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11010000132 = 2232839737987
BaseRepresentation
bin10100100000011111…
…10100010100000100
31001102022020221211200
422100033310110010
5140022030001012
65020302302500
7536560312515
oct122017642404
931368227750
1011010000132
11473a94906a
122173287a30
1310660192a1
14766354a0c
154468b73dc
hex2903f4504

11010000132 has 72 divisors (see below), whose sum is σ = 28457266656. Its totient is φ = 3588309504.

The previous prime is 11010000121. The next prime is 11010000143. The reversal of 11010000132 is 23100001011.

It is an interprime number because it is at equal distance from previous prime (11010000121) and next prime (11010000143).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270843 + ... + 308829.

Almost surely, 211010000132 is an apocalyptic number.

11010000132 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 11010000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228633328).

11010000132 is an abundant number, since it is smaller than the sum of its proper divisors (17447266524).

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

11010000132 is a wasteful number, since it uses less digits than its factorization.

11010000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38177 (or 38172 counting only the distinct ones).

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

Adding to 11010000132 its reverse (23100001011), we get a palindrome (34110001143).

The spelling of 11010000132 in words is "eleven billion, ten million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 83 97 166 194 249 291 332 388 498 582 747 873 996 1164 1494 1746 2988 3492 8051 16102 24153 32204 37987 48306 72459 75974 96612 113961 144918 151948 227922 289836 341883 455844 683766 1367532 3152921 3684739 6305842 7369478 9458763 11054217 12611684 14738956 18917526 22108434 28376289 33162651 37835052 44216868 56752578 66325302 113505156 132650604 305833337 611666674 917500011 1223333348 1835000022 2752500033 3670000044 5505000066 11010000132