Search a number
-
+
1000104012 = 2232713731049
BaseRepresentation
bin111011100111000…
…110000001001100
32120200212112210100
4323213012001030
54022011312022
6243123411100
733532513065
oct7347060114
92520775710
101000104012
11473594a46
1223ab23a90
1312c27562b
1496b7756c
155cc021ac
hex3b9c604c

1000104012 has 72 divisors (see below), whose sum is σ = 2572970400. Its totient is φ = 327479040.

The previous prime is 1000103987. The next prime is 1000104041. The reversal of 1000104012 is 2104010001.

It is a happy number.

It is a super-2 number, since 2×10001040122 = 2000416069636992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000103985 and 1000104003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952864 + ... + 953912.

It is an arithmetic number, because the mean of its divisors is an integer number (35735700).

Almost surely, 21000104012 is an apocalyptic number.

1000104012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286485200).

1000104012 is an abundant number, since it is smaller than the sum of its proper divisors (1572866388).

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

1000104012 is a wasteful number, since it uses less digits than its factorization.

1000104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000104012 is about 31624.4211330421. The cubic root of 1000104012 is about 1000.0346694647.

Adding to 1000104012 its reverse (2104010001), we get a palindrome (3104114013).

The spelling of 1000104012 in words is "one billion, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 373 426 639 746 852 1049 1119 1278 1492 2098 2238 2556 3147 3357 4196 4476 6294 6714 9441 12588 13428 18882 26483 37764 52966 74479 79449 105932 148958 158898 223437 238347 297916 317796 391277 446874 476694 670311 782554 893748 953388 1173831 1340622 1565108 2347662 2681244 3521493 4695324 7042986 14085972 27780667 55561334 83342001 111122668 166684002 250026003 333368004 500052006 1000104012