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31312130200 = 23521312899343
BaseRepresentation
bin11101001010010110…
…010011000010011000
32222211012022000121221
4131022112103002120
51003111401131300
622215023341424
72155641500221
oct351226230230
988735260557
1031312130200
111230897695a
12609a451874
132c501893c0
141730806248
15c33e1331a
hex74a593098

31312130200 has 96 divisors (see below), whose sum is σ = 78469977600. Its totient is φ = 11551196160.

The previous prime is 31312130173. The next prime is 31312130203. The reversal of 31312130200 is 203121313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3346729 + ... + 3356071.

It is an arithmetic number, because the mean of its divisors is an integer number (817395600).

Almost surely, 231312130200 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 31312130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39234988800).

31312130200 is an abundant number, since it is smaller than the sum of its proper divisors (47157847400).

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

31312130200 is a wasteful number, since it uses less digits than its factorization.

31312130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31312130200 its reverse (203121313), we get a palindrome (31515251513).

The spelling of 31312130200 in words is "thirty-one billion, three hundred twelve million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1289 1300 2578 2600 5156 6445 9343 10312 12890 16757 18686 25780 32225 33514 37372 46715 51560 64450 67028 74744 83785 93430 121459 128900 134056 167570 186860 233575 242918 257800 335140 373720 418925 467150 485836 607295 670280 837850 934300 971672 1214590 1675700 1868600 2429180 3036475 3351400 4858360 6072950 12043127 12145900 24086254 24291800 48172508 60215635 96345016 120431270 156560651 240862540 301078175 313121302 481725080 602156350 626242604 782803255 1204312700 1252485208 1565606510 2408625400 3131213020 3914016275 6262426040 7828032550 15656065100 31312130200