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1132001000 = 235313194583
BaseRepresentation
bin100001101111000…
…1111011011101000
32220220001121102222
41003132033123220
54304243013000
6304154413212
740023564314
oct10336173350
92826047388
101132001000
11530a92119
12277131208
131506a66a0
14aa4acb44
15695a7a85
hex4378f6e8

1132001000 has 128 divisors (see below), whose sum is σ = 3003436800. Its totient is φ = 395884800.

The previous prime is 1132000957. The next prime is 1132001009. The reversal of 1132001000 is 1002311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1132001009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244709 + ... + 249291.

It is an arithmetic number, because the mean of its divisors is an integer number (23464350).

Almost surely, 21132001000 is an apocalyptic number.

1132001000 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 1132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501718400).

1132001000 is an abundant number, since it is smaller than the sum of its proper divisors (1871435800).

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

1132001000 is a wasteful number, since it uses less digits than its factorization.

1132001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1132001000 is about 33645.2225434756. Note that the first 3 decimals coincide. The cubic root of 1132001000 is about 1042.1948837464.

Adding to 1132001000 its reverse (1002311), we get a palindrome (1133003311).

The spelling of 1132001000 in words is "one billion, one hundred thirty-two million, one thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4583 4750 4940 6175 6500 9166 9500 9880 12350 13000 18332 19000 22915 24700 30875 36664 45830 49400 59579 61750 87077 91660 114575 119158 123500 174154 183320 229150 238316 247000 297895 348308 435385 458300 476632 572875 595790 696616 870770 916600 1132001 1145750 1191580 1489475 1741540 2176925 2264002 2291500 2383160 2978950 3483080 4353850 4528004 4583000 5660005 5957900 7447375 8707700 9056008 10884625 11320010 11915800 14894750 17415400 21769250 22640020 28300025 29789500 43538500 45280040 56600050 59579000 87077000 113200100 141500125 226400200 283000250 566000500 1132001000