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101533452 = 223171273919
BaseRepresentation
bin1100000110101…
…00011100001100
321002001102201020
412003110130030
5201443032302
614024114140
72342006616
oct603243414
9232042636
10101533452
1152349649
122a005950
131805c787
14d6addb6
158da8ebc
hex60d470c

101533452 has 48 divisors (see below), whose sum is σ = 252887040. Its totient is φ = 31594752.

The previous prime is 101533451. The next prime is 101533459. The reversal of 101533452 is 254335101.

It is not an unprimeable number, because it can be changed into a prime (101533451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23949 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (5268480).

Almost surely, 2101533452 is an apocalyptic number.

101533452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101533452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126443520).

101533452 is an abundant number, since it is smaller than the sum of its proper divisors (151353588).

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

101533452 is a wasteful number, since it uses less digits than its factorization.

101533452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 101533452 is about 10076.3808979216. The cubic root of 101533452 is about 466.5194095468.

Adding to 101533452 its reverse (254335101), we get a palindrome (355868553).

The spelling of 101533452 in words is "one hundred one million, five hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 381 508 762 1524 2159 3919 4318 6477 7838 8636 11757 12954 15676 23514 25908 47028 66623 133246 199869 266492 399738 497713 799476 995426 1493139 1990852 2986278 5972556 8461121 16922242 25383363 33844484 50766726 101533452