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1001101300 = 225210011013
BaseRepresentation
bin111011101010111…
…001011111110100
32120202202012210221
4323222321133310
54022240220200
6243201024124
733544135453
oct7352713764
92522665727
101001101300
11474106251
1223b325044
1312c534544
1496d56b9a
155cd4c91a
hex3bab97f4

1001101300 has 18 divisors (see below), whose sum is σ = 2172390038. Its totient is φ = 400440480.

The previous prime is 1001101291. The next prime is 1001101303. The reversal of 1001101300 is 31011001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 326452624 + 674648676 = 18068^2 + 25974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5005407 + ... + 5005606.

Almost surely, 21001101300 is an apocalyptic number.

1001101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101300 is an abundant number, since it is smaller than the sum of its proper divisors (1171288738).

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

1001101300 is a wasteful number, since it uses less digits than its factorization.

1001101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011027 (or 10011020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1001101300 is about 31640.1848920009. The cubic root of 1001101300 is about 1000.3669653200.

Adding to 1001101300 its reverse (31011001), we get a palindrome (1032112301).

The spelling of 1001101300 in words is "one billion, one million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10011013 20022026 40044052 50055065 100110130 200220260 250275325 500550650 1001101300