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1100122221 = 311293731069
BaseRepresentation
bin100000110010010…
…1000100001101101
32211200001222222110
41001210220201231
54223112402341
6301055234233
736155612262
oct10144504155
92750058873
101100122221
11514a99120
12268518979
13146bc44c3
14a6171269
15668ac216
hex4192886d

1100122221 has 32 divisors (see below), whose sum is σ = 1700150400. Its totient is φ = 626330880.

The previous prime is 1100122217. The next prime is 1100122229. The reversal of 1100122221 is 1222210011.

It is not a de Polignac number, because 1100122221 - 22 = 1100122217 is a prime.

It is a super-2 number, since 2×11001222212 = 2420537802275945682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100122197 and 1100122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100122229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19875 + ... + 50943.

It is an arithmetic number, because the mean of its divisors is an integer number (53129700).

Almost surely, 21100122221 is an apocalyptic number.

1100122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100122221 is a deficient number, since it is larger than the sum of its proper divisors (600028179).

1100122221 is a wasteful number, since it uses less digits than its factorization.

1100122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31149.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1100122221 is about 33168.0904032777. The cubic root of 1100122221 is about 1032.3183462550.

Adding to 1100122221 its reverse (1222210011), we get a palindrome (2322332232).

It can be divided in two parts, 1100 and 122221, that added together give a palindrome (123321).

The spelling of 1100122221 in words is "one billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 29 33 37 87 111 319 407 957 1073 1221 3219 11803 31069 35409 93207 341759 901001 1025277 1149553 2703003 3448659 9911011 12645083 29733033 33337037 37935249 100011111 366707407 1100122221