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31310113200 = 2435235972679
BaseRepresentation
bin11101001010001110…
…100110100110110000
32222211001111112211020
4131022032212212300
51003110342110300
622214512215440
72155615366602
oct351216464660
988731445736
1031310113200
1112307819513
12609983a580
132c4c931302
14173043d172
15c33b658a0
hex74a3a69b0

31310113200 has 120 divisors (see below), whose sum is σ = 100577491200. Its totient is φ = 8325991680.

The previous prime is 31310113199. The next prime is 31310113201. The reversal of 31310113200 is 231101313.

It is an interprime number because it is at equal distance from previous prime (31310113199) and next prime (31310113201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31310113200.

It is not an unprimeable number, because it can be changed into a prime (31310113201) 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 23 ways as a sum of consecutive naturals, for example, 394461 + ... + 467139.

It is an arithmetic number, because the mean of its divisors is an integer number (838145760).

Almost surely, 231310113200 is an apocalyptic number.

31310113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31310113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50288745600).

31310113200 is an abundant number, since it is smaller than the sum of its proper divisors (69267378000).

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

31310113200 is a wasteful number, since it uses less digits than its factorization.

31310113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73059 (or 73048 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31310113200 its reverse (231101313), we get a palindrome (31541214513).

The spelling of 31310113200 in words is "thirty-one billion, three hundred ten million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 359 400 600 718 1077 1200 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 8975 10770 14360 17232 17950 21540 26925 28720 35900 43080 53850 71800 72679 86160 107700 143600 145358 215400 218037 290716 363395 430800 436074 581432 726790 872148 1090185 1162864 1453580 1744296 1816975 2180370 2907160 3488592 3633950 4360740 5450925 5814320 7267900 8721480 10901850 14535800 17442960 21803700 26091761 29071600 43607400 52183522 78275283 87214800 104367044 130458805 156550566 208734088 260917610 313101132 391376415 417468176 521835220 626202264 652294025 782752830 1043670440 1252404528 1304588050 1565505660 1956882075 2087340880 2609176100 3131011320 3913764150 5218352200 6262022640 7827528300 10436704400 15655056600 31310113200