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101023223030301 = 311131132083941313
BaseRepresentation
bin10110111110000101001101…
…010100101010001000011101
3111020200201121002222010102010
4112332011031110222020131
5101220131030043432201
6554505232235221433
730164454433325055
oct2676051524521035
9436621532863363
10101023223030301
112a2097878044a0
12b3b6b88ba7879
13444a5ab75c720
141ad379b602565
15ba2ca4bedbd6
hex5be14d52a21d

101023223030301 has 32 divisors (see below), whose sum is σ = 159646576182912. Its totient is φ = 56016342466560.

The previous prime is 101023223030209. The next prime is 101023223030333. The reversal of 101023223030301 is 103030322320101.

It is not a de Polignac number, because 101023223030301 - 29 = 101023223029789 is a prime.

It is a super-2 number, since 2×1010232230303012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023223050301) 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 31 ways as a sum of consecutive naturals, for example, 1041922180 + ... + 1042019133.

It is an arithmetic number, because the mean of its divisors is an integer number (4988955505716).

Almost surely, 2101023223030301 is an apocalyptic number.

101023223030301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023223030301 is a deficient number, since it is larger than the sum of its proper divisors (58623353152611).

101023223030301 is a wasteful number, since it uses less digits than its factorization.

101023223030301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083941453.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101023223030301 its reverse (103030322320101), we get a palindrome (204053545350402).

The spelling of 101023223030301 in words is "one hundred one trillion, twenty-three billion, two hundred twenty-three million, thirty thousand, three hundred one".

Divisors: 1 3 11 13 33 39 113 143 339 429 1243 1469 3729 4407 16159 48477 2083941313 6251823939 22923354443 27091237069 68770063329 81273711207 235485368369 298003607759 706456105107 894010823277 2590339052059 3061309788797 7771017156177 9183929366391 33674407676767 101023223030301