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211213312131332 = 2271272632858713
BaseRepresentation
bin110000000001100011101110…
…011100010000000100000100
31000200211210110212200202112102
4300001203232130100010010
5210141004330401200312
62025114020040211232
762326441525636520
oct6001435634200404
91020753425622472
10211213312131332
1161332076418795
121b83267aa69b18
1390b143995b594
143a22ac9256d80
151964222727ec2
hexc018ee710104

211213312131332 has 72 divisors (see below), whose sum is σ = 427378303113216. Its totient is φ = 89465658516864.

The previous prime is 211213312131293. The next prime is 211213312131373. The reversal of 211213312131332 is 233131213312112.

It is a super-2 number, since 2×2112133121313322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213312131295 and 211213312131304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245535608 + ... + 246394320.

Almost surely, 2211213312131332 is an apocalyptic number.

It is an amenable number.

211213312131332 is an abundant number, since it is smaller than the sum of its proper divisors (216164990981884).

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

211213312131332 is a wasteful number, since it uses less digits than its factorization.

211213312131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859377 (or 859112 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

Adding to 211213312131332 its reverse (233131213312112), we get a palindrome (444344525443444).

The spelling of 211213312131332 in words is "two hundred eleven trillion, two hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 127 254 263 508 526 889 1052 1778 1841 3556 3682 7364 33401 66802 69169 133604 138338 233807 276676 467614 484183 858713 935228 968366 1717426 1936732 3434852 6010991 8784463 12021982 17568926 24043964 35137852 61491241 109056551 122982482 218113102 225841519 245964964 436226204 451683038 763395857 903366076 1526791714 1580890633 3053583428 3161781266 6323562532 28681872913 57363745826 59396319497 114727491652 118792638994 200773110391 237585277988 401546220782 415774236479 803092441564 831548472958 1663096945916 7543332576119 15086665152238 30173330304476 52803328032833 105606656065666 211213312131332