741984 86270228 172540456 345080912 378412591 690161824 756825182 1513650364 3027300728 4162538501 6054601456 8325077002 12109202912 16650154004 33300308008 66600616016 133201232032