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1010131300 = 2252101103971
BaseRepresentation
bin111100001101010…
…110000101100100
32121101201222122101
4330031112011210
54032043200200
6244122341444
734013655133
oct7415260544
92541658571
101010131300
11479213662
1224235a884
13131376739
149822791a
155da3326a
hex3c356164

1010131300 has 72 divisors (see below), whose sum is σ = 2237481792. Its totient is φ = 395760000.

The previous prime is 1010131289. The next prime is 1010131303. The reversal of 1010131300 is 31310101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010131303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039815 + ... + 1040785.

It is an arithmetic number, because the mean of its divisors is an integer number (31076136).

Almost surely, 21010131300 is an apocalyptic number.

1010131300 is a gapful number since it is divisible by the number (10) 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 1010131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118740896).

1010131300 is an abundant number, since it is smaller than the sum of its proper divisors (1227350492).

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

1010131300 is a wasteful number, since it uses less digits than its factorization.

1010131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1010131300 is about 31782.5628293251. The cubic root of 1010131300 is about 1003.3657589572.

Adding to 1010131300 its reverse (31310101), we get a palindrome (1041441401).

The spelling of 1010131300 in words is "one billion, ten million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 103 202 206 404 412 505 515 971 1010 1030 1942 2020 2060 2525 2575 3884 4855 5050 5150 9710 10100 10300 10403 19420 20806 24275 41612 48550 52015 97100 98071 100013 104030 196142 200026 208060 260075 392284 400052 490355 500065 520150 980710 1000130 1040300 1961420 2000260 2451775 2500325 4903550 5000650 9807100 10001300 10101313 20202626 40405252 50506565 101013130 202026260 252532825 505065650 1010131300