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1002431401 = 17736531237
BaseRepresentation
bin111011101111111…
…110001110101001
32120212020210100221
4323233332032221
54023110301101
6243245330041
733561345346
oct7357761651
92525223327
101002431401
11474934604
1223b866921
1312c8aba9a
14971c17cd
155d011aa1
hex3bbfe3a9

1002431401 has 16 divisors (see below), whose sum is σ = 1078456464. Its totient is φ = 928364544.

The previous prime is 1002431359. The next prime is 1002431411. The reversal of 1002431401 is 1041342001.

It can be written as a sum of positive squares in 8 ways, for example, as 30239001 + 972192400 = 5499^2 + 31180^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002431401 - 29 = 1002430889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002431411) 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, 809755 + ... + 810991.

It is an arithmetic number, because the mean of its divisors is an integer number (67403529).

Almost surely, 21002431401 is an apocalyptic number.

It is an amenable number.

1002431401 is a deficient number, since it is larger than the sum of its proper divisors (76025063).

1002431401 is a wasteful number, since it uses less digits than its factorization.

1002431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980.

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

The square root of 1002431401 is about 31661.1970872865. The cubic root of 1002431401 is about 1000.8098110291.

Adding to 1002431401 its reverse (1041342001), we get a palindrome (2043773402).

The spelling of 1002431401 in words is "one billion, two million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 17 73 653 1237 1241 11101 21029 47669 90301 807761 810373 1535117 13731937 58966553 1002431401