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10121320323 = 324507249521
BaseRepresentation
bin10010110110100011…
…10001011110000011
3222010101001100022200
421123101301132003
5131212024222243
64352155004243
7505546542342
oct113321613603
928111040280
1010121320323
114324248844
121b65739683
13c53b8734a
146c0303b59
153e3874ad3
hex25b471783

10121320323 has 12 divisors (see below), whose sum is σ = 14622987288. Its totient is φ = 6746022720.

The previous prime is 10121320309. The next prime is 10121320333. The reversal of 10121320323 is 32302312101.

10121320323 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 320 + 323 = 666.

10121320323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121320323 - 29 = 10121319811 is a prime.

It is a super-2 number, since 2×101213203232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121320296 and 10121320305.

It is not an unprimeable number, because it can be changed into a prime (10121320303) 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 11 ways as a sum of consecutive naturals, for example, 84198 + ... + 165323.

It is an arithmetic number, because the mean of its divisors is an integer number (1218582274).

Almost surely, 210121320323 is an apocalyptic number.

10121320323 is a deficient number, since it is larger than the sum of its proper divisors (4501666965).

10121320323 is a wasteful number, since it uses less digits than its factorization.

10121320323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254034 (or 254031 counting only the distinct ones).

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

Adding to 10121320323 its reverse (32302312101), we get a palindrome (42423632424).

The spelling of 10121320323 in words is "ten billion, one hundred twenty-one million, three hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 9 4507 13521 40563 249521 748563 2245689 1124591147 3373773441 10121320323