Search a number
-
+
20401114214141 is a prime number
BaseRepresentation
bin1001010001110000000010…
…01010100110111011111101
32200020022211201121211002222
410220320001022212323331
510133222440214323031
6111220050435455125
74203634425416423
oct450700112467375
980208751554088
1020401114214141
116556078132a71
122355a57a574a5
13b4ca8070b78b
145075c23bd113
15255a2e4c1e7b
hex128e012a6efd

20401114214141 has 2 divisors, whose sum is σ = 20401114214142. Its totient is φ = 20401114214140.

The previous prime is 20401114214029. The next prime is 20401114214179. The reversal of 20401114214141 is 14141241110402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20399946556900 + 1167657241 = 4516630^2 + 34171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20401114214141 is a prime.

It is a super-2 number, since 2×204011142141412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20401114214141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20401114214191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10200557107070 + 10200557107071.

It is an arithmetic number, because the mean of its divisors is an integer number (10200557107071).

Almost surely, 220401114214141 is an apocalyptic number.

It is an amenable number.

20401114214141 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401114214141 is an equidigital number, since it uses as much as digits as its factorization.

20401114214141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 20401114214141 its reverse (14141241110402), we get a palindrome (34542355324543).

The spelling of 20401114214141 in words is "twenty trillion, four hundred one billion, one hundred fourteen million, two hundred fourteen thousand, one hundred forty-one".