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11001001000 = 2353113132261
BaseRepresentation
bin10100011111011010…
…11111010000101000
31001101200022202100111
422033231133100220
5140012224013000
65015341344104
7536420652133
oct121755372050
931350282314
1011001001000
114735861970
122170268034
1310641b8162
1476509121a
15445bdacba
hex28fb5f428

11001001000 has 128 divisors (see below), whose sum is σ = 28989342720. Its totient is φ = 3871200000.

The previous prime is 11001000953. The next prime is 11001001003. The reversal of 11001001000 is 10010011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (11001001003) 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, 324870 + ... + 357130.

It is an arithmetic number, because the mean of its divisors is an integer number (226479240).

Almost surely, 211001001000 is an apocalyptic number.

11001001000 is a gapful number since it is divisible by the number (10) 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 11001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494671360).

11001001000 is an abundant number, since it is smaller than the sum of its proper divisors (17988341720).

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

11001001000 is a wasteful number, since it uses less digits than its factorization.

11001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32324 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11001001000 its reverse (10010011), we get a palindrome (11011011011).

It can be divided in two parts, 1 and 1001001000, that added together give a palindrome (1001001001).

The spelling of 11001001000 in words is "eleven billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 32261 34100 42625 64522 68200 85250 129044 161305 170500 258088 322610 341000 354871 645220 709742 806525 1000091 1290440 1419484 1613050 1774355 2000182 2838968 3226100 3548710 4000364 4032625 5000455 6452200 7097420 8000728 8065250 8871775 10000910 11001001 14194840 16130500 17743550 20001820 22002002 25002275 32261000 35487100 40003640 44004004 44358875 50004550 55005005 70974200 88008008 88717750 100009100 110010010 125011375 177435500 200018200 220020020 250022750 275025025 354871000 440040040 500045500 550050050 1000091000 1100100100 1375125125 2200200200 2750250250 5500500500 11001001000