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3135200000 = 28553919
BaseRepresentation
bin1011101011011111…
…0101101100000000
322002111102122212112
42322313311230000
522410102400000
61235034114452
7140456521532
oct27267655400
98074378775
103135200000
111369814189
12735b7ba28
133ac700b3a
1421a55b852
1513539d235
hexbadf5b00

3135200000 has 108 divisors (see below), whose sum is σ = 7824186720. Its totient is φ = 1253760000.

The previous prime is 3135199979. The next prime is 3135200009. The reversal of 3135200000 is 25313.

It is not an unprimeable number, because it can be changed into a prime (3135200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798041 + ... + 801959.

Almost surely, 23135200000 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 3135200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912093360).

3135200000 is an abundant number, since it is smaller than the sum of its proper divisors (4688986720).

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

3135200000 is an frugal number, since it uses more digits than its factorization.

3135200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3135200000 is about 55992.8566872597. The cubic root of 3135200000 is about 1463.5978072432.

Adding to 3135200000 its reverse (25313), we get a palindrome (3135225313).

The spelling of 3135200000 in words is "three billion, one hundred thirty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 3919 4000 5000 6250 6400 7838 8000 10000 12500 15676 16000 19595 20000 25000 31352 32000 39190 40000 50000 62704 78380 80000 97975 100000 125408 156760 160000 195950 200000 250816 313520 391900 400000 489875 501632 627040 783800 800000 979750 1003264 1254080 1567600 1959500 2449375 2508160 3135200 3919000 4898750 5016320 6270400 7838000 9797500 12246875 12540800 15676000 19595000 24493750 25081600 31352000 39190000 48987500 62704000 78380000 97975000 125408000 156760000 195950000 313520000 391900000 627040000 783800000 1567600000 3135200000