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121001111109 = 32113868913693
BaseRepresentation
bin111000010110000111…
…0100110111001000101
3102120022202221022202200
41300230032212321011
53440302241023414
6131330453425113
711512343321454
oct1605416467105
9376282838680
10121001111109
1147352a7777a
121b54b03b199
13b5447231c8
145bdc2a2b9b
153232d06109
hex1c2c3a6e45

121001111109 has 24 divisors (see below), whose sum is σ = 176359274520. Its totient is φ = 79938496512.

The previous prime is 121001111069. The next prime is 121001111131. The reversal of 121001111109 is 901111100121.

It can be written as a sum of positive squares in 4 ways, for example, as 47044308609 + 73956802500 = 216897^2 + 271950^2 .

It is not a de Polignac number, because 121001111109 - 29 = 121001110597 is a prime.

It is a super-2 number, since 2×1210011111092 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121001111091 and 121001111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001111159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8829867 + ... + 8843559.

It is an arithmetic number, because the mean of its divisors is an integer number (7348303105).

Almost surely, 2121001111109 is an apocalyptic number.

It is an amenable number.

121001111109 is a deficient number, since it is larger than the sum of its proper divisors (55358163411).

121001111109 is a wasteful number, since it uses less digits than its factorization.

121001111109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22501 (or 22498 counting only the distinct ones).

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

The spelling of 121001111109 in words is "one hundred twenty-one billion, one million, one hundred eleven thousand, one hundred nine".

Divisors: 1 3 9 113 339 1017 8689 13693 26067 41079 78201 123237 981857 1547309 2945571 4641927 8836713 13925781 118978477 356935431 1070806293 13444567901 40333703703 121001111109