Search a number
-
+
122106155340636 = 22323391837648351
BaseRepresentation
bin11011110000111000001110…
…000000111001001101011100
3121000100020022220121221010100
4123300320032000321031130
5112001041401231400021
61111410443211141100
734501610234201235
oct3360701600711534
9530306286557110
10122106155340636
11359a7a25430675
1211840ba8444790
13531973a7b826c
142221d8026808c
15e1b3dbe3c626
hex6f0e0e03935c

122106155340636 has 18 divisors (see below), whose sum is σ = 308657226000032. Its totient is φ = 40702051780200.

The previous prime is 122106155340623. The next prime is 122106155340643. The reversal of 122106155340636 is 636043551601221.

It is a happy number.

122106155340636 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 6 + 1 + 5 + 5 + 3 + 4 + 0 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 122106155340591 and 122106155340600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1695918824140 + ... + 1695918824211.

Almost surely, 2122106155340636 is an apocalyptic number.

It is an amenable number.

122106155340636 is an abundant number, since it is smaller than the sum of its proper divisors (186551070659396).

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

122106155340636 is a wasteful number, since it uses less digits than its factorization.

122106155340636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391837648361 (or 3391837648356 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 122106155340636 in words is "one hundred twenty-two trillion, one hundred six billion, one hundred fifty-five million, three hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3391837648351 6783675296702 10175512945053 13567350593404 20351025890106 30526538835159 40702051780212 61053077670318 122106155340636