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101023032 = 23311382663
BaseRepresentation
bin1100000010101…
…11110100111000
321001002111112210
412001113310320
5201330214112
614005135120
72334452535
oct601276470
9231074483
10101023032
1152030110
12299ba4a0
1317c11356
14d5b9d8c
158d07b3c
hex6057d38

101023032 has 32 divisors (see below), whose sum is σ = 275518080. Its totient is φ = 30612960.

The previous prime is 101023007. The next prime is 101023051. The reversal of 101023032 is 230320101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101022999 and 101023017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 191068 + ... + 191595.

It is an arithmetic number, because the mean of its divisors is an integer number (8609940).

Almost surely, 2101023032 is an apocalyptic number.

101023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101023032 is an abundant number, since it is smaller than the sum of its proper divisors (174495048).

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

101023032 is a wasteful number, since it uses less digits than its factorization.

101023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382683 (or 382679 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101023032 is about 10051.0214406298. The cubic root of 101023032 is about 465.7363475100.

Adding to 101023032 its reverse (230320101), we get a palindrome (331343133).

It can be divided in two parts, 1010 and 23032, that added together give a palindrome (24042).

The spelling of 101023032 in words is "one hundred one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 382663 765326 1147989 1530652 2295978 3061304 4209293 4591956 8418586 9183912 12627879 16837172 25255758 33674344 50511516 101023032