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1002136293 = 3440130853
BaseRepresentation
bin111011101110110…
…110001011100101
32120211200210120000
4323232312023211
54023021330133
6243235131513
733556006104
oct7356661345
92524623500
101002136293
11474752914
1223b743b99
1312c807672
149714603b
155cea4413
hex3bbb62e5

1002136293 has 20 divisors (see below), whose sum is σ = 1500800268. Its totient is φ = 666403200.

The previous prime is 1002136259. The next prime is 1002136297. The reversal of 1002136293 is 3926312001.

1002136293 is a `hidden beast` number, since 10 + 0 + 21 + 3 + 629 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 616131684 + 386004609 = 24822^2 + 19647^2 .

It is not a de Polignac number, because 1002136293 - 26 = 1002136229 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002136297) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17055 + ... + 47907.

Almost surely, 21002136293 is an apocalyptic number.

It is an amenable number.

1002136293 is a deficient number, since it is larger than the sum of its proper divisors (498663975).

1002136293 is an equidigital number, since it uses as much as digits as its factorization.

1002136293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31266 (or 31257 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1002136293 is about 31656.5363392775. The cubic root of 1002136293 is about 1000.7115911845.

Adding to 1002136293 its reverse (3926312001), we get a palindrome (4928448294).

The spelling of 1002136293 in words is "one billion, two million, one hundred thirty-six thousand, two hundred ninety-three".

Divisors: 1 3 9 27 81 401 1203 3609 10827 30853 32481 92559 277677 833031 2499093 12372053 37116159 111348477 334045431 1002136293