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31243634213 = 11229101199443
BaseRepresentation
bin11101000110010001…
…000000011000100101
32222122102102001210112
4131012101000120211
51002441332243323
622204135302405
72154150336401
oct350621003045
988572361715
1031243634213
1112283242900
12607b51aa05
132c3bc2632c
141725696101
15c2cdd3178
hex746440625

31243634213 has 48 divisors (see below), whose sum is σ = 36139824000. Its totient is φ = 26954928000.

The previous prime is 31243634189. The next prime is 31243634251.

31243634213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31243634213 - 226 = 31176525349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31243634213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243634293) 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 47 ways as a sum of consecutive naturals, for example, 70527170 + ... + 70527612.

It is an arithmetic number, because the mean of its divisors is an integer number (752913000).

Almost surely, 231243634213 is an apocalyptic number.

It is an amenable number.

31243634213 is a deficient number, since it is larger than the sum of its proper divisors (4896189787).

31243634213 is a wasteful number, since it uses less digits than its factorization.

31243634213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

The spelling of 31243634213 in words is "thirty-one billion, two hundred forty-three million, six hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 11 29 101 121 199 319 443 1111 2189 2929 3509 4873 5771 12221 12847 20099 24079 32219 44743 53603 63481 88157 141317 221089 354409 492173 582871 698291 969727 1297547 1554487 2431979 2556553 5413903 6411581 8903857 10666997 14273017 28122083 70527391 97942427 157003187 258211853 309342913 1077366697 2840330383 31243634213