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1032130120 = 235723116987
BaseRepresentation
bin111101100001010…
…000111001001000
32122221010122100111
4331201100321020
54103211130440
6250230044104
734401650500
oct7541207110
92587118314
101032130120
1148a6796aa
122497a9634
13135aa98a8
149b112a00
156092b4ea
hex3d850e48

1032130120 has 96 divisors (see below), whose sum is σ = 2788750080. Its totient is φ = 342437760.

The previous prime is 1032130067. The next prime is 1032130147. The reversal of 1032130120 is 210312301.

It is a super-2 number, since 2×10321301202 = 2130585169222428800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1032130120.

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 23 ways as a sum of consecutive naturals, for example, 52267 + ... + 69253.

It is an arithmetic number, because the mean of its divisors is an integer number (29049480).

Almost surely, 21032130120 is an apocalyptic number.

1032130120 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 1032130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394375040).

1032130120 is an abundant number, since it is smaller than the sum of its proper divisors (1756619960).

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

1032130120 is a wasteful number, since it uses less digits than its factorization.

1032130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17043 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1032130120 is about 32126.7819739233. The cubic root of 1032130120 is about 1010.5973396851.

Adding to 1032130120 its reverse (210312301), we get a palindrome (1242442421).

The spelling of 1032130120 in words is "one billion, thirty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 16987 30380 33974 60760 67948 84935 118909 135896 169870 237818 339740 475636 526597 594545 679480 832363 951272 1053194 1189090 1664726 2106388 2378180 2632985 3329452 3686179 4161815 4212776 4756360 5265970 6658904 7372358 8323630 10531940 14744716 16647260 18430895 21063880 25803253 29489432 33294520 36861790 51606506 73723580 103213012 129016265 147447160 206426024 258032530 516065060 1032130120