Search a number
-
+
10142330310 = 2325741261157
BaseRepresentation
bin10010111001000011…
…11010110111000110
3222011211120202121100
421130201322313012
5131232414032220
64354225200530
7506223246060
oct113441726706
928154522540
1010142330310
114335098972
121b70790146
13c583323a8
146c3012730
153e5624d90
hex25c87adc6

10142330310 has 288 divisors, whose sum is σ = 31596566976. Its totient is φ = 2210457600.

The previous prime is 10142330299. The next prime is 10142330311. The reversal of 10142330310 is 1303324101.

10142330310 is a `hidden beast` number, since 10 + 14 + 2 + 330 + 310 = 666.

It is a super-2 number, since 2×101423303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142330311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64600752 + ... + 64600908.

It is an arithmetic number, because the mean of its divisors is an integer number (109710302).

Almost surely, 210142330310 is an apocalyptic number.

10142330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798283488).

10142330310 is an abundant number, since it is smaller than the sum of its proper divisors (21454236666).

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

10142330310 is a wasteful number, since it uses less digits than its factorization.

10142330310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10142330310 its reverse (1303324101), we get a palindrome (11445654411).

The spelling of 10142330310 in words is "ten billion, one hundred forty-two million, three hundred thirty thousand, three hundred ten".