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31350150 = 232521323233
BaseRepresentation
bin111011110010…
…1110110000110
32011222202022200
41313211312012
531011201100
63035535330
7530320566
oct167456606
964882280
1031350150
1116772917
12a5ba546
1366586b0
144240da6
152b43e00
hex1de5d86

31350150 has 144 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 7349760.

The previous prime is 31350149. The next prime is 31350203. The reversal of 31350150 is 5105313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134434 + ... + 134666.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 231350150 is an apocalyptic number.

31350150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31350150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208).

31350150 is an abundant number, since it is smaller than the sum of its proper divisors (63706266).

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

31350150 is a wasteful number, since it uses less digits than its factorization.

31350150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 31350150 is about 5599.1204666447. The cubic root of 31350150 is about 315.3163865739.

Adding to 31350150 its reverse (5105313), we get a palindrome (36455463).

The spelling of 31350150 in words is "thirty-one million, three hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 25 26 30 39 45 46 50 65 69 75 78 90 115 117 130 138 150 195 207 225 230 233 234 299 325 345 390 414 450 466 575 585 598 650 690 699 897 975 1035 1150 1165 1170 1398 1495 1725 1794 1950 2070 2097 2330 2691 2925 2990 3029 3450 3495 4194 4485 5175 5359 5382 5825 5850 6058 6990 7475 8970 9087 10350 10485 10718 11650 13455 14950 15145 16077 17475 18174 20970 22425 26795 26910 27261 30290 32154 34950 44850 45435 48231 52425 53590 54522 67275 69667 75725 80385 90870 96462 104850 133975 134550 136305 139334 151450 160770 209001 227175 241155 267950 272610 348335 401925 418002 454350 482310 627003 681525 696670 803850 1045005 1205775 1254006 1363050 1741675 2090010 2411550 3135015 3483350 5225025 6270030 10450050 15675075 31350150