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10103034321 = 329711572777
BaseRepresentation
bin10010110100011000…
…00001000111010001
3222002002122022122100
421122030001013101
5131142334044241
64350303031013
7505235242362
oct113214010721
928062568570
1010103034321
114314999246
121b5b59b469
13c50154123
146bbb03b69
153e1e619b6
hex25a3011d1

10103034321 has 12 divisors (see below), whose sum is σ = 14743719172. Its totient is φ = 6665918976.

The previous prime is 10103034301. The next prime is 10103034373. The reversal of 10103034321 is 12343030101.

It can be written as a sum of positive squares in 2 ways, for example, as 2798939025 + 7304095296 = 52905^2 + 85464^2 .

It is not a de Polignac number, because 10103034321 - 227 = 9968816593 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10103034294 and 10103034303.

It is not an unprimeable number, because it can be changed into a prime (10103034301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5785516 + ... + 5787261.

Almost surely, 210103034321 is an apocalyptic number.

It is an amenable number.

10103034321 is a deficient number, since it is larger than the sum of its proper divisors (4640684851).

10103034321 is a wasteful number, since it uses less digits than its factorization.

10103034321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572880 (or 11572877 counting only the distinct ones).

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

Adding to 10103034321 its reverse (12343030101), we get a palindrome (22446064422).

The spelling of 10103034321 in words is "ten billion, one hundred three million, thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 97 291 873 11572777 34718331 104154993 1122559369 3367678107 10103034321