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31003441000 = 2353731142873
BaseRepresentation
bin11100110111111100…
…101111011101101000
32222000200102222122121
4130313330233131220
51001443340103000
622124235201024
72145202620550
oct346774573550
988020388577
1031003441000
111216a6a8114
126012ba6174
132c0123857c
141701810160
15c16c89b1a
hex737f2f768

31003441000 has 128 divisors (see below), whose sum is σ = 85587240960. Its totient is φ = 10286784000.

The previous prime is 31003440997. The next prime is 31003441003. The reversal of 31003441000 is 14430013.

It is an interprime number because it is at equal distance from previous prime (31003440997) and next prime (31003441003).

It is a super-2 number, since 2×310034410002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31003441003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145564 + ... + 288436.

It is an arithmetic number, because the mean of its divisors is an integer number (668650320).

Almost surely, 231003441000 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 31003441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793620480).

31003441000 is an abundant number, since it is smaller than the sum of its proper divisors (54583799960).

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

31003441000 is a wasteful number, since it uses less digits than its factorization.

31003441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142932 (or 142918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31003441000 its reverse (14430013), we get a palindrome (31017871013).

The spelling of 31003441000 in words is "thirty-one billion, three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 142873 217000 285746 571492 714365 1000111 1142984 1428730 2000222 2857460 3571825 4000444 4429063 5000555 5714920 7143650 8000888 8858126 10001110 14287300 17716252 17859125 20002220 22145315 25002775 28574600 31003441 35432504 35718250 40004440 44290630 50005550 62006882 71436500 88581260 100011100 110726575 124013764 125013875 142873000 155017205 177162520 200022200 221453150 248027528 250027750 310034410 442906300 500055500 553632875 620068820 775086025 885812600 1000111000 1107265750 1240137640 1550172050 2214531500 3100344100 3875430125 4429063000 6200688200 7750860250 15501720500 31003441000