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103642557067 = 737400164313
BaseRepresentation
bin110000010000110010…
…0111110101010001011
3100220112000202102011201
41200201210332222023
53144224443311232
6115340203405031
710326234125260
oct1404144765213
9326460672151
10103642557067
113aa55581145
1218105823777
139a0937025a
145032b2b267
152a68e05be7
hex182193ea8b

103642557067 has 8 divisors (see below), whose sum is σ = 121649951456. Its totient is φ = 86435491392.

The previous prime is 103642557061. The next prime is 103642557089. The reversal of 103642557067 is 760755246301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103642557067 - 219 = 103642032779 is a prime.

It is a super-3 number, since 3×1036425570673 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103642557061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200081898 + ... + 200082415.

It is an arithmetic number, because the mean of its divisors is an integer number (15206243932).

Almost surely, 2103642557067 is an apocalyptic number.

103642557067 is a deficient number, since it is larger than the sum of its proper divisors (18007394389).

103642557067 is an equidigital number, since it uses as much as digits as its factorization.

103642557067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400164357.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 103642557067 in words is "one hundred three billion, six hundred forty-two million, five hundred fifty-seven thousand, sixty-seven".

Divisors: 1 7 37 259 400164313 2801150191 14806079581 103642557067