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10020130310321 = 157122149522497
BaseRepresentation
bin1001000111001111111001…
…0011101100100010110001
31022110220201002221222020022
42101303332103230202301
52303132211324412241
633151103451253225
72052634112223545
oct221637623544261
938426632858208
1010020130310321
11321357137711a
121159b7544a215
13578b81829c51
14268d96855a25
151259a734e54b
hex91cfe4ec8b1

10020130310321 has 8 divisors (see below), whose sum is σ = 10084054650600. Its totient is φ = 9956207259648.

The previous prime is 10020130310297. The next prime is 10020130310371. The reversal of 10020130310321 is 12301303102001.

It can be written as a sum of positive squares in 4 ways, for example, as 17838540721 + 10002291769600 = 133561^2 + 3162640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10020130310321 - 210 = 10020130309297 is a prime.

It is a super-2 number, since 2×100201303103212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10020130310321.

It is not an unprimeable number, because it can be changed into a prime (10020130310371) 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 7 ways as a sum of consecutive naturals, for example, 18916145 + ... + 19438641.

It is an arithmetic number, because the mean of its divisors is an integer number (1260506831325).

Almost surely, 210020130310321 is an apocalyptic number.

It is an amenable number.

10020130310321 is a deficient number, since it is larger than the sum of its proper divisors (63924340279).

10020130310321 is a wasteful number, since it uses less digits than its factorization.

10020130310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644803.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10020130310321 its reverse (12301303102001), we get a palindrome (22321433412322).

The spelling of 10020130310321 in words is "ten trillion, twenty billion, one hundred thirty million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 157 122149 522497 19177393 82032029 63822486053 10020130310321