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1003111020100 = 225272029706267
BaseRepresentation
bin11101001100011100001…
…00110111011001000100
310112220012112100121202201
432212032010313121010
5112413332410120400
62044453422244244
7132321011662330
oct16461604673104
93486175317681
101003111020100
11357465024392
121424aba26684
1373792981837
143679d6ac7c0
151b15e93a06a
hexe98e137644

1003111020100 has 72 divisors (see below), whose sum is σ = 2488944933440. Its totient is φ = 343753787520.

The previous prime is 1003111020091. The next prime is 1003111020139. The reversal of 1003111020100 is 10201113001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067167 + ... + 1773433.

Almost surely, 21003111020100 is an apocalyptic number.

1003111020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003111020100 is an abundant number, since it is smaller than the sum of its proper divisors (1485833913340).

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

1003111020100 is a wasteful number, since it uses less digits than its factorization.

1003111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708317 (or 708310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1003111020100 its reverse (10201113001), we get a palindrome (1013312133101).

The spelling of 1003111020100 in words is "one trillion, three billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2029 4058 8116 10145 14203 20290 28406 40580 50725 56812 71015 101450 142030 202900 284060 355075 706267 710150 1412534 1420300 2825068 3531335 4943869 7062670 9887738 14125340 17656675 19775476 24719345 35313350 49438690 70626700 98877380 123596725 247193450 494386900 1433015743 2866031486 5732062972 7165078715 10031110201 14330157430 20062220402 28660314860 35825393575 40124440804 50155551005 71650787150 100311102010 143301574300 200622204020 250777755025 501555510050 1003111020100