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110212001111121 = 37132372843295219
BaseRepresentation
bin11001000011110010111011…
…001011010001110001010001
3112110020011102212001002010120
4121003302323023101301101
5103421203134241023441
61030222405551220453
732133361062315660
oct3103627313216121
9473204385032116
10110212001111121
1132131713451848
121043b9a8217729
134965c40a53b00
141d30409c4cdd7
15cb1d01576966
hex643cbb2d1c51

110212001111121 has 96 divisors (see below), whose sum is σ = 186835772759040. Its totient is φ = 56542531997952.

The previous prime is 110212001111101. The next prime is 110212001111137. The reversal of 110212001111121 is 121111100212011.

It is not a de Polignac number, because 110212001111121 - 222 = 110211996916817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110212001111121.

It is not an unprimeable number, because it can be changed into a prime (110212001111101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 373175250 + ... + 373470468.

It is an arithmetic number, because the mean of its divisors is an integer number (1946205966240).

Almost surely, 2110212001111121 is an apocalyptic number.

It is an amenable number.

110212001111121 is a deficient number, since it is larger than the sum of its proper divisors (76623771647919).

110212001111121 is a wasteful number, since it uses less digits than its factorization.

110212001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298135 (or 298122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110212001111121 its reverse (121111100212011), we get a palindrome (231323101323132).

The spelling of 110212001111121 in words is "one hundred ten trillion, two hundred twelve billion, one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 37 39 91 111 169 259 273 481 507 777 1183 1443 2843 3367 3549 6253 8529 10101 18759 19901 36959 43771 59703 105191 110877 131313 258713 295219 315573 480467 736337 776139 885657 1367483 1441401 2066533 2209011 3363269 3837847 4102449 6199599 9572381 10089807 10923103 11513541 17777279 26864929 28717143 32769309 49892011 53331837 76461721 80594787 124440953 142000339 149676033 229385163 349244077 373322859 426001017 839307617 994002373 1047732231 1846004407 2517922851 2982007119 5538013221 5875153319 10910999021 12922030849 17625459957 31054381829 32732997063 38766092547 76376993147 93163145487 141842987273 217380672803 229130979441 403706963777 425528961819 652142018409 992900910911 1211120891331 2825948746439 2978702732733 5248190529101 8477846239317 15744571587303 36737333703707 110212001111121