Search a number
-
+
10237135041 = 327162494207
BaseRepresentation
bin10011000100010111…
…00100100011000001
3222102102222100020200
421202023210203001
5131431201310131
64411453155413
7511454132520
oct114213444301
928372870220
1010237135041
114383661091
121b9848bb69
13c71b77273
146d18504b7
153edb002e6
hex2622e48c1

10237135041 has 12 divisors (see below), whose sum is σ = 16899397632. Its totient is φ = 5849791416.

The previous prime is 10237135019. The next prime is 10237135057. The reversal of 10237135041 is 14053173201.

It is not a de Polignac number, because 10237135041 - 27 = 10237134913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10237134996 and 10237135014.

It is not an unprimeable number, because it can be changed into a prime (10237135081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81247041 + ... + 81247166.

It is an arithmetic number, because the mean of its divisors is an integer number (1408283136).

Almost surely, 210237135041 is an apocalyptic number.

It is an amenable number.

10237135041 is a deficient number, since it is larger than the sum of its proper divisors (6662262591).

10237135041 is a wasteful number, since it uses less digits than its factorization.

10237135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162494220 (or 162494217 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10237135041 in words is "ten billion, two hundred thirty-seven million, one hundred thirty-five thousand, forty-one".

Divisors: 1 3 7 9 21 63 162494207 487482621 1137459449 1462447863 3412378347 10237135041