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10314200431 = 234763115121
BaseRepresentation
bin10011001101100011…
…00011010101101111
3222121210222200002101
421212301203111233
5132110413403211
64423245035531
7513411154123
oct114661432557
928553880071
1010314200431
114413108497
121bba255ba7
13c84b1a9a2
146dbb91583
154057745c1
hex266c6356f

10314200431 has 16 divisors (see below), whose sum is σ = 11009783808. Its totient is φ = 9639907200.

The previous prime is 10314200423. The next prime is 10314200437. The reversal of 10314200431 is 13400241301.

It is not a de Polignac number, because 10314200431 - 23 = 10314200423 is a prime.

It is a super-2 number, since 2×103142004312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10314200399 and 10314200408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314200437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674551 + ... + 689671.

It is an arithmetic number, because the mean of its divisors is an integer number (688111488).

Almost surely, 210314200431 is an apocalyptic number.

10314200431 is a deficient number, since it is larger than the sum of its proper divisors (695583377).

10314200431 is a wasteful number, since it uses less digits than its factorization.

10314200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10314200431 its reverse (13400241301), we get a palindrome (23714441732).

The spelling of 10314200431 in words is "ten billion, three hundred fourteen million, two hundred thousand, four hundred thirty-one".

Divisors: 1 23 47 631 1081 14513 15121 29657 347783 682111 710687 9541351 16345801 219451073 448443497 10314200431