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1001000104 = 2313191134483
BaseRepresentation
bin111011101010100…
…000110010101000
32120202120001222221
4323222200302220
54022224000404
6243154523424
733543234436
oct7352406250
92522501887
101001000104
11474047215
1223b296574
1312c4ca470
1496d2bd56
155cd2c954
hex3baa0ca8

1001000104 has 64 divisors (see below), whose sum is σ = 2146939200. Its totient is φ = 433714176.

The previous prime is 1001000051. The next prime is 1001000107. The reversal of 1001000104 is 4010001001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1001000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221047 + ... + 225529.

It is an arithmetic number, because the mean of its divisors is an integer number (33545925).

Almost surely, 21001000104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073469600).

1001000104 is an abundant number, since it is smaller than the sum of its proper divisors (1145939096).

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

1001000104 is a wasteful number, since it uses less digits than its factorization.

1001000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1001000104 is about 31638.5856826755. The cubic root of 1001000104 is about 1000.3332569275. Note that the first 3 decimals are identical.

Adding to 1001000104 its reverse (4010001001), we get a palindrome (5011001105).

The spelling of 1001000104 in words is "one billion, one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 19 26 38 52 76 104 113 152 226 247 452 494 904 988 1469 1976 2147 2938 4294 4483 5876 8588 8966 11752 17176 17932 27911 35864 55822 58279 85177 111644 116558 170354 223288 233116 340708 466232 506579 681416 1013158 1107301 2026316 2214602 4052632 4429204 6585527 8858408 9625001 13171054 19250002 26342108 38500004 52684216 77000008 125125013 250250026 500500052 1001000104