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131302201300 = 22521777236589
BaseRepresentation
bin111101001001000111…
…0001001011111010100
3110112220200020220222121
41322102032021133110
54122401330420200
6140152553505324
712325535203414
oct1722216113724
9415820226877
10131302201300
1150759740256
1221544a12244
13c4c690074a
1464d8400644
15363733ae1a
hex1e923897d4

131302201300 has 36 divisors (see below), whose sum is σ = 301686120540. Its totient is φ = 49431416320.

The previous prime is 131302201273. The next prime is 131302201361. The reversal of 131302201300 is 3102203131.

It can be written as a sum of positive squares in 6 ways, for example, as 17189307664 + 114112893636 = 131108^2 + 337806^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38616595 + ... + 38619994.

It is an arithmetic number, because the mean of its divisors is an integer number (8380170015).

Almost surely, 2131302201300 is an apocalyptic number.

131302201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131302201300 is an abundant number, since it is smaller than the sum of its proper divisors (170383919240).

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

131302201300 is a wasteful number, since it uses less digits than its factorization.

131302201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77236620 (or 77236613 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131302201300 its reverse (3102203131), we get a palindrome (134404404431).

The spelling of 131302201300 in words is "one hundred thirty-one billion, three hundred two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 77236589 154473178 308946356 386182945 772365890 1313022013 1544731780 1930914725 2626044026 3861829450 5252088052 6565110065 7723658900 13130220130 26260440260 32825550325 65651100650 131302201300