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1122211111221 = 3237103283115613
BaseRepresentation
bin10000010101001000111…
…111101010000100110101
310222021121211012010100200
4100111020333222010311
5121341242021024341
62215311530431113
7144035303025564
oct20251077520465
93867554163320
101122211111221
113a2a21a09662
121615aa292499
1381a935a4b35
143c45b2bdbdb
151e2d08d0db6
hex10548fea135

1122211111221 has 48 divisors (see below), whose sum is σ = 1686898901376. Its totient is φ = 718300130688.

The previous prime is 1122211111213. The next prime is 1122211111223. The reversal of 1122211111221 is 1221111122211.

It is a happy number.

1122211111221 is a `hidden beast` number, since 1 + 122 + 211 + 111 + 221 = 666.

It is not a de Polignac number, because 1122211111221 - 23 = 1122211111213 is a prime.

It is a super-2 number, since 2×11222111112212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122211111194 and 1122211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122211111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9648811 + ... + 9764423.

It is an arithmetic number, because the mean of its divisors is an integer number (35143727112).

Almost surely, 21122211111221 is an apocalyptic number.

It is an amenable number.

1122211111221 is a deficient number, since it is larger than the sum of its proper divisors (564687790155).

1122211111221 is a wasteful number, since it uses less digits than its factorization.

1122211111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116042 (or 116039 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1122211111221 its reverse (1221111122211), we get a palindrome (2343322233432).

The spelling of 1122211111221 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 103 111 283 309 333 849 927 2547 3811 10471 11433 29149 31413 34299 87447 94239 115613 262341 346839 1040517 1078513 3235539 4277681 9706617 11908139 12833043 32718479 35724417 38499129 98155437 107173251 294466311 440601143 1210583723 1321803429 3370003337 3631751169 3965410287 10110010011 10895253507 30330030033 124690123469 374070370407 1122211111221