Search a number
-
+
130974828500 = 2253261949657
BaseRepresentation
bin111100111111010110…
…1010100011111010100
3110112001212020122221002
41321332231110133110
54121214024003000
6140100301042432
712314451446645
oct1717655243724
9415055218832
10130974828500
115060097021a
1221473256418
13c473b3a729
1464a6b436cc
1536187218d5
hex1e7eb547d4

130974828500 has 24 divisors (see below), whose sum is σ = 286049026536. Its totient is φ = 52389931200.

The previous prime is 130974828463. The next prime is 130974828521. The reversal of 130974828500 is 5828479031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8498627344 + 122476201156 = 92188^2 + 349966^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130974329 + ... + 130975328.

It is an arithmetic number, because the mean of its divisors is an integer number (11918709439).

Almost surely, 2130974828500 is an apocalyptic number.

130974828500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130974828500 is an abundant number, since it is smaller than the sum of its proper divisors (155074198036).

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

130974828500 is a wasteful number, since it uses less digits than its factorization.

130974828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261949676 (or 261949664 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 130974828500 in words is "one hundred thirty billion, nine hundred seventy-four million, eight hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 261949657 523899314 1047798628 1309748285 2619496570 5238993140 6548741425 13097482850 26194965700 32743707125 65487414250 130974828500