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211121012011 = 71343181298087
BaseRepresentation
bin1100010010011111001…
…0101111110100101011
3202011221101102122000011
43010213302233310223
511424333434341021
6240553155552351
721152526664360
oct3044762576453
9664841378004
10211121012011
1181599342118
1234abbbbb6b7
1316ba7336260
14a30b092467
155759968de1
hex3127cafd2b

211121012011 has 32 divisors (see below), whose sum is σ = 267353934848. Its totient is φ = 162254171520.

The previous prime is 211121011951. The next prime is 211121012023. The reversal of 211121012011 is 110210121112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-211121012011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211121011982 and 211121012000.

It is not an unprimeable number, because it can be changed into a prime (211121012111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559210 + ... + 857296.

It is an arithmetic number, because the mean of its divisors is an integer number (8354810464).

Almost surely, 2211121012011 is an apocalyptic number.

211121012011 is a deficient number, since it is larger than the sum of its proper divisors (56232922837).

211121012011 is a wasteful number, since it uses less digits than its factorization.

211121012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298331.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121012011 its reverse (110210121112), we get a palindrome (321331133123).

The spelling of 211121012011 in words is "two hundred eleven billion, one hundred twenty-one million, twelve thousand, eleven".

Divisors: 1 7 13 43 91 181 301 559 1267 2353 3913 7783 16471 54481 101179 298087 708253 2086609 3875131 12817741 27125917 53953747 89724187 166630633 377676229 701398711 1166414431 2320011121 4909790977 16240077847 30160144573 211121012011