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2000233131 = 31323945233
BaseRepresentation
bin111011100111001…
…0010001010101011
312011101210101000120
41313032102022223
513044024430011
6530251534323
7100365462321
oct16716221253
95141711016
102000233131
11937096836
12479a5a3a3
1325b529500
1414d919d11
15ba90ba06
hex773922ab

2000233131 has 12 divisors (see below), whose sum is σ = 2887911288. Its totient is φ = 1230912384.

The previous prime is 2000233121. The next prime is 2000233133. The reversal of 2000233131 is 1313320002.

It is not a de Polignac number, because 2000233131 - 214 = 2000216747 is a prime.

It is a super-2 number, since 2×20002331312 = 8001865156700126322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000233131.

It is not an unprimeable number, because it can be changed into a prime (2000233133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1972110 + ... + 1973123.

It is an arithmetic number, because the mean of its divisors is an integer number (240659274).

Almost surely, 22000233131 is an apocalyptic number.

2000233131 is a deficient number, since it is larger than the sum of its proper divisors (887678157).

2000233131 is a wasteful number, since it uses less digits than its factorization.

2000233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945262 (or 3945249 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2000233131 is about 44723.9659578620. The cubic root of 2000233131 is about 1259.9700024352.

Adding to 2000233131 its reverse (1313320002), we get a palindrome (3313553133).

The spelling of 2000233131 in words is "two billion, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 13 39 169 507 3945233 11835699 51288029 153864087 666744377 2000233131