Search a number
-
+
10105772383 = 7171927116493
BaseRepresentation
bin10010110100101100…
…11101100101011111
3222002021210102120001
421122112131211133
5131144034204013
64350441435131
7505300435150
oct113226354537
928067712501
1010105772383
114316499403
121b6049baa7
13c508a2495
146bc217927
153e2302ddd
hex25a59d95f

10105772383 has 32 divisors (see below), whose sum is σ = 12920739840. Its totient is φ = 7694507520.

The previous prime is 10105772333. The next prime is 10105772393. The reversal of 10105772383 is 38327750101.

It is not a de Polignac number, because 10105772383 - 213 = 10105764191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105772333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604485 + ... + 620977.

It is an arithmetic number, because the mean of its divisors is an integer number (403773120).

Almost surely, 210105772383 is an apocalyptic number.

10105772383 is a deficient number, since it is larger than the sum of its proper divisors (2814967457).

10105772383 is a wasteful number, since it uses less digits than its factorization.

10105772383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16807.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 10105772383 in words is "ten billion, one hundred five million, seven hundred seventy-two thousand, three hundred eighty-three".

Divisors: 1 7 17 19 119 133 271 323 1897 2261 4607 5149 16493 32249 36043 87533 115451 280381 313367 612731 1962667 2193569 4469603 5327239 31287221 37290673 75983251 84922457 531882757 594457199 1443681769 10105772383