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990111001001000 = 2353990111001001
BaseRepresentation
bin1110000100100000000010111…
…0100000001011110000101000
311210211200200120000220010121212
43201020000232200023300220
52014233434312224013000
613425442414203052252
7415360105415506004
oct34110005640136050
94724620500803555
10990111001001000
11267530798a1958a
129306a18ab11088
13336610b38c6a38
141366d8b1899704
1579700d52cdc35
hex384802e80bc28

990111001001000 has 32 divisors (see below), whose sum is σ = 2316859742344680. Its totient is φ = 396044400400000.

The previous prime is 990111001000951. The next prime is 990111001001011. The reversal of 990111001001000 is 100100111099.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 513100328351524 + 477010672649476 = 22651718^2 + 21840574^2 .

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, 495055499501 + ... + 495055501500.

Almost surely, 2990111001001000 is an apocalyptic number.

It is an amenable number.

990111001001000 is an abundant number, since it is smaller than the sum of its proper divisors (1326748741343680).

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

990111001001000 is a wasteful number, since it uses less digits than its factorization.

990111001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990111001022 (or 990111001008 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 23.

Adding to 990111001001000 its reverse (100100111099), we get a palindrome (990211101112099).

The spelling of 990111001001000 in words is "nine hundred ninety trillion, one hundred eleven billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 990111001001 1980222002002 3960444004004 4950555005005 7920888008008 9901110010010 19802220020020 24752775025025 39604440040040 49505550050050 99011100100100 123763875125125 198022200200200 247527750250250 495055500500500 990111001001000