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34554243532301 = 312197182520553
BaseRepresentation
bin1111101101101010010010…
…11010010100011000001101
311112100100112122101010020122
413312311021122110120031
514012114042321013201
6201254000023354325
710164314236605023
oct766651132243015
9145310478333218
1034554243532301
1110012410712859
123a60a162b29a5
1316385b333370c
14876611a68713
153edc7da89e1b
hex1f6d4969460d

34554243532301 has 12 divisors (see below), whose sum is σ = 35886096204156. Its totient is φ = 33269846218560.

The previous prime is 34554243532271. The next prime is 34554243532307. The reversal of 34554243532301 is 10323534245543.

It can be written as a sum of positive squares in 2 ways, for example, as 33597661729801 + 956581802500 = 5796349^2 + 978050^2 .

It is a de Polignac number, because none of the positive numbers 2k-34554243532301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34554243532307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91070960 + ... + 91449593.

It is an arithmetic number, because the mean of its divisors is an integer number (2990508017013).

Almost surely, 234554243532301 is an apocalyptic number.

34554243532301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34554243532301 is a deficient number, since it is larger than the sum of its proper divisors (1331852671855).

34554243532301 is a wasteful number, since it uses less digits than its factorization.

34554243532301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182520812 (or 182520781 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 44.

Adding to 34554243532301 its reverse (10323534245543), we get a palindrome (44877777777844).

The spelling of 34554243532301 in words is "thirty-four trillion, five hundred fifty-four billion, two hundred forty-three million, five hundred thirty-two thousand, three hundred one".

Divisors: 1 31 197 961 6107 189317 182520553 5658137143 35956548941 175402251433 1114653017171 34554243532301