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31100313000 = 2335337280183
BaseRepresentation
bin11100111101101110…
…010001110110101000
32222021102201121001110
4130331232101312220
51002143140004000
622142015350320
72150460204321
oct347556216650
988242647043
1031100313000
111220a352519
12603b5223a0
132c18325393
141710629448
15c20522850
hex73db91da8

31100313000 has 128 divisors (see below), whose sum is σ = 99655845120. Its totient is φ = 8069241600.

The previous prime is 31100312981. The next prime is 31100313007. The reversal of 31100313000 is 31300113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31100313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29092 + ... + 251091.

It is an arithmetic number, because the mean of its divisors is an integer number (778561290).

Almost surely, 231100313000 is an apocalyptic number.

31100313000 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 31100313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827922560).

31100313000 is an abundant number, since it is smaller than the sum of its proper divisors (68555532120).

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

31100313000 is a wasteful number, since it uses less digits than its factorization.

31100313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280244 (or 280230 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31100313000 its reverse (31300113), we get a palindrome (31131613113).

The spelling of 31100313000 in words is "thirty-one billion, one hundred million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 280183 560366 840549 1120732 1400915 1681098 2241464 2801830 3362196 4202745 5603660 6724392 7004575 8405490 10366771 11207320 14009150 16810980 20733542 21013725 28018300 31100313 33621960 35022875 41467084 42027450 51833855 56036600 62200626 70045750 82934168 84054900 103667710 105068625 124401252 140091500 155501565 168109800 207335420 210137250 248802504 259169275 280183000 311003130 414670840 420274500 518338550 622006260 777507825 840549000 1036677100 1244012520 1295846375 1555015650 2073354200 2591692750 3110031300 3887539125 5183385500 6220062600 7775078250 10366771000 15550156500 31100313000