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31231130000 = 24547263737
BaseRepresentation
bin11101000101100001…
…010011100110010000
32222121112212210020112
4131011201103212100
51002430132130000
622203011300452
72153636140100
oct350541234620
988545783215
1031231130000
1112277182244
1260772aa728
132c394689a5
141723b5d200
15c2bc63235
hex745853990

31231130000 has 150 divisors (see below), whose sum is σ = 87960160926. Its totient is φ = 10707648000.

The previous prime is 31231129987. The next prime is 31231130003. The reversal of 31231130000 is 3113213.

It can be written as a sum of positive squares in 5 ways, for example, as 23638447504 + 7592682496 = 153748^2 + 87136^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (31231130003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 458132 + ... + 521868.

Almost surely, 231231130000 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 31231130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43980080463).

31231130000 is an abundant number, since it is smaller than the sum of its proper divisors (56729030926).

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

31231130000 is an equidigital number, since it uses as much as digits as its factorization.

31231130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63779 (or 63751 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31231130000 its reverse (3113213), we get a palindrome (31234243213).

The spelling of 31231130000 in words is "thirty-one billion, two hundred thirty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 63737 70000 98000 122500 127474 245000 254948 318685 446159 490000 509896 637370 892318 1019792 1274740 1593425 1784636 2230795 2549480 3123113 3186850 3569272 4461590 5098960 6246226 6373700 7138544 7967125 8923180 11153975 12492452 12747400 15615565 15934250 17846360 22307950 24984904 25494800 31231130 31868500 35692720 39835625 44615900 49969808 55769875 62462260 63737000 78077825 79671250 89231800 111539750 124924520 127474000 156155650 159342500 178463600 223079500 249849040 278849375 312311300 318685000 390389125 446159000 557698750 624622600 637370000 780778250 892318000 1115397500 1249245200 1561556500 1951945625 2230795000 3123113000 3903891250 4461590000 6246226000 7807782500 15615565000 31231130000