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211131426 = 231129472347
BaseRepresentation
bin11001001010110…
…01110000100010
3112201021120212110
430211121300202
5413022201201
632541140150
75142405342
oct1445316042
9481246773
10211131426
11a91a6190
125a85a656
1334983b4c
142007cd22
15138076d6
hexc959c22

211131426 has 64 divisors (see below), whose sum is σ = 486881280. Its totient is φ = 60432960.

The previous prime is 211131413. The next prime is 211131451. The reversal of 211131426 is 624131112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88785 + ... + 91131.

It is an arithmetic number, because the mean of its divisors is an integer number (7607520).

Almost surely, 2211131426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211131426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243440640).

211131426 is an abundant number, since it is smaller than the sum of its proper divisors (275749854).

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

211131426 is a wasteful number, since it uses less digits than its factorization.

211131426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439.

The product of its digits is 288, while the sum is 21.

The square root of 211131426 is about 14530.3622115899. The cubic root of 211131426 is about 595.4577613309.

Adding to 211131426 its reverse (624131112), we get a palindrome (835262538).

The spelling of 211131426 in words is "two hundred eleven million, one hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 47 58 66 87 94 141 174 282 319 517 638 957 1034 1363 1551 1914 2347 2726 3102 4089 4694 7041 8178 14082 14993 25817 29986 44979 51634 68063 77451 89958 110309 136126 154902 204189 220618 330927 408378 661854 748693 1213399 1497386 2246079 2426798 3198961 3640197 4492158 6397922 7280394 9596883 19193766 35188571 70377142 105565713 211131426