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3009102000 = 243531729501
BaseRepresentation
bin1011001101011011…
…0100000010110000
321202201011012221020
42303112310002300
522130312231000
61214331255440
7134365642062
oct26326640260
97681135836
103009102000
111304617963
126bb8aa580
1338c550438
142078d5732
15129290ba0
hexb35b40b0

3009102000 has 160 divisors (see below), whose sum is σ = 10272360384. Its totient is φ = 755200000.

The previous prime is 3009101993. The next prime is 3009102007. The reversal of 3009102000 is 2019003.

It is an interprime number because it is at equal distance from previous prime (3009101993) and next prime (3009102007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3009102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87250 + ... + 116750.

Almost surely, 23009102000 is an apocalyptic number.

3009102000 is a gapful number since it is divisible by the number (30) 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 3009102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136180192).

3009102000 is an abundant number, since it is smaller than the sum of its proper divisors (7263258384).

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

3009102000 is a wasteful number, since it uses less digits than its factorization.

3009102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29544 (or 29528 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3009102000 is about 54855.2823345209. The cubic root of 3009102000 is about 1443.7066927284.

The spelling of 3009102000 in words is "three billion, nine million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 29501 34000 51000 59002 88503 102000 118004 147505 177006 236008 295010 354012 442515 472016 501517 590020 708024 737525 885030 1003034 1180040 1416048 1475050 1504551 1770060 2006068 2212575 2360080 2507585 2950100 3009102 3540120 3687625 4012136 4425150 5015170 5900200 6018204 7080240 7375250 7522755 8024272 8850300 10030340 11062875 11800400 12036408 12537925 14750500 15045510 17700600 20060680 22125750 24072816 25075850 29501000 30091020 35401200 37613775 40121360 44251500 50151700 59002000 60182040 62689625 75227550 88503000 100303400 120364080 125379250 150455100 177006000 188068875 200606800 250758500 300910200 376137750 501517000 601820400 752275500 1003034000 1504551000 3009102000