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3201413512 = 2311197732477
BaseRepresentation
bin1011111011010001…
…1011000110001000
322021010000122201211
42332310123012020
523024030213022
61245401222504
7142222365043
oct27664330610
98233018654
103201413512
1113a31293a0
12754191a34
133c034502b
14225275c5a
1513b0cbe77
hexbed1b188

3201413512 has 64 divisors (see below), whose sum is σ = 6904699200. Its totient is φ = 1376259840.

The previous prime is 3201413503. The next prime is 3201413519. The reversal of 3201413512 is 2153141023.

It is a happy number.

3201413512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3201413519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291218 + ... + 1293694.

It is an arithmetic number, because the mean of its divisors is an integer number (107885925).

Almost surely, 23201413512 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 3201413512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452349600).

3201413512 is an abundant number, since it is smaller than the sum of its proper divisors (3703285688).

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

3201413512 is a wasteful number, since it uses less digits than its factorization.

3201413512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3201413512 is about 56581.0349145365. The cubic root of 3201413512 is about 1473.8295434634.

Adding to 3201413512 its reverse (2153141023), we get a palindrome (5354554535).

The spelling of 3201413512 in words is "three billion, two hundred one million, four hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 773 836 1546 1672 2477 3092 4954 6184 8503 9908 14687 17006 19816 27247 29374 34012 47063 54494 58748 68024 94126 108988 117496 161557 188252 217976 323114 376504 517693 646228 1035386 1292456 1914721 2070772 3829442 4141544 7658884 15317768 21061931 36379699 42123862 72759398 84247724 145518796 168495448 291037592 400176689 800353378 1600706756 3201413512