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31513340000 = 25542576131
BaseRepresentation
bin11101010110010101…
…110110100001100000
310000100012220112120202
4131112111312201200
51004014403340000
622251012124332
72163633653552
oct352625664140
9100305815522
1031513340000
111240150584a
1261359066a8
132c82a7825c
14174d4214d2
15c4690add5
hex756576860

31513340000 has 120 divisors (see below), whose sum is σ = 77841901368. Its totient is φ = 12554240000.

The previous prime is 31513339987. The next prime is 31513340003. The reversal of 31513340000 is 4331513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31513340003) 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 19 ways as a sum of consecutive naturals, for example, 5136935 + ... + 5143065.

Almost surely, 231513340000 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 31513340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38920950684).

31513340000 is an abundant number, since it is smaller than the sum of its proper divisors (46328561368).

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

31513340000 is an equidigital number, since it uses as much as digits as its factorization.

31513340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 31513340000 its reverse (4331513), we get a palindrome (31517671513).

The spelling of 31513340000 in words is "thirty-one billion, five hundred thirteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 4000 4112 5000 5140 6131 6425 8224 10000 10280 12262 12850 20000 20560 24524 25700 30655 32125 41120 49048 51400 61310 64250 98096 102800 122620 128500 153275 160625 196192 205600 245240 257000 306550 321250 490480 514000 613100 642500 766375 980960 1028000 1226200 1285000 1532750 1575667 2452400 2570000 3065500 3151334 3831875 4904800 5140000 6131000 6302668 7663750 7878335 12262000 12605336 15327500 15756670 24524000 25210672 30655000 31513340 39391675 50421344 61310000 63026680 78783350 122620000 126053360 157566700 196958375 252106720 315133400 393916750 630266800 787833500 984791875 1260533600 1575667000 1969583750 3151334000 3939167500 6302668000 7878335000 15756670000 31513340000