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211240213312 = 267165371191
BaseRepresentation
bin1100010010111011100…
…1011101101101000000
3202012020200201200110011
43010232321131231000
511430104443311222
6241013054514304
721155505121132
oct3045671355500
9665220650404
10211240213312
118164a658897
1234b33b05994
1316bc5c4077b
14a31cc41052
155765162c77
hex312ee5db40

211240213312 has 56 divisors (see below), whose sum is σ = 425740689792. Its totient is φ = 103971571200.

The previous prime is 211240213309. The next prime is 211240213357. The reversal of 211240213312 is 213312042112.

211240213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2931637 + ... + 3002827.

Almost surely, 2211240213312 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 211240213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212870344896).

211240213312 is an abundant number, since it is smaller than the sum of its proper divisors (214500476480).

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

211240213312 is an equidigital number, since it uses as much as digits as its factorization.

211240213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71927 (or 71917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211240213312 its reverse (213312042112), we get a palindrome (424552255424).

The spelling of 211240213312 in words is "two hundred eleven billion, two hundred forty million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 653 1136 1306 2272 2612 4544 5224 10448 20896 41792 46363 71191 92726 142382 185452 284764 370904 569528 741808 1139056 1483616 2278112 2967232 4556224 5054561 10109122 20218244 40436488 46487723 80872976 92975446 161745952 185950892 323491904 371901784 743803568 1487607136 2975214272 3300628333 6601256666 13202513332 26405026664 52810053328 105620106656 211240213312