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10132014032 = 247241375371
BaseRepresentation
bin10010110111110101…
…00100001111010000
3222011010011122022222
421123322210033100
5131222243422112
64353220120212
7506036461340
oct113372441720
928133148288
1010132014032
11432a292118
121b69236068
13c5615c89a
146c18c8d20
153e4788372
hex25bea43d0

10132014032 has 40 divisors (see below), whose sum is σ = 22528325952. Its totient is φ = 4324262400.

The previous prime is 10132014031. The next prime is 10132014037. The reversal of 10132014032 is 23041023101.

10132014032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10132014032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132014031) 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 7 ways as a sum of consecutive naturals, for example, 160694 + ... + 214677.

Almost surely, 210132014032 is an apocalyptic number.

It is an amenable number.

10132014032 is an abundant number, since it is smaller than the sum of its proper divisors (12396311920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132014032 is a wasteful number, since it uses less digits than its factorization.

10132014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375627 (or 375621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10132014032 its reverse (23041023101), we get a palindrome (33173037133).

The spelling of 10132014032 in words is "ten billion, one hundred thirty-two million, fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 6748 13496 26992 375371 750742 1501484 2627597 3002968 5255194 6005936 10510388 21020776 42041552 90464411 180928822 361857644 633250877 723715288 1266501754 1447430576 2533003508 5066007016 10132014032