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31241331016 = 2372617129169
BaseRepresentation
bin11101000110001000…
…001110000101001000
32222122021002001101221
4131012020032011020
51002440240043031
622204014051424
72154121634500
oct350610160510
988567061357
1031241331016
1112281a0a435
12607a7a9b74
132c3b5cabac
141725256a00
15c2cacaa11
hex74620e148

31241331016 has 48 divisors (see below), whose sum is σ = 68252136300. Its totient is φ = 13367337984.

The previous prime is 31241330971. The next prime is 31241331019. The reversal of 31241331016 is 61013314213.

It can be written as a sum of positive squares in 2 ways, for example, as 22545022500 + 8696308516 = 150150^2 + 93254^2 .

It is not an unprimeable number, because it can be changed into a prime (31241331019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177280 + ... + 306448.

Almost surely, 231241331016 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 31241331016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34126068150).

31241331016 is an abundant number, since it is smaller than the sum of its proper divisors (37010805284).

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

31241331016 is a wasteful number, since it uses less digits than its factorization.

31241331016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129806 (or 129795 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 31241331016 its reverse (61013314213), we get a palindrome (92254645229).

The spelling of 31241331016 in words is "thirty-one billion, two hundred forty-one million, three hundred thirty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 617 1234 2468 4319 4936 8638 17276 30233 34552 60466 120932 129169 241864 258338 516676 904183 1033352 1808366 3616732 6329281 7233464 12658562 25317124 50634248 79697273 159394546 318789092 557880911 637578184 1115761822 2231523644 3905166377 4463047288 7810332754 15620665508 31241331016