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1221110031 = 31979271177
BaseRepresentation
bin100100011001000…
…1010100100001111
310011002201211001110
41020302022210033
510000101010111
6321100343103
742155156361
oct11062124417
93132654043
101221110031
11577315049
122a0b44a93
13165ca5c1b
14b8266d31
157230a5a6
hex48c8a90f

1221110031 has 16 divisors (see below), whose sum is σ = 1735539200. Its totient is φ = 761462208.

The previous prime is 1221109973. The next prime is 1221110071. The reversal of 1221110031 is 1300111221.

It is not a de Polignac number, because 1221110031 - 211 = 1221107983 is a prime.

It is a super-2 number, since 2×12211100312 = 2982219415617641922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221109989 and 1221110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131086 + ... + 140091.

It is an arithmetic number, because the mean of its divisors is an integer number (108471200).

Almost surely, 21221110031 is an apocalyptic number.

1221110031 is a deficient number, since it is larger than the sum of its proper divisors (514429169).

1221110031 is a wasteful number, since it uses less digits than its factorization.

1221110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271278.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1221110031 is about 34944.3848278947. The cubic root of 1221110031 is about 1068.8537032574.

Adding to 1221110031 its reverse (1300111221), we get a palindrome (2521221252).

The spelling of 1221110031 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, thirty-one".

Divisors: 1 3 19 57 79 237 1501 4503 271177 813531 5152363 15457089 21422983 64268949 407036677 1221110031