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4001201300 = 2252149268537
BaseRepresentation
bin1110111001111101…
…0111110010010100
3101022211222002022202
43232133113302110
531143301420200
61501011344032
7201103435625
oct35637276224
911284862282
104001201300
111773634838
12937bb2018
134b9c52445
1429d587a4c
151864111d5
hexee7d7c94

4001201300 has 36 divisors (see below), whose sum is σ = 8740911900. Its totient is φ = 1589733120.

The previous prime is 4001201297. The next prime is 4001201327. The reversal of 4001201300 is 31021004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1298449156 + 2702752144 = 36034^2 + 51988^2 .

It is a super-2 number, since 2×40012013002 = 32019223686243380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119369 + ... + 149168.

Almost surely, 24001201300 is an apocalyptic number.

It is an amenable number.

4001201300 is an abundant number, since it is smaller than the sum of its proper divisors (4739710600).

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

4001201300 is a wasteful number, since it uses less digits than its factorization.

4001201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268700 (or 268693 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4001201300 is about 63255.0496008026. The cubic root of 4001201300 is about 1587.5599481361.

Adding to 4001201300 its reverse (31021004), we get a palindrome (4032222304).

The spelling of 4001201300 in words is "four billion, one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 268537 537074 1074148 1342685 2685370 5370740 6713425 13426850 26853700 40012013 80024026 160048052 200060065 400120130 800240260 1000300325 2000600650 4001201300