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1003132002000 = 24353167188667
BaseRepresentation
bin11101001100011110101…
…00111001111011010000
310112220020222211121112010
432212033110321323100
5112413403243031000
62044455452102520
7132321355221132
oct16461724717320
93486228747463
101003132002000
113574759553a7
121424b6a64a40
1373797119b6b
14367a23b1052
151b1616d1d50
hexe98f539ed0

1003132002000 has 80 divisors (see below), whose sum is σ = 3234097593792. Its totient is φ = 267501865600.

The previous prime is 1003132001953. The next prime is 1003132002023. The reversal of 1003132002000 is 2002313001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83588334 + ... + 83600333.

Almost surely, 21003132002000 is an apocalyptic number.

1003132002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003132002000 is an abundant number, since it is smaller than the sum of its proper divisors (2230965591792).

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

1003132002000 is a wasteful number, since it uses less digits than its factorization.

1003132002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167188693 (or 167188677 counting only the distinct ones).

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

Adding to 1003132002000 its reverse (2002313001), we get a palindrome (1005134315001).

The spelling of 1003132002000 in words is "one trillion, three billion, one hundred thirty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 167188667 334377334 501566001 668754668 835943335 1003132002 1337509336 1671886670 2006264004 2507830005 2675018672 3343773340 4012528008 4179716675 5015660010 6687546680 8025056016 8359433350 10031320020 12539150025 13375093360 16718866700 20062640040 20898583375 25078300050 33437733400 40125280080 41797166750 50156600100 62695750125 66875466800 83594333500 100313200200 125391500250 167188667000 200626400400 250783000500 334377334000 501566001000 1003132002000