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2003014410100 = 2252112165538381
BaseRepresentation
bin11101001001011100111…
…101100101111101110100
321002111010111222202020121
4131021130331211331310
5230304133142110400
64132101102141324
7264466364365504
oct35113475457564
97074114882217
102003014410100
11702523463800
12284245581844
13116b63c228a2
146cd36d67a04
153718296b21a
hex1d25cf65f74

2003014410100 has 54 divisors (see below), whose sum is σ = 4777603242902. Its totient is φ = 728368872000.

The previous prime is 2003014410097. The next prime is 2003014410101. The reversal of 2003014410100 is 10144103002.

It can be written as a sum of positive squares in 3 ways, for example, as 15963311716 + 1987051098384 = 126346^2 + 1409628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003014410101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82757091 + ... + 82781290.

Almost surely, 22003014410100 is an apocalyptic number.

2003014410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003014410100 is an abundant number, since it is smaller than the sum of its proper divisors (2774588832802).

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

2003014410100 is a wasteful number, since it uses less digits than its factorization.

2003014410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165538417 (or 165538399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2003014410100 its reverse (10144103002), we get a palindrome (2013158513102).

The spelling of 2003014410100 in words is "two trillion, three billion, fourteen million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 165538381 331076762 662153524 827691905 1655383810 1820922191 3310767620 3641844382 4138459525 7283688764 8276919050 9104610955 16553838100 18209221910 20030144101 36418443820 40060288202 45523054775 80120576404 91046109550 100150720505 182092219100 200301441010 400602882020 500753602525 1001507205050 2003014410100