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1001413100 = 225223435397
BaseRepresentation
bin111011101100000…
…101100111101100
32120210100001112002
4323230011213230
54022330204400
6243211431432
733546604502
oct7354054754
92523301462
101001413100
114742a9536
1223b455578
1312c61343c
1496dd8672
155cdaeed5
hex3bb059ec

1001413100 has 36 divisors (see below), whose sum is σ = 2267552784. Its totient is φ = 383148480.

The previous prime is 1001413099. The next prime is 1001413121. The reversal of 1001413100 is 13141001.

It is a super-2 number, since 2×10014131002 = 2005656393703220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215399 + ... + 219998.

Almost surely, 21001413100 is an apocalyptic number.

1001413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001413100 is an abundant number, since it is smaller than the sum of its proper divisors (1266139684).

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

1001413100 is a wasteful number, since it uses less digits than its factorization.

1001413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435434 (or 435427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1001413100 is about 31645.1117868147. Note that the first 3 decimals coincide. The cubic root of 1001413100 is about 1000.4708116350.

Adding to 1001413100 its reverse (13141001), we get a palindrome (1014554101).

The spelling of 1001413100 in words is "one billion, one million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 435397 870794 1741588 2176985 4353970 8707940 10014131 10884925 20028262 21769850 40056524 43539700 50070655 100141310 200282620 250353275 500706550 1001413100