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10103221323 = 3213805310723
BaseRepresentation
bin10010110100011001…
…01110110001001011
3222002002222211011100
421122030232301023
5131142411040243
64350311032443
7505236651516
oct113214566113
928062884140
1010103221323
114315006798
121b5b66b723
13c501bb290
146bbb51d7d
153e1e9c0d3
hex25a32ec4b

10103221323 has 24 divisors (see below), whose sum is σ = 15719539472. Its totient is φ = 6216015168.

The previous prime is 10103221313. The next prime is 10103221333. The reversal of 10103221323 is 32312230101.

10103221323 is a `hidden beast` number, since 10 + 10 + 322 + 1 + 323 = 666.

10103221323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10103221313) and next prime (10103221333).

It is not a de Polignac number, because 10103221323 - 212 = 10103217227 is a prime.

It is a super-2 number, since 2×101032213232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10103221296 and 10103221305.

It is not an unprimeable number, because it can be changed into a prime (10103221313) 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 23 ways as a sum of consecutive naturals, for example, 936840 + ... + 947562.

Almost surely, 210103221323 is an apocalyptic number.

10103221323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10103221323 is a deficient number, since it is larger than the sum of its proper divisors (5616318149).

10103221323 is a wasteful number, since it uses less digits than its factorization.

10103221323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18792 counting only the distinct ones).

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

Adding to 10103221323 its reverse (32312230101), we get a palindrome (42415451424).

The spelling of 10103221323 in words is "ten billion, one hundred three million, two hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 13 39 117 8053 10723 24159 32169 72477 96507 104689 139399 314067 418197 942201 1254591 86352319 259056957 777170871 1122580147 3367740441 10103221323