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1211120113 = 72151191857
BaseRepresentation
bin100100000110000…
…0011100111110001
310010101221021110111
41020030003213301
54440021320423
6320102301321
742004231300
oct11014034761
93111837414
101211120113
11571711515
12299727841
13163bb8b28
14b6bc6437
15714d560d
hex483039f1

1211120113 has 24 divisors (see below), whose sum is σ = 1427272704. Its totient is φ = 1024632000.

The previous prime is 1211120093. The next prime is 1211120123. The reversal of 1211120113 is 3110211121.

It is a happy number.

It is not a de Polignac number, because 1211120113 - 217 = 1210989041 is a prime.

It is a super-2 number, since 2×12111201132 = 2933623856226265538, 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 = 1211120093 and 1211120102.

It is not an unprimeable number, because it can be changed into a prime (1211120123) 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 23 ways as a sum of consecutive naturals, for example, 1412781 + ... + 1413637.

It is an arithmetic number, because the mean of its divisors is an integer number (59469696).

Almost surely, 21211120113 is an apocalyptic number.

It is an amenable number.

1211120113 is a deficient number, since it is larger than the sum of its proper divisors (216152591).

1211120113 is a wasteful number, since it uses less digits than its factorization.

1211120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1211120113 is about 34801.1510298151. The cubic root of 1211120113 is about 1065.9309493833.

Adding to 1211120113 its reverse (3110211121), we get a palindrome (4321331234).

The spelling of 1211120113 in words is "one billion, two hundred eleven million, one hundred twenty thousand, one hundred thirteen".

Divisors: 1 7 49 151 191 857 1057 1337 5999 7399 9359 28841 41993 129407 163687 201887 905849 1145809 1413209 6340943 8020663 24716737 173017159 1211120113