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1001211122223 = 321325312419971
BaseRepresentation
bin11101001000111001101…
…01010101001000101111
310112201022010100210211200
432210130311111020233
5112400440021402343
62043541113020543
7132222642056424
oct16443465251057
93481263323750
101001211122223
1135667a638a54
1214205b6b4753
137354c185600
143665d22dd4b
151b09cc4c4d3
hexe91cd5522f

1001211122223 has 36 divisors (see below), whose sum is σ = 1595544122952. Its totient is φ = 604504779840.

The previous prime is 1001211122221. The next prime is 1001211122231. The reversal of 1001211122223 is 3222211121001.

It is not a de Polignac number, because 1001211122223 - 21 = 1001211122221 is a prime.

It is a super-5 number, since 5×10012111222235 (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1001211122196 and 1001211122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211122221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6129373 + ... + 6290598.

It is an arithmetic number, because the mean of its divisors is an integer number (44320670082).

Almost surely, 21001211122223 is an apocalyptic number.

1001211122223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001211122223 is a deficient number, since it is larger than the sum of its proper divisors (594333000729).

1001211122223 is a wasteful number, since it uses less digits than its factorization.

1001211122223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420056 (or 12420040 counting only the distinct ones).

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

Adding to 1001211122223 its reverse (3222211121001), we get a palindrome (4223422243224).

The spelling of 1001211122223 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 9 13 39 53 117 159 169 477 507 689 1521 2067 6201 8957 26871 80613 12419971 37259913 111779739 161459623 484378869 658258463 1453136607 1974775389 2098975099 5924326167 6296925297 8557360019 18890775891 25672080057 77016240171 111245680247 333737040741 1001211122223