Search a number
-
+
3131260500 = 223532971983
BaseRepresentation
bin1011101010100011…
…0011111001010100
322002020000111220010
42322220303321110
522403100314000
61234413440220
7140411163234
oct27250637124
98066014803
103131260500
1113675733a5
127347a0070
133ab951984
14219c13cc4
15134d70d50
hexbaa33e54

3131260500 has 96 divisors (see below), whose sum is σ = 9432783360. Its totient is φ = 806198400.

The previous prime is 3131260499. The next prime is 3131260513. The reversal of 3131260500 is 50621313.

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 31 ways as a sum of consecutive naturals, for example, 7509 + ... + 79491.

It is an arithmetic number, because the mean of its divisors is an integer number (98258160).

Almost surely, 23131260500 is an apocalyptic number.

3131260500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716391680).

3131260500 is an abundant number, since it is smaller than the sum of its proper divisors (6301522860).

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

3131260500 is a wasteful number, since it uses less digits than its factorization.

3131260500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72034 (or 72022 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3131260500 is about 55957.6670350007. The cubic root of 3131260500 is about 1462.9845278936.

Adding to 3131260500 its reverse (50621313), we get a palindrome (3181881813).

It can be divided in two parts, 3 and 131260500, that added together give a triangular number (131260503 = T16202).

The spelling of 3131260500 in words is "three billion, one hundred thirty-one million, two hundred sixty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 8700 10875 14500 21750 43500 71983 143966 215949 287932 359915 431898 719830 863796 1079745 1439660 1799575 2087507 2159490 3599150 4175014 4318980 5398725 6262521 7198300 8350028 8997875 10437535 10797450 12525042 17995750 20875070 21594900 25050084 26993625 31312605 35991500 41750140 52187675 53987250 62625210 104375350 107974500 125250420 156563025 208750700 260938375 313126050 521876750 626252100 782815125 1043753500 1565630250 3131260500