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1122111221 = 72112299091
BaseRepresentation
bin100001011100010…
…0000111011110101
32220012110011012212
41002320200323311
54244230024341
6303202423205
736543534200
oct10270407365
92805404185
101122111221
11526447850
12273961b05
1314b62304a
14a9056937
15687a25eb
hex42e20ef5

1122111221 has 24 divisors (see below), whose sum is σ = 1430353440. Its totient is φ = 870458400.

The previous prime is 1122111209. The next prime is 1122111233. The reversal of 1122111221 is 1221112211.

It is an interprime number because it is at equal distance from previous prime (1122111209) and next prime (1122111233).

It is not a de Polignac number, because 1122111221 - 226 = 1055002357 is a prime.

It is a super-2 number, since 2×11221112212 = 2518267184588221682, 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 = 1122111196 and 1122111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122111271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118886 + ... + 127976.

It is an arithmetic number, because the mean of its divisors is an integer number (59598060).

Almost surely, 21122111221 is an apocalyptic number.

1122111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122111221 is a deficient number, since it is larger than the sum of its proper divisors (308242219).

1122111221 is a wasteful number, since it uses less digits than its factorization.

1122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9338 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 1122111221 is about 33497.9286076020. The cubic root of 1122111221 is about 1039.1509407048.

Adding to 1122111221 its reverse (1221112211), we get a palindrome (2343223432).

The spelling of 1122111221 in words is "one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 49 77 229 539 1603 2519 9091 11221 17633 63637 100001 123431 445459 700007 2081839 4900049 14572873 22900229 102010111 160301603 1122111221