Search a number
-
+
122011541 is a prime number
BaseRepresentation
bin1110100010110…
…11111110010101
322111120211100222
413101123332111
5222213332131
620035044125
73011036531
oct721337625
9274524328
10122011541
1162966093
1234a40645
131c37c6a2
14122c0bc1
15aaa187b
hex745bf95

122011541 has 2 divisors, whose sum is σ = 122011542. Its totient is φ = 122011540.

The previous prime is 122011507. The next prime is 122011579. The reversal of 122011541 is 145110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117722500 + 4289041 = 10850^2 + 2071^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011541 - 222 = 117817237 is a prime.

It is a super-2 number, since 2×1220115412 = 29773632274389362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122010541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005770 + 61005771.

It is an arithmetic number, because the mean of its divisors is an integer number (61005771).

Almost surely, 2122011541 is an apocalyptic number.

It is an amenable number.

122011541 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011541 is an equidigital number, since it uses as much as digits as its factorization.

122011541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 122011541 is about 11045.8834413550. The cubic root of 122011541 is about 495.9832051307.

Adding to 122011541 its reverse (145110221), we get a palindrome (267121762).

The spelling of 122011541 in words is "one hundred twenty-two million, eleven thousand, five hundred forty-one".