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31115345430 = 23513261100609
BaseRepresentation
bin11100111110100111…
…100111111000010110
32222022111000022200010
4130332213213320112
51002211012023210
622143313501050
72151032033541
oct347647477026
988274008603
1031115345430
111221788a614
126044571786
132c1b489700
14171261d858
15c219e1920
hex73e9e7e16

31115345430 has 96 divisors (see below), whose sum is σ = 82189516320. Its totient is φ = 7533527040.

The previous prime is 31115345419. The next prime is 31115345449. The reversal of 31115345430 is 3454351113.

It is a super-3 number, since 3×311153454303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258966 + ... + 359574.

It is an arithmetic number, because the mean of its divisors is an integer number (856140795).

Almost surely, 231115345430 is an apocalyptic number.

31115345430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31115345430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094758160).

31115345430 is an abundant number, since it is smaller than the sum of its proper divisors (51074170890).

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

31115345430 is a wasteful number, since it uses less digits than its factorization.

31115345430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100706 (or 100693 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 31115345430 its reverse (3454351113), we get a palindrome (34569696543).

The spelling of 31115345430 in words is "thirty-one billion, one hundred fifteen million, three hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 169 183 195 305 338 366 390 507 610 793 845 915 1014 1586 1690 1830 2379 2535 3965 4758 5070 7930 10309 11895 20618 23790 30927 51545 61854 100609 103090 154635 201218 301827 309270 503045 603654 1006090 1307917 1509135 2615834 3018270 3923751 6137149 6539585 7847502 12274298 13079170 17002921 18411447 19618755 30685745 34005842 36822894 39237510 51008763 61371490 79782937 85014605 92057235 102017526 159565874 170029210 184114470 239348811 255043815 398914685 478697622 510087630 797829370 1037178181 1196744055 2074356362 2393488110 3111534543 5185890905 6223069086 10371781810 15557672715 31115345430