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31531124000 = 255317463693
BaseRepresentation
bin11101010111011001…
…101100010100100000
310000101110101001122102
4131113121230110200
51004033431432000
622252445225532
72164241063135
oct352731542440
9100343331572
1031531124000
1112410552172
12613b8622a8
132c86663b2c
14175193058c
15c482703d5
hex75766c520

31531124000 has 96 divisors (see below), whose sum is σ = 82029323376. Its totient is φ = 11870515200.

The previous prime is 31531123991. The next prime is 31531124021. The reversal of 31531124000 is 42113513.

It can be written as a sum of positive squares in 8 ways, for example, as 4347028624 + 27184095376 = 65932^2 + 164876^2 .

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163847 + ... + 299846.

Almost surely, 231531124000 is an apocalyptic number.

It is an amenable number.

31531124000 is an abundant number, since it is smaller than the sum of its proper divisors (50498199376).

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

31531124000 is a wasteful number, since it uses less digits than its factorization.

31531124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463735 (or 463717 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 31531124000 its reverse (42113513), we get a palindrome (31573237513).

The spelling of 31531124000 in words is "thirty-one billion, five hundred thirty-one million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 463693 927386 1854772 2318465 3709544 4636930 7419088 7882781 9273860 11592325 14838176 15765562 18547720 23184650 31531124 37095440 39413905 46369300 57961625 63062248 74190880 78827810 92738600 115923250 126124496 157655620 185477200 197069525 231846500 252248992 315311240 370954400 394139050 463693000 630622480 788278100 927386000 985347625 1261244960 1576556200 1854772000 1970695250 3153112400 3941390500 6306224800 7882781000 15765562000 31531124000