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101332044 = 223211833083
BaseRepresentation
bin1100000101000…
…11010001001100
321001200012102200
412002203101030
5201420111134
614015521500
72340210462
oct602432114
9231605380
10101332044
11522212a0
1229b29290
1317cbbbb8
14d65a832
158d69499
hex60a344c

101332044 has 72 divisors (see below), whose sum is σ = 282889152. Its totient is φ = 30326880.

The previous prime is 101332027. The next prime is 101332057. The reversal of 101332044 is 440233101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31327 + ... + 34409.

It is an arithmetic number, because the mean of its divisors is an integer number (3929016).

Almost surely, 2101332044 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 101332044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141444576).

101332044 is an abundant number, since it is smaller than the sum of its proper divisors (181557108).

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

101332044 is a wasteful number, since it uses less digits than its factorization.

101332044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101332044 is about 10066.3818723512. The cubic root of 101332044 is about 466.2107331559.

Adding to 101332044 its reverse (440233101), we get a palindrome (541565145).

The spelling of 101332044 in words is "one hundred one million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3083 3652 5478 6166 8217 9249 10956 12332 16434 18498 27747 32868 33913 36996 55494 67826 101739 110988 135652 203478 255889 305217 406956 511778 610434 767667 1023556 1220868 1535334 2303001 2814779 3070668 4606002 5629558 8444337 9212004 11259116 16888674 25333011 33777348 50666022 101332044