Search a number
-
+
10142312310 = 2325138668643
BaseRepresentation
bin10010111001000011…
…10110011101110110
3222011211112211220200
421130201312131312
5131232412443220
64354224541330
7506223142434
oct113441663566
928154484820
1010142312310
114335086399
121b70781846
13c58327140
146c3009d54
153e561e890
hex25c876776

10142312310 has 48 divisors (see below), whose sum is σ = 28398477744. Its totient is φ = 2496568896.

The previous prime is 10142312293. The next prime is 10142312351. The reversal of 10142312310 is 1321324101.

10142312310 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 312 + 310 = 666.

It is a super-2 number, since 2×101423123102 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4333152 + ... + 4335491.

It is an arithmetic number, because the mean of its divisors is an integer number (591634953).

Almost surely, 210142312310 is an apocalyptic number.

10142312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142312310 is an abundant number, since it is smaller than the sum of its proper divisors (18256165434).

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

10142312310 is a wasteful number, since it uses less digits than its factorization.

10142312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668669 (or 8668666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10142312310 its reverse (1321324101), we get a palindrome (11463636411).

The spelling of 10142312310 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8668643 17337286 26005929 43343215 52011858 78017787 86686430 112692359 130029645 156035574 225384718 260059290 338077077 390088935 563461795 676154154 780177870 1014231231 1126923590 1690385385 2028462462 3380770770 5071156155 10142312310