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101531332 = 2272518017
BaseRepresentation
bin1100000110100…
…11111011000100
321002001022210201
412003103323010
5201443000312
614024100244
72342000500
oct603237304
9232038721
10101531332
1152347aa1
122a004684
131805b816
14d6ad300
158da8557
hex60d3ec4

101531332 has 18 divisors (see below), whose sum is σ = 206689182. Its totient is φ = 43513344.

The previous prime is 101531329. The next prime is 101531333. The reversal of 101531332 is 233135101.

It can be written as a sum of positive squares in only one way, i.e., 70795396 + 30735936 = 8414^2 + 5544^2 .

It is a super-2 number, since 2×1015313322 = 20617222755388448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101531333) 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 5 ways as a sum of consecutive naturals, for example, 258813 + ... + 259204.

Almost surely, 2101531332 is an apocalyptic number.

It is an amenable number.

101531332 is an abundant number, since it is smaller than the sum of its proper divisors (105157850).

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

101531332 is a wasteful number, since it uses less digits than its factorization.

101531332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518035 (or 518026 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 101531332 is about 10076.2757008728. The cubic root of 101531332 is about 466.5161625774.

Adding to 101531332 its reverse (233135101), we get a palindrome (334666433).

The spelling of 101531332 in words is "one hundred one million, five hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 518017 1036034 2072068 3626119 7252238 14504476 25382833 50765666 101531332