Search a number
-
+
412001000022 = 235310112827729
BaseRepresentation
bin1011111111011010010…
…11000101101001010110
31110101110001120100010010
411333231023011221112
523222234224000042
6513134243141050
741523524501163
oct5775513055126
91411401510103
10412001000022
11149801907337
1267a22374786
132cb0ba630a1
1415d25da106a
15aab52b559c
hex5fed2c5a56

412001000022 has 32 divisors (see below), whose sum is σ = 847861642080. Its totient is φ = 133408371200.

The previous prime is 412000999937. The next prime is 412001000029. The reversal of 412001000022 is 220000100214.

It is a super-3 number, since 3×4120010000223 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412000999971 and 412001000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412001000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6381747 + ... + 6445982.

It is an arithmetic number, because the mean of its divisors is an integer number (26495676315).

Almost surely, 2412001000022 is an apocalyptic number.

412001000022 is an abundant number, since it is smaller than the sum of its proper divisors (435860642058).

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

412001000022 is a wasteful number, since it uses less digits than its factorization.

412001000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827888.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 412001000022 its reverse (220000100214), we get a palindrome (632001100236).

The spelling of 412001000022 in words is "four hundred twelve billion, one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 53 101 106 159 202 303 318 606 5353 10706 16059 32118 12827729 25655458 38483187 76966374 679869637 1295600629 1359739274 2039608911 2591201258 3886801887 4079217822 7773603774 68666833337 137333666674 206000500011 412001000022