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5112536100 = 2235274615281
BaseRepresentation
bin1001100001011101…
…10001110000100100
3111012022010202001220
410300232301300210
540432302123400
62203151220340
7240456561030
oct46056616044
914168122056
105112536100
112193991051
12ba82176b0
136362713b9
14366dd71c0
151edc857a0
hex130bb1c24

5112536100 has 144 divisors (see below), whose sum is σ = 16945332096. Its totient is φ = 1165824000.

The previous prime is 5112536057. The next prime is 5112536101. The reversal of 5112536100 is 16352115.

It is a super-2 number, since 2×51125361002 = 52276050747606420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5112536101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965460 + ... + 970740.

Almost surely, 25112536100 is an apocalyptic number.

5112536100 is a gapful number since it is divisible by the number (50) 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 5112536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472666048).

5112536100 is an abundant number, since it is smaller than the sum of its proper divisors (11832795996).

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

5112536100 is a wasteful number, since it uses less digits than its factorization.

5112536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5112536100 is about 71502.0006713099. Note that the first 3 decimals coincide. The cubic root of 5112536100 is about 1722.7098194514.

Adding to 5112536100 its reverse (16352115), we get a palindrome (5128888215).

The spelling of 5112536100 in words is "five billion, one hundred twelve million, five hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 461 525 700 922 1050 1383 1844 2100 2305 2766 3227 4610 5281 5532 6454 6915 9220 9681 10562 11525 12908 13830 15843 16135 19362 21124 23050 26405 27660 31686 32270 34575 36967 38724 46100 48405 52810 63372 64540 69150 73934 79215 80675 96810 105620 110901 132025 138300 147868 158430 161350 184835 193620 221802 242025 264050 316860 322700 369670 396075 443604 484050 528100 554505 739340 792150 924175 968100 1109010 1584300 1848350 2218020 2434541 2772525 3696700 4869082 5545050 7303623 9738164 11090100 12172705 14607246 17041787 24345410 29214492 34083574 36518115 48690820 51125361 60863525 68167148 73036230 85208935 102250722 121727050 146072460 170417870 182590575 204501444 243454100 255626805 340835740 365181150 426044675 511253610 730362300 852089350 1022507220 1278134025 1704178700 2556268050 5112536100