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420434403313101 = 32334953873240983
BaseRepresentation
bin101111110011000100000001…
…1010000101100010111001101
32001010122010200110012101011220
41133212020003100230113031
5420101344124222004401
64050104522023433553
7154362245311131522
oct13746100320542715
92033563613171156
10420434403313101
11111a66257a713a1
123b1a3006bb58b9
1315079a42887c08
1475b71c2c11149
1533916e4d77336
hex17e620342c5cd

420434403313101 has 32 divisors (see below), whose sum is σ = 586737372211200. Its totient is φ = 267285185644224.

The previous prime is 420434403313031. The next prime is 420434403313117. The reversal of 420434403313101 is 101313304434024.

It is not a de Polignac number, because 420434403313101 - 247 = 279696914957773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420434403313181) 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, 128103856 + ... + 131344838.

It is an arithmetic number, because the mean of its divisors is an integer number (18335542881600).

Almost surely, 2420434403313101 is an apocalyptic number.

It is an amenable number.

420434403313101 is a deficient number, since it is larger than the sum of its proper divisors (166302968898099).

420434403313101 is a wasteful number, since it uses less digits than its factorization.

420434403313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246745.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 420434403313101 its reverse (101313304434024), we get a palindrome (521747707747125).

The spelling of 420434403313101 in words is "four hundred twenty trillion, four hundred thirty-four billion, four hundred three million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 23 69 349 1047 5387 8027 16161 24081 123901 371703 1880063 3240983 5640189 9722949 43241449 74542609 129724347 223627827 1131103067 3393309201 17459175421 26015370541 52377526263 78046111623 401561034683 1204683104049 6093252221929 18279756665787 140144801104367 420434403313101