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122534240241 = 37192953199807
BaseRepresentation
bin111001000011110011…
…1000001111111110001
3102201021121210100120010
41302013213001333301
54001422231141431
6132142542005133
711565340566630
oct1620747017761
9381247710503
10122534240241
1147a6a425346
121b8b85767a9
13b72a2447ca
145d05b4b517
1532c26e6846
hex1c879c1ff1

122534240241 has 64 divisors (see below), whose sum is σ = 207160934400. Its totient is φ = 62838187776.

The previous prime is 122534240221. The next prime is 122534240261. The reversal of 122534240241 is 142042435221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122534240221) and next prime (122534240261).

It is not a de Polignac number, because 122534240241 - 25 = 122534240209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122534240199 and 122534240208.

It is not an unprimeable number, because it can be changed into a prime (122534240221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513360 + ... + 713166.

It is an arithmetic number, because the mean of its divisors is an integer number (3236889600).

Almost surely, 2122534240241 is an apocalyptic number.

It is an amenable number.

122534240241 is a deficient number, since it is larger than the sum of its proper divisors (84626694159).

122534240241 is a wasteful number, since it uses less digits than its factorization.

122534240241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199918.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 122534240241 its reverse (142042435221), we get a palindrome (264576675462).

The spelling of 122534240241 in words is "one hundred twenty-two billion, five hundred thirty-four million, two hundred forty thousand, two hundred forty-one".

Divisors: 1 3 7 19 21 29 53 57 87 133 159 203 371 399 551 609 1007 1113 1537 1653 3021 3857 4611 7049 10759 11571 21147 29203 32277 87609 199807 204421 599421 613263 1398649 3796333 4195947 5794403 10589771 11388999 17383209 26574331 31769313 40560821 74128397 79722993 110093657 121682463 201205649 222385191 307103359 330280971 603616947 770655599 921310077 1408439543 2149723513 2311966797 4225318629 5834963821 6449170539 17504891463 40844746747 122534240241