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105242204001 = 3112289923427
BaseRepresentation
bin110001000000011101…
…1001001011101100001
3101001122111202220020110
41202000323021131201
53211014001012001
6120203025401533
710413666655044
oct1420073113541
9331574686213
10105242204001
11406a6531600
12184914992a9
139c028b13bc
14514536cc5b
152b0e5853d6
hex1880ec9761

105242204001 has 12 divisors (see below), whose sum is σ = 154239263696. Its totient is φ = 63783153720.

The previous prime is 105242203999. The next prime is 105242204003. The reversal of 105242204001 is 100402242501.

It is an interprime number because it is at equal distance from previous prime (105242203999) and next prime (105242204003).

It is not a de Polignac number, because 105242204001 - 21 = 105242203999 is a prime.

It is a super-2 number, since 2×1052422040012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105242204003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144961351 + ... + 144962076.

Almost surely, 2105242204001 is an apocalyptic number.

105242204001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105242204001 is a deficient number, since it is larger than the sum of its proper divisors (48997059695).

105242204001 is a wasteful number, since it uses less digits than its factorization.

105242204001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289923452 (or 289923441 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 105242204001 its reverse (100402242501), we get a palindrome (205644446502).

The spelling of 105242204001 in words is "one hundred five billion, two hundred forty-two million, two hundred four thousand, one".

Divisors: 1 3 11 33 121 363 289923427 869770281 3189157697 9567473091 35080734667 105242204001