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112124432344401 = 32173353204003181
BaseRepresentation
bin11001011111101000000000…
…111101011110010101010001
3112200222222202110210200001100
4121133220000331132111101
5104144021314140010101
61034245130401455013
732421502646510121
oct3137500075362521
9480888673720040
10112124432344401
11327a9782a87044
12106aa571641469
134a7439a098c89
141d98bcc670c81
15ce693186ce86
hex65fa00f5e551

112124432344401 has 24 divisors (see below), whose sum is σ = 163355139980136. Its totient is φ = 74107011179520.

The previous prime is 112124432344387. The next prime is 112124432344439. The reversal of 112124432344401 is 104443234421211.

112124432344401 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 244 + 3 + 2 + 3 + 4 + 4 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40389901643025 + 71734530701376 = 6355305^2 + 8469624^2 .

It is not a de Polignac number, because 112124432344401 - 213 = 112124432336209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112124432344451) 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, 101451970 + ... + 102551211.

It is an arithmetic number, because the mean of its divisors is an integer number (6806464165839).

Almost surely, 2112124432344401 is an apocalyptic number.

It is an amenable number.

112124432344401 is a deficient number, since it is larger than the sum of its proper divisors (51230707635735).

112124432344401 is a wasteful number, since it uses less digits than its factorization.

112124432344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204003713 (or 204003710 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 112124432344401 its reverse (104443234421211), we get a palindrome (216567666765612).

The spelling of 112124432344401 in words is "one hundred twelve trillion, one hundred twenty-four billion, four hundred thirty-two million, three hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 173 353 519 1059 1557 3177 61069 183207 549621 204003181 612009543 1836028629 35292550313 72013122893 105877650939 216039368679 317632952817 648118106037 12458270260489 37374810781467 112124432344401