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101432001 = 31122312149
BaseRepresentation
bin1100000101110…
…11101011000001
321001212021112210
412002323223001
5201431311001
614022012333
72341105056
oct602735301
9231767483
10101432001
115228a400
1229b770a9
1318025548
14d68502d
158d88dd6
hex60bbac1

101432001 has 24 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 58796320.

The previous prime is 101431987. The next prime is 101432029. The reversal of 101432001 is 100234101.

It is a happy number.

It is not a de Polignac number, because 101432001 - 211 = 101429953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2101432001 is an apocalyptic number.

101432001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101432001 is a deficient number, since it is larger than the sum of its proper divisors (53699199).

101432001 is a wasteful number, since it uses less digits than its factorization.

101432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101432001 is about 10071.3455406912. The cubic root of 101432001 is about 466.3639775786.

Adding to 101432001 its reverse (100234101), we get a palindrome (201666102).

The spelling of 101432001 in words is "one hundred one million, four hundred thirty-two thousand, one".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 8349 12149 36447 133639 279427 400917 838281 1470029 3073697 4410087 9221091 33810667 101432001