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126326264141 = 71123181577683
BaseRepresentation
bin111010110100110100…
…0011101000101001101
3110002001220011010102202
41311221220131011031
54032204010423031
6134011122131245
712061324346120
oct1655150350515
9402056133382
10126326264141
1149635978aa0
12205964b0b25
13bbb2a4862c
1461856043b7
1534455892cb
hex1d69a1d14d

126326264141 has 64 divisors (see below), whose sum is σ = 165782163456. Its totient is φ = 93336883200.

The previous prime is 126326264131. The next prime is 126326264153. The reversal of 126326264141 is 141462623621.

It is not a de Polignac number, because 126326264141 - 214 = 126326247757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126326264095 and 126326264104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126326264131) 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 63 ways as a sum of consecutive naturals, for example, 184957586 + ... + 184958268.

It is an arithmetic number, because the mean of its divisors is an integer number (2590346304).

Almost surely, 2126326264141 is an apocalyptic number.

126326264141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126326264141 is a deficient number, since it is larger than the sum of its proper divisors (39455899315).

126326264141 is a wasteful number, since it uses less digits than its factorization.

126326264141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482.

The product of its digits is 82944, while the sum is 38.

Adding to 126326264141 its reverse (141462623621), we get a palindrome (267788887762).

The spelling of 126326264141 in words is "one hundred twenty-six billion, three hundred twenty-six million, two hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 7 11 23 77 161 181 253 577 683 1267 1771 1991 4039 4163 4781 6347 7513 13271 13937 15709 29141 44429 45793 52591 92897 104437 109963 123623 145981 172799 320551 394091 731059 865361 1021867 1148807 1209593 1359853 2402051 2758637 2843329 4335001 8041649 9064093 9518971 16814357 19903303 26422561 30345007 31276619 63448651 71330471 99705023 184957927 218936333 499313297 697935161 784635181 1640600833 5492446267 11484205831 18046609163 126326264141