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10201131300 = 22352101336671
BaseRepresentation
bin10011000000000100…
…01110100100100100
3222022221020011101210
421200002032210210
5131342442200200
64404125351420
7510536120403
oct114002164444
928287204353
1010201131300
1143652aaa28
121b88408570
13c6757c689
146cab5b63a
153ea88c650
hex26008e924

10201131300 has 72 divisors (see below), whose sum is σ = 29807592192. Its totient is φ = 2693360000.

The previous prime is 10201131289. The next prime is 10201131307. The reversal of 10201131300 is 313110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10201131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138036 + ... + 198635.

It is an arithmetic number, because the mean of its divisors is an integer number (413994336).

Almost surely, 210201131300 is an apocalyptic number.

10201131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201131300 is an abundant number, since it is smaller than the sum of its proper divisors (19606460892).

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

10201131300 is a wasteful number, since it uses less digits than its factorization.

10201131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336789 (or 336782 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10201131300 its reverse (313110201), we get a palindrome (10514241501).

The spelling of 10201131300 in words is "ten billion, two hundred one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 336671 673342 1010013 1346684 1683355 2020026 3366710 4040052 5050065 6733420 8416775 10100130 16833550 20200260 25250325 33667100 34003771 50500650 68007542 101001300 102011313 136015084 170018855 204022626 340037710 408045252 510056565 680075420 850094275 1020113130 1700188550 2040226260 2550282825 3400377100 5100565650 10201131300