Search a number
-
+
20355306510141 = 323761127046577
BaseRepresentation
bin1001010000011010101101…
…10100000101011100111101
32200001221121022100100110100
410220031112310011130331
510132000131431311031
6111143033153431313
74200423320360121
oct450152664053475
980057538310410
1020355306510141
116538700954a59
122348bb2b6b539
13b4866037ac95
145052b877b581
1525474cbd8de6
hex128356d0573d

20355306510141 has 12 divisors (see below), whose sum is σ = 30196761009532. Its totient is φ = 13203442060416.

The previous prime is 20355306510137. The next prime is 20355306510151. The reversal of 20355306510141 is 14101560355302.

20355306510141 is a `hidden beast` number, since 2 + 0 + 3 + 553 + 0 + 65 + 1 + 0 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17534771002116 + 2820535508025 = 4187454^2 + 1679445^2 .

It is not a de Polignac number, because 20355306510141 - 22 = 20355306510137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20355306510096 and 20355306510105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355306510101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30563522956 + ... + 30563523621.

Almost surely, 220355306510141 is an apocalyptic number.

It is an amenable number.

20355306510141 is a deficient number, since it is larger than the sum of its proper divisors (9841454499391).

20355306510141 is a wasteful number, since it uses less digits than its factorization.

20355306510141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61127046620 (or 61127046617 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 20355306510141 its reverse (14101560355302), we get a palindrome (34456866865443).

The spelling of 20355306510141 in words is "twenty trillion, three hundred fifty-five billion, three hundred six million, five hundred ten thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 61127046577 183381139731 550143419193 2261700723349 6785102170047 20355306510141