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111221110102122 = 232377310122650029
BaseRepresentation
bin11001010010011110101110…
…110000100101100001101010
3112120210122010101122012011200
4121102132232300211201222
5104034221313141231442
61032314134515105030
732266313535236046
oct3122365660454152
9476718111565150
10111221110102122
1132490676140479
12105834908a2176
134a0a14b240947
141d671b7d5d026
15ccd1b284834c
hex6527aec2586a

111221110102122 has 96 divisors (see below), whose sum is σ = 253366315984080. Its totient is φ = 35225323545600.

The previous prime is 111221110102111. The next prime is 111221110102177. The reversal of 111221110102122 is 221201011122111.

It is a happy number.

111221110102122 is a `hidden beast` number, since 111 + 221 + 110 + 10 + 212 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107999088692121 + 3222021410001 = 10392261^2 + 1794999^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111221110102095 and 111221110102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6414597 + ... + 16235432.

Almost surely, 2111221110102122 is an apocalyptic number.

111221110102122 is an abundant number, since it is smaller than the sum of its proper divisors (142145205881958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111221110102122 is a wasteful number, since it uses less digits than its factorization.

111221110102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22650248 (or 22650245 counting only the distinct ones).

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

Adding to 111221110102122 its reverse (221201011122111), we get a palindrome (332422121224233).

The spelling of 111221110102122 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred ten million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 73 74 101 111 146 202 219 222 303 333 438 606 657 666 909 1314 1818 2701 3737 5402 7373 7474 8103 11211 14746 16206 22119 22422 24309 33633 44238 48618 66357 67266 132714 272801 545602 818403 1636806 2455209 4910418 22650029 45300058 67950087 135900174 203850261 407700522 838051073 1653452117 1676102146 2287652929 2514153219 3306904234 4575305858 4960356351 5028306438 6862958787 7542459657 9920712702 13725917574 14881069053 15084919314 20588876361 29762138106 41177752722 61177728329 84643158373 122355456658 166998663817 169286316746 183533184987 253929475119 333997327634 367066369974 500995991451 507858950238 550599554961 761788425357 1001991982902 1101199109922 1502987974353 1523576850714 3005975948706 6178950561229 12357901122458 18536851683687 37073703367374 55610555051061 111221110102122