Search a number
-
+
122401105314243 = 3723623812297749
BaseRepresentation
bin11011110101001010111010…
…011001110000000111000011
3121001101102122111001000222220
4123311022322121300013003
5112020404430430023433
61112154142544502123
734532121331461600
oct3365127231600703
9531342574030886
10122401105314243
1136001020a61338
121188a1a261a943
13533b4b42c0b72
1422323608056a7
15e23e010b22b3
hex6f52ba6701c3

122401105314243 has 24 divisors (see below), whose sum is σ = 189847218834000. Its totient is φ = 69943265300160.

The previous prime is 122401105314209. The next prime is 122401105314251. The reversal of 122401105314243 is 342413501104221.

122401105314243 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122401105314243 - 28 = 122401105313987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122401105314203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52121133 + ... + 54418881.

It is an arithmetic number, because the mean of its divisors is an integer number (7910300784750).

Almost surely, 2122401105314243 is an apocalyptic number.

122401105314243 is a deficient number, since it is larger than the sum of its proper divisors (67446113519757).

122401105314243 is a wasteful number, since it uses less digits than its factorization.

122401105314243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660147 (or 2660140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 122401105314243 its reverse (342413501104221), we get a palindrome (464814606418464).

The spelling of 122401105314243 in words is "one hundred twenty-two trillion, four hundred one billion, one hundred five million, three hundred fourteen thousand, two hundred forty-three".

Divisors: 1 3 7 21 49 147 362381 1087143 2297749 2536667 6893247 7610001 16084243 17756669 48252729 53270007 112589701 337769103 832660580369 2497981741107 5828624062583 17485872187749 40800368438081 122401105314243