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1032130000 = 2454112853
BaseRepresentation
bin111101100001010…
…000110111010000
32122221010122012001
4331201100313100
54103211130000
6250230043344
734401650236
oct7541206720
92587118161
101032130000
1148a679600
122497a9554
13135aa9815
149b112956
156092b46a
hex3d850dd0

1032130000 has 150 divisors (see below), whose sum is σ = 2749933802. Its totient is φ = 374880000.

The previous prime is 1032129979. The next prime is 1032130031. The reversal of 1032130000 is 312301.

It can be written as a sum of positive squares in 5 ways, for example, as 680792464 + 351337536 = 26092^2 + 18744^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209574 + ... + 1210426.

Almost surely, 21032130000 is an apocalyptic number.

1032130000 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 1032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374966901).

1032130000 is an abundant number, since it is smaller than the sum of its proper divisors (1717803802).

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

1032130000 is an equidigital number, since it uses as much as digits as its factorization.

1032130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1032130000 is about 32126.7801063225. The cubic root of 1032130000 is about 1010.5973005196.

Adding to 1032130000 its reverse (312301), we get a palindrome (1032442301).

The spelling of 1032130000 in words is "one billion, thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 853 880 968 1000 1100 1210 1250 1375 1706 1936 2000 2200 2420 2500 2750 3025 3412 4265 4400 4840 5000 5500 6050 6824 6875 8530 9383 9680 10000 11000 12100 13648 13750 15125 17060 18766 21325 22000 24200 27500 30250 34120 37532 42650 46915 48400 55000 60500 68240 75064 75625 85300 93830 103213 106625 110000 121000 150128 151250 170600 187660 206426 213250 234575 242000 302500 341200 375320 412852 426500 469150 516065 533125 605000 750640 825704 853000 938300 1032130 1066250 1172875 1210000 1651408 1706000 1876600 2064260 2132500 2345750 2580325 3753200 4128520 4265000 4691500 5160650 5864375 8257040 8530000 9383000 10321300 11728750 12901625 18766000 20642600 23457500 25803250 41285200 46915000 51606500 64508125 93830000 103213000 129016250 206426000 258032500 516065000 1032130000