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11000001132 = 22321971922367
BaseRepresentation
bin10100011111010011…
…01011001001101100
31001101121102221210100
422033221223021230
5140012000014012
65015304111100
7536406316101
oct121751531154
931347387710
1011000001132
11473523972a
12216ba65490
131063c28013
14764cb0aa8
15445a8e8dc
hex28fa6b26c

11000001132 has 72 divisors (see below), whose sum is σ = 29311027200. Its totient is φ = 3468698208.

The previous prime is 11000001127. The next prime is 11000001167. The reversal of 11000001132 is 23110000011.

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

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, 480613 + ... + 502979.

It is an arithmetic number, because the mean of its divisors is an integer number (407097600).

Almost surely, 211000001132 is an apocalyptic number.

11000001132 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 11000001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655513600).

11000001132 is an abundant number, since it is smaller than the sum of its proper divisors (18311026068).

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

11000001132 is a wasteful number, since it uses less digits than its factorization.

11000001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23115 (or 23110 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000001132 its reverse (23110000011), we get a palindrome (34110001143).

The spelling of 11000001132 in words is "eleven billion, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 719 1438 2157 2876 4314 6471 8628 12942 13661 22367 25884 27322 40983 44734 54644 67101 81966 89468 122949 134202 163932 201303 245898 268404 402606 424973 491796 805212 849946 1274919 1699892 2549838 3824757 5099676 7649514 15299028 16081873 32163746 48245619 64327492 96491238 144736857 192982476 289473714 305555587 578947428 611111174 916666761 1222222348 1833333522 2750000283 3666667044 5500000566 11000001132