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121340414106 = 23217396537301
BaseRepresentation
bin111000100000001110…
…0111100100010011010
3102121012102101200222100
41301000130330202122
53442001121222411
6131424254104230
711523633334152
oct1610034744232
9377172350870
10121340414106
114750755607a
121b6247ab076
13b599b02502
145c31387762
1532529ca456
hex1c4073c89a

121340414106 has 24 divisors (see below), whose sum is σ = 278369186004. Its totient is φ = 38067580800.

The previous prime is 121340414099. The next prime is 121340414113. The reversal of 121340414106 is 601414043121.

121340414106 is a `hidden beast` number, since 1 + 213 + 404 + 1 + 41 + 0 + 6 = 666.

121340414106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121340414099) and next prime (121340414113).

It can be written as a sum of positive squares in 2 ways, for example, as 99953984025 + 21386430081 = 316155^2 + 146241^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121340414106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198268345 + ... + 198268956.

Almost surely, 2121340414106 is an apocalyptic number.

121340414106 is an abundant number, since it is smaller than the sum of its proper divisors (157028771898).

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

121340414106 is a wasteful number, since it uses less digits than its factorization.

121340414106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396537326 (or 396537323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 121340414106 its reverse (601414043121), we get a palindrome (722754457227).

The spelling of 121340414106 in words is "one hundred twenty-one billion, three hundred forty million, four hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 396537301 793074602 1189611903 2379223806 3568835709 6741134117 7137671418 13482268234 20223402351 40446804702 60670207053 121340414106