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101004048 = 2432701417
BaseRepresentation
bin1100000010100…
…11001100010000
321001001112111200
412001103030100
5201324112143
614004511200
72334343305
oct601231420
9231045450
10101004048
1152017922
12299ab500
1317c05812
14d5b30ac
158d021d3
hex6053310

101004048 has 30 divisors (see below), whose sum is σ = 282671454. Its totient is φ = 33667968.

The previous prime is 101004011. The next prime is 101004049. The reversal of 101004048 is 840400101.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 25522704 = 8688^2 + 5052^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 101004048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350565 + ... + 350852.

Almost surely, 2101004048 is an apocalyptic number.

101004048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101004048 is an abundant number, since it is smaller than the sum of its proper divisors (181667406).

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

101004048 is a wasteful number, since it uses less digits than its factorization.

101004048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701431 (or 701422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101004048 is about 10050.0770146303. The cubic root of 101004048 is about 465.7071723390.

Adding to 101004048 its reverse (840400101), we get a palindrome (941404149).

The spelling of 101004048 in words is "one hundred one million, four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 701417 1402834 2104251 2805668 4208502 5611336 6312753 8417004 11222672 12625506 16834008 25251012 33668016 50502024 101004048