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10230131322 = 232568340629
BaseRepresentation
bin10011000011100001…
…10110101001111010
3222101221210111221200
421201300312221322
5131422403200242
64411043115030
7511340452515
oct114160665172
928357714850
1010230131322
11437a708094
121b96072a76
13c70594458
146d0949d7c
153ed1ba04c
hex261c36a7a

10230131322 has 12 divisors (see below), whose sum is σ = 22165284570. Its totient is φ = 3410043768.

The previous prime is 10230131281. The next prime is 10230131323. The reversal of 10230131322 is 22313103201.

10230131322 is a `hidden beast` number, since 10 + 2 + 301 + 31 + 322 = 666.

10230131322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9793279521 + 436851801 = 98961^2 + 20901^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 568340629 = 10230131322 / (1 + 0 + 2 + 3 + 0 + 1 + 3 + 1 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10230131295 and 10230131304.

It is not an unprimeable number, because it can be changed into a prime (10230131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284170297 + ... + 284170332.

Almost surely, 210230131322 is an apocalyptic number.

10230131322 is an abundant number, since it is smaller than the sum of its proper divisors (11935153248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10230131322 is a wasteful number, since it uses less digits than its factorization.

10230131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568340637 (or 568340634 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10230131322 its reverse (22313103201), we get a palindrome (32543234523).

The spelling of 10230131322 in words is "ten billion, two hundred thirty million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 568340629 1136681258 1705021887 3410043774 5115065661 10230131322