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3102052100 = 22527191791303
BaseRepresentation
bin1011100011100101…
…1000111100000100
322000012001120111112
42320321120330010
522323111131400
61231451424152
7136605002450
oct27071307404
98005046445
103102052100
111352033724
12726a55058
133a58960b4
14215dad660
15132501835
hexb8e58f04

3102052100 has 144 divisors (see below), whose sum is σ = 8149478400. Its totient is φ = 1001185920.

The previous prime is 3102052061. The next prime is 3102052111. The reversal of 3102052100 is 12502013.

It is a happy number.

It is a super-2 number, since 2×31020521002 = 19245454462228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380049 + ... + 2381351.

It is an arithmetic number, because the mean of its divisors is an integer number (56593600).

Almost surely, 23102052100 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 3102052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074739200).

3102052100 is an abundant number, since it is smaller than the sum of its proper divisors (5047426300).

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

3102052100 is a wasteful number, since it uses less digits than its factorization.

3102052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3102052100 is about 55696.0689815718. The cubic root of 3102052100 is about 1458.4214031892.

Adding to 3102052100 its reverse (12502013), we get a palindrome (3114554113).

The spelling of 3102052100 in words is "three billion, one hundred two million, fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 179 190 266 350 358 380 475 532 665 700 716 895 950 1253 1303 1330 1790 1900 2506 2606 2660 3325 3401 3580 4475 5012 5212 6265 6515 6650 6802 8950 9121 12530 13030 13300 13604 17005 17900 18242 23807 24757 25060 26060 31325 32575 34010 36484 45605 47614 49514 62650 65150 68020 85025 91210 95228 99028 119035 123785 125300 130300 170050 173299 182420 228025 233237 238070 247570 340100 346598 456050 466474 476140 495140 595175 618925 693196 866495 912100 932948 1166185 1190350 1237850 1632659 1732990 2332370 2380700 2475700 3265318 3465980 4332475 4431503 4664740 5830925 6530636 8163295 8664950 8863006 11661850 16326590 17329900 17726012 22157515 23323700 31020521 32653180 40816475 44315030 62041042 81632950 88630060 110787575 124082084 155102605 163265900 221575150 310205210 443150300 620410420 775513025 1551026050 3102052100