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31331000 = 2353171997
BaseRepresentation
bin111011110000…
…1001010111000
32011221210001102
41313201022320
531010043000
63035310532
7530211011
oct167411270
964853042
1031331000
111675a498
12a5ab448
13664ca6c
144238008
152b3d3d5
hex1de12b8

31331000 has 128 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 11059200.

The previous prime is 31330993. The next prime is 31331023. The reversal of 31331000 is 13313.

It is a super-2 number, since 2×313310002 = 1963263122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322952 + ... + 323048.

Almost surely, 231331000 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 31331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

31331000 is an abundant number, since it is smaller than the sum of its proper divisors (51224200).

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

31331000 is a wasteful number, since it uses less digits than its factorization.

31331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 31331000 is about 5597.4101154016. The cubic root of 31331000 is about 315.2521706270.

Adding to 31331000 its reverse (13313), we get a palindrome (31344313).

It can be divided in two parts, 313 and 31000, that added together give a palindrome (31313).

The spelling of 31331000 in words is "thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 97 100 125 136 152 170 190 194 200 250 323 340 380 388 425 475 485 500 646 680 760 776 850 950 970 1000 1292 1615 1649 1700 1843 1900 1940 2125 2375 2425 2584 3230 3298 3400 3686 3800 3880 4250 4750 4850 6460 6596 7372 8075 8245 8500 9215 9500 9700 12125 12920 13192 14744 16150 16490 17000 18430 19000 19400 24250 31331 32300 32980 36860 40375 41225 46075 48500 62662 64600 65960 73720 80750 82450 92150 97000 125324 156655 161500 164900 184300 206125 230375 250648 313310 323000 329800 368600 412250 460750 626620 783275 824500 921500 1253240 1566550 1649000 1843000 3133100 3916375 6266200 7832750 15665500 31331000