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315128900 = 22523898101
BaseRepresentation
bin10010110010000…
…111110001000100
3210221222012120202
4102302013301010
51121133111100
651134150032
710544360102
oct2262076104
9727865522
10315128900
11151978009
1289652318
1350397008
142dbd0c72
151c9eb7d5
hex12c87c44

315128900 has 36 divisors (see below), whose sum is σ = 685672260. Its totient is φ = 125712000.

The previous prime is 315128899. The next prime is 315128903. The reversal of 315128900 is 9821513.

It can be written as a sum of positive squares in 6 ways, for example, as 3182656 + 311946244 = 1784^2 + 17662^2 .

It is not an unprimeable number, because it can be changed into a prime (315128903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34850 + ... + 42950.

Almost surely, 2315128900 is an apocalyptic number.

It is an amenable number.

315128900 is an abundant number, since it is smaller than the sum of its proper divisors (370543360).

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

315128900 is a wasteful number, since it uses less digits than its factorization.

315128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 315128900 is about 17751.8703239968. The cubic root of 315128900 is about 680.5020081953.

The spelling of 315128900 in words is "three hundred fifteen million, one hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 389 778 1556 1945 3890 7780 8101 9725 16202 19450 32404 38900 40505 81010 162020 202525 405050 810100 3151289 6302578 12605156 15756445 31512890 63025780 78782225 157564450 315128900