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21310301435031 = 327248322678991
BaseRepresentation
bin1001101100001101100001…
…11100100111010010010111
32210110020121112210002010200
410312012300330213102113
510243121444131410111
6113153452313151543
74326422064322500
oct466066074472227
983406545702120
1021310301435031
1168767146688a4
1224820b49bb5b3
13bb772567965b
145395d19d3ba7
1526e4e335d256
hex1361b0f27497

21310301435031 has 18 divisors (see below), whose sum is σ = 35807105133072. Its totient is φ = 12177315105480.

The previous prime is 21310301434991. The next prime is 21310301435099. The reversal of 21310301435031 is 13053410301312.

21310301435031 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 301 + 4 + 350 + 3 + 1 = 666.

It is not a de Polignac number, because 21310301435031 - 229 = 21309764564119 is a prime.

It is a super-2 number, since 2×213103014350312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21310301434986 and 21310301435004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310301435431) 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 17 ways as a sum of consecutive naturals, for example, 24161339055 + ... + 24161339936.

It is an arithmetic number, because the mean of its divisors is an integer number (1989283618504).

Almost surely, 221310301435031 is an apocalyptic number.

21310301435031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21310301435031 is a deficient number, since it is larger than the sum of its proper divisors (14496803698041).

21310301435031 is a wasteful number, since it uses less digits than its factorization.

21310301435031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48322679011 (or 48322679001 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 21310301435031 its reverse (13053410301312), we get a palindrome (34363711736343).

The spelling of 21310301435031 in words is "twenty-one trillion, three hundred ten billion, three hundred one million, four hundred thirty-five thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 48322678991 144968036973 338258752937 434904110919 1014776258811 2367811270559 3044328776433 7103433811677 21310301435031