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2003300131 = 71949130677
BaseRepresentation
bin111011101100111…
…1110111100100011
312011121120012011011
41313121332330203
513100321101011
6530441401351
7100433525110
oct16731767443
95147505134
102003300131
119388a1048
1247aa99257
1325c0614c1
141500b7907
15bad15621
hex7767ef23

2003300131 has 16 divisors (see below), whose sum is σ = 2414972160. Its totient is φ = 1623373920.

The previous prime is 2003300119. The next prime is 2003300137. The reversal of 2003300131 is 1310033002.

It is not a de Polignac number, because 2003300131 - 211 = 2003298083 is a prime.

It is a super-2 number, since 2×20033001312 = 8026422829729234322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003300137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49965 + ... + 80641.

It is an arithmetic number, because the mean of its divisors is an integer number (150935760).

Almost surely, 22003300131 is an apocalyptic number.

2003300131 is a deficient number, since it is larger than the sum of its proper divisors (411672029).

2003300131 is a wasteful number, since it uses less digits than its factorization.

2003300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31194.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2003300131 is about 44758.2409283475. The cubic root of 2003300131 is about 1260.6136531732.

Adding to 2003300131 its reverse (1310033002), we get a palindrome (3313333133).

The spelling of 2003300131 in words is "two billion, three million, three hundred thousand, one hundred thirty-one".

Divisors: 1 7 19 133 491 3437 9329 30677 65303 214739 582863 4080041 15062407 105436849 286185733 2003300131