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1001342120 = 23527419133
BaseRepresentation
bin111011101011110…
…100010010101000
32120210012110011012
4323223310102220
54022320421440
6243210123052
733546160532
oct7353642250
92523173135
101001342120
11474260179
1223b420488
1312c5ba03c
1496dba852
155cd98e65
hex3baf44a8

1001342120 has 32 divisors (see below), whose sum is σ = 2254088520. Its totient is φ = 400346880.

The previous prime is 1001342119. The next prime is 1001342149. The reversal of 1001342120 is 212431001.

It can be written as a sum of positive squares in 4 ways, for example, as 843437764 + 157904356 = 29042^2 + 12566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001342095 and 1001342104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105074 + ... + 114206.

Almost surely, 21001342120 is an apocalyptic number.

1001342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001342120 is an abundant number, since it is smaller than the sum of its proper divisors (1252746400).

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

1001342120 is a wasteful number, since it uses less digits than its factorization.

1001342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1001342120 is about 31643.9902667157. The cubic root of 1001342120 is about 1000.4471733395.

Adding to 1001342120 its reverse (212431001), we get a palindrome (1213773121).

The spelling of 1001342120 in words is "one billion, one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2741 5482 9133 10964 13705 18266 21928 27410 36532 45665 54820 73064 91330 109640 182660 365320 25033553 50067106 100134212 125167765 200268424 250335530 500671060 1001342120