Search a number
-
+
10131113300 = 22527111315729
BaseRepresentation
bin10010110111101110…
…01000010101010100
3222011001110212202112
421123313020111110
5131222031111200
64353144530152
7506026020320
oct113367102524
928131425675
1010131113300
114329827410
121b68a80958
13c55c058c9
146c1732980
153e465b535
hex25bdc8554

10131113300 has 72 divisors (see below), whose sum is σ = 27409287360. Its totient is φ = 3157747200.

The previous prime is 10131113281. The next prime is 10131113323. The reversal of 10131113300 is 331113101.

It is a happy number.

10131113300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 650165 + ... + 665564.

Almost surely, 210131113300 is an apocalyptic number.

10131113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131113300 is an abundant number, since it is smaller than the sum of its proper divisors (17278174060).

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

10131113300 is a wasteful number, since it uses less digits than its factorization.

10131113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315761 (or 1315754 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10131113300 its reverse (331113101), we get a palindrome (10462226401).

The spelling of 10131113300 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1315729 2631458 5262916 6578645 9210103 13157290 14473019 18420206 26314580 28946038 32893225 36840412 46050515 57892076 65786450 72365095 92101030 101311133 131572900 144730190 184202060 202622266 230252575 289460380 361825475 405244532 460505150 506555665 723650950 921010300 1013111330 1447301900 2026222660 2532778325 5065556650 10131113300