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126891000301 = 1353184166909
BaseRepresentation
bin111011000101101001…
…0110000000111101101
3110010112020210200210211
41312023102300013231
54034333044002201
6134143134302421
712111322464202
oct1661322600755
9403466720724
10126891000301
11498a573069a
1220713657a11
13bc72a48340
1461da60bca9
153479e3d651
hex1d8b4b01ed

126891000301 has 8 divisors (see below), whose sum is σ = 139230183960. Its totient is φ = 114920150592.

The previous prime is 126891000289. The next prime is 126891000323. The reversal of 126891000301 is 103000198621.

It can be written as a sum of positive squares in 4 ways, for example, as 2493004900 + 124397995401 = 49930^2 + 352701^2 .

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

It is not a de Polignac number, because 126891000301 - 233 = 118301065709 is a prime.

It is a super-2 number, since 2×1268910003012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126891000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92082766 + ... + 92084143.

It is an arithmetic number, because the mean of its divisors is an integer number (17403772995).

Almost surely, 2126891000301 is an apocalyptic number.

It is an amenable number.

126891000301 is a deficient number, since it is larger than the sum of its proper divisors (12339183659).

126891000301 is a wasteful number, since it uses less digits than its factorization.

126891000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184166975.

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 126891000301 its reverse (103000198621), we get a palindrome (229891198922).

The spelling of 126891000301 in words is "one hundred twenty-six billion, eight hundred ninety-one million, three hundred one", and thus it is an aban number.

Divisors: 1 13 53 689 184166909 2394169817 9760846177 126891000301