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1031241420 = 22325111730637
BaseRepresentation
bin111101011101110…
…111111011001100
32122212110111021200
4331131313323030
54102444211140
6250155025500
734361256516
oct7535677314
92585414250
101031241420
1148a121a40
1224943b290
13135858231
149ad60bb6
1560803030
hex3d777ecc

1031241420 has 144 divisors (see below), whose sum is σ = 3613323168. Its totient is φ = 235284480.

The previous prime is 1031241401. The next prime is 1031241427. The reversal of 1031241420 is 241421301.

1031241420 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 241 + 420 = 666.

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 = 1031241393 and 1031241402.

It is not an unprimeable number, because it can be changed into a prime (1031241427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18342 + ... + 48978.

It is an arithmetic number, because the mean of its divisors is an integer number (25092522).

Almost surely, 21031241420 is an apocalyptic number.

1031241420 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 1031241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806661584).

1031241420 is an abundant number, since it is smaller than the sum of its proper divisors (2582081748).

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

1031241420 is a wasteful number, since it uses less digits than its factorization.

1031241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680 (or 30675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1031241420 is about 32112.9478559661. The cubic root of 1031241420 is about 1010.3072032214.

Adding to 1031241420 its reverse (241421301), we get a palindrome (1272662721).

The spelling of 1031241420 in words is "one billion, thirty-one million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 30637 33660 61274 91911 122548 153185 183822 275733 306370 337007 367644 459555 520829 551466 612740 674014 919110 1011021 1041658 1102932 1348028 1378665 1562487 1685035 1838220 2022042 2083316 2604145 2757330 3033063 3124974 3370070 4044084 4687461 5055105 5208290 5514660 5729119 6066126 6249948 6740140 7812435 9374922 10110210 10416580 11458238 12132252 15165315 15624870 17187357 18749844 20220420 22916476 23437305 28645595 30330630 31249740 34374714 46874610 51562071 57291190 60661260 68749428 85936785 93749220 103124142 114582380 171873570 206248284 257810355 343747140 515620710 1031241420