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103432142401 = 728009263561
BaseRepresentation
bin110000001010100001…
…0010011111001000001
3100212222100211020111221
41200111002103321001
53143312112024101
6115303245435041
710321100463400
oct1402502237101
9325870736457
10103432142401
113a957825525
121806726ba81
1399a48aa733
145012bd7637
152a556e0aa1
hex1815093e41

103432142401 has 12 divisors (see below), whose sum is σ = 120334502340. Its totient is φ = 88644716160.

The previous prime is 103432142369. The next prime is 103432142417. The reversal of 103432142401 is 104241234301.

It can be written as a sum of positive squares in 2 ways, for example, as 46052730801 + 57379411600 = 214599^2 + 239540^2 .

It is not a de Polignac number, because 103432142401 - 25 = 103432142369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103432142491) 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, 260661 + ... + 524221.

It is an arithmetic number, because the mean of its divisors is an integer number (10027875195).

Almost surely, 2103432142401 is an apocalyptic number.

It is an amenable number.

103432142401 is a deficient number, since it is larger than the sum of its proper divisors (16902359939).

103432142401 is an equidigital number, since it uses as much as digits as its factorization.

103432142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271584 (or 271577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 103432142401 its reverse (104241234301), we get a palindrome (207673376702).

The spelling of 103432142401 in words is "one hundred three billion, four hundred thirty-two million, one hundred forty-two thousand, four hundred one".

Divisors: 1 7 49 8009 56063 263561 392441 1844927 12914489 2110860049 14776020343 103432142401