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1003231413 = 3415778889
BaseRepresentation
bin111011110011000…
…001100010110101
32120220202102210000
4323303001202311
54023311401123
6243314421513
733601216632
oct7363014265
92526672700
101003231413
11475330678
1223bb91899
1312cacbc72
149734d189
155d11db43
hex3bcc18b5

1003231413 has 20 divisors (see below), whose sum is σ = 1508219020. Its totient is φ = 664552512.

The previous prime is 1003231399. The next prime is 1003231417. The reversal of 1003231413 is 3141323001.

It can be written as a sum of positive squares in 2 ways, for example, as 98545329 + 904686084 = 9927^2 + 30078^2 .

It is not a de Polignac number, because 1003231413 - 25 = 1003231381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003231417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26728 + ... + 52161.

It is an arithmetic number, because the mean of its divisors is an integer number (75410951).

Almost surely, 21003231413 is an apocalyptic number.

It is an amenable number.

1003231413 is a deficient number, since it is larger than the sum of its proper divisors (504987607).

1003231413 is an equidigital number, since it uses as much as digits as its factorization.

1003231413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79058 (or 79049 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1003231413 is about 31673.8285181946. The cubic root of 1003231413 is about 1001.0759795195.

Adding to 1003231413 its reverse (3141323001), we get a palindrome (4144554414).

The spelling of 1003231413 in words is "one billion, three million, two hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 157 471 1413 4239 12717 78889 236667 710001 2130003 6390009 12385573 37156719 111470157 334410471 1003231413