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111001242100111 = 1129710121039001
BaseRepresentation
bin11001001111010001111101…
…100110101110000110001111
3112120000121121102012102121221
4121033101331212232012033
5104022121020434200421
61032025133332504211
732244401154116656
oct3117217546560617
9476017542172557
10111001242100111
11324063a9407300
121054894b47b067
1349c24ab9b1b7c
141d5a6bb31619d
15cc75e502d841
hex64f47d9ae18f

111001242100111 has 72 divisors (see below), whose sum is σ = 125722718846816. Its totient is φ = 97910208000000.

The previous prime is 111001242100109. The next prime is 111001242100117.

It is a happy number.

111001242100111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111001242100111 - 21 = 111001242100109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001242100117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12332096611 + ... + 12332105611.

Almost surely, 2111001242100111 is an apocalyptic number.

111001242100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111001242100111 is a deficient number, since it is larger than the sum of its proper divisors (14721476746705).

111001242100111 is a wasteful number, since it uses less digits than its factorization.

111001242100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9313 counting only the distinct ones).

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

The spelling of 111001242100111 in words is "one hundred eleven trillion, one billion, two hundred forty-two million, one hundred thousand, one hundred eleven".

Divisors: 1 11 97 101 103 121 1067 1111 1133 9001 9797 9991 10201 10403 11737 12221 12463 99011 107767 109901 112211 114433 873097 909101 927103 989497 1009091 1050703 1089121 1185437 1208911 1234321 1258763 9604067 10000111 10198133 10884467 11100001 11557733 88182797 89928991 91819201 93637403 101918191 105644737 110001221 112179463 119729137 122100011 127135063 970010767 989218901 1010011211 1030011433 1121100101 8906462497 9082828091 9457377703 10670118437 10881407911 11110123321 11330125763 12332101111 97971087467 99911109001 104031154733 917365637191 1077681962137 1099022199011 1144342702063 10091022009101 111001242100111