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131003303032 = 23723182355793
BaseRepresentation
bin111101000000001100…
…1111100010001111000
3110112010211211022122101
41322000121330101320
54121243321144112
6140103155233144
712315245463040
oct1720031742170
9415124738571
10131003303032
1150615a49598
12214808a87b4
13c4799ca274
1464aa836720
15361ae98757
hex1e8067c478

131003303032 has 64 divisors (see below), whose sum is σ = 293092577280. Its totient is φ = 53672796672.

The previous prime is 131003303029. The next prime is 131003303047. The reversal of 131003303032 is 230303300131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2320128 + ... + 2375920.

It is an arithmetic number, because the mean of its divisors is an integer number (4579571520).

Almost surely, 2131003303032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146546288640).

131003303032 is an abundant number, since it is smaller than the sum of its proper divisors (162089274248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131003303032 is a wasteful number, since it uses less digits than its factorization.

131003303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57652 (or 57648 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 131003303032 its reverse (230303300131), we get a palindrome (361306603163).

The spelling of 131003303032 in words is "one hundred thirty-one billion, three million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1823 3646 7292 12761 14584 25522 41929 51044 55793 83858 102088 111586 167716 223172 293503 335432 390551 446344 587006 781102 1174012 1283239 1562204 2348024 2566478 3124408 5132956 8982673 10265912 17965346 35930692 71861384 101710639 203421278 406842556 711974473 813685112 1423948946 2339344697 2847897892 4678689394 5695795784 9357378788 16375412879 18714757576 32750825758 65501651516 131003303032