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2001103000 = 235313592609
BaseRepresentation
bin111011101000110…
…0110100010011000
312011110102120020221
41313101212202120
513044240244000
6530322325424
7100406044351
oct16721464230
95143376227
102001103000
11937630336
1247a1b9874
1325b772420
1414daa4d28
15baa2e61a
hex77466898

2001103000 has 128 divisors (see below), whose sum is σ = 5130216000. Its totient is φ = 726067200.

The previous prime is 2001102913. The next prime is 2001103007. The reversal of 2001103000 is 3011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001103007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765696 + ... + 768304.

Almost surely, 22001103000 is an apocalyptic number.

2001103000 is a gapful number since it is divisible by the number (20) 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 2001103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565108000).

2001103000 is an abundant number, since it is smaller than the sum of its proper divisors (3129113000).

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

2001103000 is a wasteful number, since it uses less digits than its factorization.

2001103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2001103000 is about 44733.6897650976. The cubic root of 2001103000 is about 1260.1526228156.

Adding to 2001103000 its reverse (3011002), we get a palindrome (2004114002).

The spelling of 2001103000 in words is "two billion, one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 125 130 200 236 250 260 295 325 472 500 520 590 650 767 1000 1180 1300 1475 1534 1625 2360 2600 2609 2950 3068 3250 3835 5218 5900 6136 6500 7375 7670 10436 11800 13000 13045 14750 15340 19175 20872 26090 29500 30680 33917 38350 52180 59000 65225 67834 76700 95875 104360 130450 135668 153400 153931 169585 191750 260900 271336 307862 326125 339170 383500 521800 615724 652250 678340 767000 769655 847925 1231448 1304500 1356680 1539310 1695850 2001103 2609000 3078620 3391700 3848275 4002206 4239625 6157240 6783400 7696550 8004412 8479250 10005515 15393100 16008824 16958500 19241375 20011030 30786200 33917000 38482750 40022060 50027575 76965500 80044120 100055150 153931000 200110300 250137875 400220600 500275750 1000551500 2001103000