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10132244431 = 291813495531
BaseRepresentation
bin10010110111110110…
…11100011111001111
3222011010121100101021
421123323130133033
5131222323310211
64353225055011
7506041441141
oct113373343717
928133540337
1010132244431
11432a42a231
121b69327467
13c5621070a
146c1948c91
153e47d1771
hex25bedc7cf

10132244431 has 16 divisors (see below), whose sum is σ = 10571652000. Its totient is φ = 9699177600.

The previous prime is 10132244429. The next prime is 10132244449. The reversal of 10132244431 is 13444223101.

It is not a de Polignac number, because 10132244431 - 21 = 10132244429 is a prime.

It is a super-2 number, since 2×101322444312 (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 = 10132244396 and 10132244405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132244471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829136 + ... + 1834666.

It is an arithmetic number, because the mean of its divisors is an integer number (660728250).

Almost surely, 210132244431 is an apocalyptic number.

10132244431 is a deficient number, since it is larger than the sum of its proper divisors (439407569).

10132244431 is a wasteful number, since it uses less digits than its factorization.

10132244431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10132244431 its reverse (13444223101), we get a palindrome (23576467532).

The spelling of 10132244431 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 29 181 349 5249 5531 10121 63169 160399 1001111 1831901 1930319 29032219 55979251 349387739 10132244431