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1001340100 = 225210013401
BaseRepresentation
bin111011101011110…
…011110011000100
32120210012100101101
4323223303303010
54022320340400
6243210105444
733546151615
oct7353636304
92523170341
101001340100
11474259702
1223b41b284
1312c5b9147
1496db9c0c
155cd9856a
hex3baf3cc4

1001340100 has 18 divisors (see below), whose sum is σ = 2172908234. Its totient is φ = 400536000.

The previous prime is 1001340091. The next prime is 1001340113. The reversal of 1001340100 is 10431001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 181548676 + 819791424 = 13474^2 + 28632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5006601 + ... + 5006800.

Almost surely, 21001340100 is an apocalyptic number.

1001340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001340100 is an abundant number, since it is smaller than the sum of its proper divisors (1171568134).

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

1001340100 is a wasteful number, since it uses less digits than its factorization.

1001340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013415 (or 10013408 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1001340100 is about 31643.9583491067. The cubic root of 1001340100 is about 1000.4465006075.

Adding to 1001340100 its reverse (10431001), we get a palindrome (1011771101).

Subtracting from 1001340100 its reverse (10431001), we obtain a palindrome (990909099).

The spelling of 1001340100 in words is "one billion, one million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10013401 20026802 40053604 50067005 100134010 200268020 250335025 500670050 1001340100