Search a number
-
+
2122013220149 is a prime number
BaseRepresentation
bin11110111000010001110…
…110000001110100110101
321111212021202020122022202
4132320101312001310311
5234231340341021044
64302501151434245
7306211315522664
oct36702166016465
97455252218282
102122013220149
11748a39162009
122a3315b25985
13125149874264
14749c5332ddb
153a2e9aa7c4e
hex1ee11d81d35

2122013220149 has 2 divisors, whose sum is σ = 2122013220150. Its totient is φ = 2122013220148.

The previous prime is 2122013220049. The next prime is 2122013220179. The reversal of 2122013220149 is 9410223102212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1381024528900 + 740988691249 = 1175170^2 + 860807^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122013220149 - 228 = 2121744784693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122013220179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061006610074 + 1061006610075.

It is an arithmetic number, because the mean of its divisors is an integer number (1061006610075).

Almost surely, 22122013220149 is an apocalyptic number.

It is an amenable number.

2122013220149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122013220149 is an equidigital number, since it uses as much as digits as its factorization.

2122013220149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 2122013220149 in words is "two trillion, one hundred twenty-two billion, thirteen million, two hundred twenty thousand, one hundred forty-nine".