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211238134842 = 23731353459607
BaseRepresentation
bin1100010010111011000…
…1100010010000111010
3202012020112211002022210
43010232301202100322
511430103430303332
6241012542155550
721155451343350
oct3045661422072
9665215732283
10211238134842
1181649469249
1234b33282bb6
1316bc56936c7
14a31c85d7d0
155764da1ecc
hex312ec6243a

211238134842 has 64 divisors (see below), whose sum is σ = 499818184704. Its totient is φ = 58241272320.

The previous prime is 211238134841. The next prime is 211238134853. The reversal of 211238134842 is 248431832112.

It is a happy number.

It is a super-2 number, since 2×2112381348422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211238134842.

It is not an unprimeable number, because it can be changed into a prime (211238134841) 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 31 ways as a sum of consecutive naturals, for example, 229803 + ... + 689409.

It is an arithmetic number, because the mean of its divisors is an integer number (7809659136).

Almost surely, 2211238134842 is an apocalyptic number.

It is a pronic number, being equal to 459606×459607.

It is a practical number, because each smaller number is the sum of distinct divisors of 211238134842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249909092352).

211238134842 is an abundant number, since it is smaller than the sum of its proper divisors (288580049862).

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

211238134842 is a wasteful number, since it uses less digits than its factorization.

211238134842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460003.

The product of its digits is 73728, while the sum is 39.

Adding to 211238134842 its reverse (248431832112), we get a palindrome (459669966954).

The spelling of 211238134842 in words is "two hundred eleven billion, two hundred thirty-eight million, one hundred thirty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 353 434 651 706 1059 1302 2118 2471 4942 7413 10943 14826 21886 32829 65658 76601 153202 229803 459606 459607 919214 1378821 2757642 3217249 6434498 9651747 14247817 19303494 28495634 42743451 85486902 99734719 162241271 199469438 299204157 324482542 486723813 598408314 973447626 1135688897 2271377794 3407066691 5029479401 6814133382 10058958802 15088438203 30176876406 35206355807 70412711614 105619067421 211238134842