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1010413300 = 225213777241
BaseRepresentation
bin111100001110011…
…010111011110100
32121102021022110211
4330032122323310
54032131211200
6244132355204
734016241241
oct7416327364
92542238424
101010413300
11479396516
12242475b04
13131444bc0
149829c5c8
155da8baba
hex3c39aef4

1010413300 has 36 divisors (see below), whose sum is σ = 2361261196. Its totient is φ = 373075200.

The previous prime is 1010413289. The next prime is 1010413303. The reversal of 1010413300 is 33140101.

It can be written as a sum of positive squares in 6 ways, for example, as 83576164 + 926837136 = 9142^2 + 30444^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010413303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387321 + ... + 389920.

Almost surely, 21010413300 is an apocalyptic number.

1010413300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010413300 is an abundant number, since it is smaller than the sum of its proper divisors (1350847896).

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

1010413300 is a wasteful number, since it uses less digits than its factorization.

1010413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777268 (or 777261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1010413300 is about 31786.9989146506. The cubic root of 1010413300 is about 1003.4591206873.

Adding to 1010413300 its reverse (33140101), we get a palindrome (1043553401).

The spelling of 1010413300 in words is "one billion, ten million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 777241 1554482 3108964 3886205 7772410 10104133 15544820 19431025 20208266 38862050 40416532 50520665 77724100 101041330 202082660 252603325 505206650 1010413300