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3024121000 = 2353372472
BaseRepresentation
bin1011010001000000…
…0110110010101000
321210202102021010111
42310100012302220
522143133333000
61220025224104
7134640414205
oct26420066250
97722367114
103024121000
11131204595a
12704932034
133926ab614
142098c4cac
1512a75acba
hexb4406ca8

3024121000 has 144 divisors (see below), whose sum is σ = 7430901660. Its totient is φ = 1151913600.

The previous prime is 3024120989. The next prime is 3024121033. The reversal of 3024121000 is 1214203.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1063933924 + 1960187076 = 32618^2 + 44274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64342977 + ... + 64343023.

Almost surely, 23024121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715450830).

3024121000 is an abundant number, since it is smaller than the sum of its proper divisors (4406780660).

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

3024121000 is an equidigital number, since it uses as much as digits as its factorization.

3024121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3024121000 is about 54992.0085103281. The cubic root of 3024121000 is about 1446.1046457620.

Adding to 3024121000 its reverse (1214203), we get a palindrome (3025335203).

The spelling of 3024121000 in words is "three billion, twenty-four million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 47 50 74 94 100 125 148 185 188 200 235 250 296 370 376 470 500 740 925 940 1000 1175 1369 1480 1739 1850 1880 2209 2350 2738 3478 3700 4418 4625 4700 5476 5875 6845 6956 7400 8695 8836 9250 9400 10952 11045 11750 13690 13912 17390 17672 18500 22090 23500 27380 34225 34780 37000 43475 44180 47000 54760 55225 64343 68450 69560 81733 86950 88360 110450 128686 136900 163466 171125 173900 217375 220900 257372 273800 276125 321715 326932 342250 347800 408665 434750 441800 514744 552250 643430 653864 684500 817330 869500 1104500 1286860 1369000 1608575 1634660 1739000 2043325 2209000 2573720 3024121 3217150 3269320 4086650 6048242 6434300 8042875 8173300 10216625 12096484 12868600 15120605 16085750 16346600 20433250 24192968 30241210 32171500 40866500 60482420 64343000 75603025 81733000 120964840 151206050 302412100 378015125 604824200 756030250 1512060500 3024121000