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401312212 = 227371312957
BaseRepresentation
bin10111111010111…
…000100111010100
31000222010202212021
4113322320213110
51310213442322
6103453302524
712642045310
oct2772704724
91028122767
10401312212
11196591894
12b2494a44
13651b0962
143b426b40
15253724c7
hex17eb89d4

401312212 has 48 divisors (see below), whose sum is σ = 830890368. Its totient is φ = 166008960.

The previous prime is 401312209. The next prime is 401312213. The reversal of 401312212 is 212213104.

It is a super-2 number, since 2×4013122122 = 322102983000665888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401312213) 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 15 ways as a sum of consecutive naturals, for example, 134238 + ... + 137194.

It is an arithmetic number, because the mean of its divisors is an integer number (17310216).

Almost surely, 2401312212 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 401312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415445184).

401312212 is an abundant number, since it is smaller than the sum of its proper divisors (429578156).

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

401312212 is a wasteful number, since it uses less digits than its factorization.

401312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 401312212 is about 20032.7784393478. The cubic root of 401312212 is about 737.6111253406.

Adding to 401312212 its reverse (212213104), we get a palindrome (613525316).

The spelling of 401312212 in words is "four hundred one million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 37 74 131 148 259 262 518 524 917 1036 1834 2957 3668 4847 5914 9694 11828 19388 20699 33929 41398 67858 82796 109409 135716 218818 387367 437636 765863 774734 1531726 1549468 2711569 3063452 5423138 10846276 14332579 28665158 57330316 100328053 200656106 401312212