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31316220 = 22345131487
BaseRepresentation
bin111011101110…
…1100011111100
32011221000210000
41313131203330
531004104340
63035114300
7530116635
oct167354374
964830700
1031316220
111674a381
12a5a2990
136646110
14423288c
152b38d30
hex1ddd8fc

31316220 has 120 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 7703424.

The previous prime is 31316213. The next prime is 31316249. The reversal of 31316220 is 2261313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31316193 and 31316202.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 20317 + ... + 21803.

Almost surely, 231316220 is an apocalyptic number.

31316220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31316220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

31316220 is an abundant number, since it is smaller than the sum of its proper divisors (74552004).

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

31316220 is a wasteful number, since it uses less digits than its factorization.

31316220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31316220 is about 5596.0897062145. The cubic root of 31316220 is about 315.2025907652.

Adding to 31316220 its reverse (2261313), we get a palindrome (33577533).

The spelling of 31316220 in words is "thirty-one million, three hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1487 1620 1755 2106 2340 2974 3510 4212 4461 5265 5948 7020 7435 8922 10530 13383 14870 17844 19331 21060 22305 26766 29740 38662 40149 44610 53532 57993 66915 77324 80298 89220 96655 115986 120447 133830 160596 173979 193310 200745 231972 240894 267660 289965 347958 386620 401490 481788 521937 579930 602235 695916 802980 869895 1043874 1159860 1204470 1565811 1739790 2087748 2408940 2609685 3131622 3479580 5219370 6263244 7829055 10438740 15658110 31316220