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1001100144 = 243111896023
BaseRepresentation
bin111011101010111…
…001001101110000
32120202202011020010
4323222321031300
54022240201034
6243201014520
733544132212
oct7352711560
92522664203
101001100144
114741053a0
1223b324440
1312c533b65
1496d565b2
155cd4c3e9
hex3bab9370

1001100144 has 40 divisors (see below), whose sum is σ = 2821283712. Its totient is φ = 303363520.

The previous prime is 1001100137. The next prime is 1001100151. The reversal of 1001100144 is 4410011001.

It is an interprime number because it is at equal distance from previous prime (1001100137) and next prime (1001100151).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947484 + ... + 948539.

Almost surely, 21001100144 is an apocalyptic number.

It is an amenable number.

1001100144 is an abundant number, since it is smaller than the sum of its proper divisors (1820183568).

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

1001100144 is a wasteful number, since it uses less digits than its factorization.

1001100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896045 (or 1896039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1001100144 is about 31640.1666240872. The cubic root of 1001100144 is about 1000.3665802692.

Adding to 1001100144 its reverse (4410011001), we get a palindrome (5411111145).

It can be divided in two parts, 10011001 and 44, that multiplied together give a palindrome (440484044).

The spelling of 1001100144 in words is "one billion, one million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1896023 3792046 5688069 7584092 11376138 15168184 20856253 22752276 30336368 41712506 45504552 62568759 83425012 91009104 125137518 166850024 250275036 333700048 500550072 1001100144