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211211331312 = 24331141943099
BaseRepresentation
bin1100010010110100101…
…1010010011011110000
3202012011200101022210110
43010231023102123300
511430030100100222
6241010143501320
721155004460062
oct3045513223360
9665150338713
10211211331312
1181635321373
1234b262b7840
1316bbcc6a627
14a319083732
15576285a30c
hex312d2d26f0

211211331312 has 40 divisors (see below), whose sum is σ = 563230220800. Its totient is φ = 68132687040.

The previous prime is 211211331277. The next prime is 211211331347. The reversal of 211211331312 is 213133112112.

It is an interprime number because it is at equal distance from previous prime (211211331277) and next prime (211211331347).

It is a super-2 number, since 2×2112113313122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70970062 + ... + 70973037.

It is an arithmetic number, because the mean of its divisors is an integer number (14080755520).

Almost surely, 2211211331312 is an apocalyptic number.

It is an amenable number.

211211331312 is an abundant number, since it is smaller than the sum of its proper divisors (352018889488).

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

211211331312 is a wasteful number, since it uses less digits than its factorization.

211211331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141943141 (or 141943135 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 211211331312 its reverse (213133112112), we get a palindrome (424344443424).

The spelling of 211211331312 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 141943099 283886198 425829297 567772396 851658594 1135544792 1703317188 2271089584 3406634376 4400236069 6813268752 8800472138 13200708207 17600944276 26401416414 35201888552 52802832828 70403777104 105605665656 211211331312