Search a number
-
+
31130020102332 = 22323240491211141
BaseRepresentation
bin1110001010000000001011…
…10010100100000010111100
311002020000000121212201210210
413011000011302210002330
513040013240121233312
6150112533411432420
76362032626646044
oct705000562440274
9132200017781723
1031130020102332
119a12192876278
1235a92588b5710
13144a7187ca488
147989b5812724
1538eb6b024e3c
hex1c5005ca40bc

31130020102332 has 72 divisors (see below), whose sum is σ = 75950957048400. Its totient is φ = 9923054113280.

The previous prime is 31130020102289. The next prime is 31130020102399. The reversal of 31130020102332 is 23320102003113.

It is a junction number, because it is equal to n+sod(n) for n = 31130020102299 and 31130020102308.

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 23 ways as a sum of consecutive naturals, for example, 25097482 + ... + 26308622.

It is an arithmetic number, because the mean of its divisors is an integer number (1054874403450).

Almost surely, 231130020102332 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 31130020102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37975478524200).

31130020102332 is an abundant number, since it is smaller than the sum of its proper divisors (44820936946068).

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

31130020102332 is a wasteful number, since it uses less digits than its factorization.

31130020102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215243 (or 1215218 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31130020102332 its reverse (23320102003113), we get a palindrome (54450122105445).

The spelling of 31130020102332 in words is "thirty-one trillion, one hundred thirty billion, twenty million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 4049 6348 8098 12147 16196 24294 48588 93127 186254 279381 372508 558762 1117524 1211141 2141921 2422282 3633423 4283842 4844564 6425763 7266846 8567684 12851526 14533692 25703052 27856243 55712486 83568729 111424972 167137458 334274916 640693589 1281387178 1922080767 2562774356 3844161534 4903909909 7688323068 9807819818 14711729727 19615639636 29423459454 58846918908 112789927907 225579855814 338369783721 451159711628 676739567442 1353479134884 2594168341861 5188336683722 7782505025583 10376673367444 15565010051166 31130020102332