Search a number
-
+
102230331040 = 2553717268637
BaseRepresentation
bin101111100110101100…
…1110000111010100000
3100202212121101220021001
41133031121300322200
53133331431043130
6114544114441344
710246235322235
oct1371531607240
9322777356231
10102230331040
113a3a03a18a2
1217990893254
139842900956
144d3b35578c
1529d4e486ca
hex17cd670ea0

102230331040 has 48 divisors (see below), whose sum is σ = 248046716232. Its totient is φ = 39786937344.

The previous prime is 102230330981. The next prime is 102230331043. The reversal of 102230331040 is 40133032201.

102230331040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98191982736 + 4038348304 = 313356^2 + 63548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102230330999 and 102230331017.

It is not an unprimeable number, because it can be changed into a prime (102230331043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8628399 + ... + 8640238.

Almost surely, 2102230331040 is an apocalyptic number.

102230331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102230331040 is an abundant number, since it is smaller than the sum of its proper divisors (145816385192).

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

102230331040 is a wasteful number, since it uses less digits than its factorization.

102230331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268689 (or 17268681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102230331040 its reverse (40133032201), we get a palindrome (142363363241).

The spelling of 102230331040 in words is "one hundred two billion, two hundred thirty million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 17268637 34537274 69074548 86343185 138149096 172686370 276298192 345372740 552596384 638939569 690745480 1277879138 1381490960 2555758276 2762981920 3194697845 5111516552 6389395690 10223033104 12778791380 20446066208 25557582760 51115165520 102230331040