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1031072220 = 2233517910667
BaseRepresentation
bin111101011101001…
…110100111011100
32122212010220012000
4331131032213130
54102423302340
6250151242300
734356653313
oct7535164734
92585126160
101031072220
1148a016902
12249379390
131357c9209
149ad1927a
15607bcd30
hex3d74e9dc

1031072220 has 96 divisors (see below), whose sum is σ = 3226003200. Its totient is φ = 273390912.

The previous prime is 1031072201. The next prime is 1031072239. The reversal of 1031072220 is 222701301.

It is an interprime number because it is at equal distance from previous prime (1031072201) and next prime (1031072239).

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 = 1031072193 and 1031072202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91327 + ... + 101993.

It is an arithmetic number, because the mean of its divisors is an integer number (33604200).

Almost surely, 21031072220 is an apocalyptic number.

1031072220 is a gapful number since it is divisible by the number (10) 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 1031072220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613001600).

1031072220 is an abundant number, since it is smaller than the sum of its proper divisors (2194930980).

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

1031072220 is a wasteful number, since it uses less digits than its factorization.

1031072220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1031072220 is about 32110.3132965096. The cubic root of 1031072220 is about 1010.2519451200.

Adding to 1031072220 its reverse (222701301), we get a palindrome (1253773521).

The spelling of 1031072220 in words is "one billion, thirty-one million, seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10667 10740 16110 19332 21334 24165 32001 32220 42668 48330 53335 64002 96003 96660 106670 128004 160005 192006 213340 288009 320010 384012 480015 576018 640020 960030 1152036 1440045 1909393 1920060 2880090 3818786 5728179 5760180 7637572 9546965 11456358 17184537 19093930 22912716 28640895 34369074 38187860 51553611 57281790 68738148 85922685 103107222 114563580 171845370 206214444 257768055 343690740 515536110 1031072220