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31130914000 = 2453231813739
BaseRepresentation
bin11100111111100011…
…000000110011010000
32222100120022021201211
4130333203000303100
51002224003222000
622145031305504
72151311255134
oct347743006320
988316267654
1031130914000
11122256534aa
12604981b294
132c2177aa94
1417147133c4
15c230697ba
hex73f8c0cd0

31130914000 has 160 divisors (see below), whose sum is σ = 79002443520. Its totient is φ = 11841984000.

The previous prime is 31130913923. The next prime is 31130914007. The reversal of 31130914000 is 41903113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130914007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8324131 + ... + 8327869.

It is an arithmetic number, because the mean of its divisors is an integer number (493765272).

Almost surely, 231130914000 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 31130914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39501221760).

31130914000 is an abundant number, since it is smaller than the sum of its proper divisors (47871529520).

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

31130914000 is a wasteful number, since it uses less digits than its factorization.

31130914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 31130914000 in words is "thirty-one billion, one hundred thirty million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 181 184 200 230 250 362 368 400 460 500 575 724 905 920 1000 1150 1448 1810 1840 2000 2300 2875 2896 3620 3739 4163 4525 4600 5750 7240 7478 8326 9050 9200 11500 14480 14956 16652 18100 18695 20815 22625 23000 29912 33304 36200 37390 41630 45250 46000 59824 66608 72400 74780 83260 85997 90500 93475 104075 149560 166520 171994 181000 186950 208150 299120 333040 343988 362000 373900 416300 429985 467375 520375 676759 687976 747800 832600 859970 934750 1040750 1353518 1375952 1495600 1665200 1719940 1869500 2081500 2149925 2707036 3383795 3439880 3739000 4163000 4299850 5414072 6767590 6879760 7478000 8326000 8599700 10749625 10828144 13535180 15565457 16918975 17199400 21499250 27070360 31130914 33837950 34398800 42998500 54140720 62261828 67675900 77827285 84594875 85997000 124523656 135351800 155654570 169189750 171994000 249047312 270703600 311309140 338379500 389136425 622618280 676759000 778272850 1245236560 1353518000 1556545700 1945682125 3113091400 3891364250 6226182800 7782728500 15565457000 31130914000