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211012221123 = 331129103237857
BaseRepresentation
bin1100010010000101001…
…1101111100011000011
3202011122210201110222000
43010201103233203003
511424123112033443
6240534312115043
721150036166644
oct3044123574303
9664583643860
10211012221123
11815429969a0
1234a8b695a83
1316b8a935352
14a2da8536cb
1557501298d3
hex31214ef8c3

211012221123 has 64 divisors (see below), whose sum is σ = 356216140800. Its totient is φ = 122277012480.

The previous prime is 211012221103. The next prime is 211012221143. The reversal of 211012221123 is 321122210112.

It is an interprime number because it is at equal distance from previous prime (211012221103) and next prime (211012221143).

It is not a de Polignac number, because 211012221123 - 26 = 211012221059 is a prime.

It is a super-2 number, since 2×2110122211232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211012221096 and 211012221105.

It is not an unprimeable number, because it can be changed into a prime (211012221103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768211 + ... + 1006067.

It is an arithmetic number, because the mean of its divisors is an integer number (5565877200).

Almost surely, 2211012221123 is an apocalyptic number.

211012221123 is a deficient number, since it is larger than the sum of its proper divisors (145203919677).

211012221123 is a wasteful number, since it uses less digits than its factorization.

211012221123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238009 (or 238003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211012221123 its reverse (321122210112), we get a palindrome (532134431235).

The spelling of 211012221123 in words is "two hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 29 33 87 99 103 261 297 309 319 783 927 957 1133 2781 2871 2987 3399 8613 8961 10197 26883 30591 32857 80649 98571 237857 295713 713571 887139 2140713 2616427 6422139 6897853 7849281 20693559 23547843 24499271 62080677 70643529 73497813 75876383 186242031 220493439 227629149 269491981 661480317 682887447 710478859 808475943 2048662341 2131436577 2425427829 6394309731 7276283487 7815267449 19182929193 23445802347 70337407041 211012221123