Search a number
-
+
10131706420 = 2251146053211
BaseRepresentation
bin10010110111110010…
…11001001000110100
3222011002121000100221
421123321121020310
5131222204101140
64353205344124
7506034040453
oct113371311064
928132530327
1010131706420
11432a0a1aa0
121b69108044
13c56082874
146c1848b9a
153e472714a
hex25be59234

10131706420 has 24 divisors (see below), whose sum is σ = 23210818848. Its totient is φ = 3684256800.

The previous prime is 10131706399. The next prime is 10131706441. The reversal of 10131706420 is 2460713101.

10131706420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10131706399) and next prime (10131706441).

It is a congruent number.

It is an unprimeable number.

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, 23026386 + ... + 23026825.

It is an arithmetic number, because the mean of its divisors is an integer number (967117452).

Almost surely, 210131706420 is an apocalyptic number.

10131706420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131706420 is an abundant number, since it is smaller than the sum of its proper divisors (13079112428).

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

10131706420 is a wasteful number, since it uses less digits than its factorization.

10131706420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46053231 (or 46053229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 10131706420 in words is "ten billion, one hundred thirty-one million, seven hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 46053211 92106422 184212844 230266055 460532110 506585321 921064220 1013170642 2026341284 2532926605 5065853210 10131706420