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1122012102211 = 711213313287071
BaseRepresentation
bin10000010100111101001…
…000011111111001000011
310222021002221201102022121
4100110331020133321003
5121340340044232321
62215240101145111
7144030335336440
oct20247510377103
93867087642277
101122012102211
113a292a643200
121615536bb197
1381a612a6920
143c43cab89c7
151e2bd1c0441
hex1053d21fe43

1122012102211 has 48 divisors (see below), whose sum is σ = 1566855184384. Its totient is φ = 781007832000.

The previous prime is 1122012102179. The next prime is 1122012102227.

1122012102211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1122012102211 - 25 = 1122012102179 is a prime.

It is a super-2 number, since 2×11220121022112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122012105211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302195 + ... + 1984876.

Almost surely, 21122012102211 is an apocalyptic number.

1122012102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122012102211 is a deficient number, since it is larger than the sum of its proper divisors (444843082173).

1122012102211 is a wasteful number, since it uses less digits than its factorization.

1122012102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287144 (or 3287133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 1122012102211 in words is "one trillion, one hundred twenty-two billion, twelve million, one hundred two thousand, two hundred eleven".

Divisors: 1 7 11 13 31 77 91 121 143 217 341 403 847 1001 1573 2387 2821 3751 4433 11011 26257 31031 48763 341341 3287071 23009497 36157781 42731923 101899201 253104467 299123461 397735591 470051153 713294407 1120891211 1324689613 2784149137 3290358071 5170562683 7846238477 9272827291 12329803321 14571585743 36193938781 86308623247 102001100201 160287443173 1122012102211