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132110001232 = 241124115710601
BaseRepresentation
bin111101100001001011…
…1101010010001010000
3110121222222021102011121
41323002113222101100
54131030130014412
6140405051452024
712354544324306
oct1730227522120
9417888242147
10132110001232
1151033719300
122172b457014
13c5c5084981
1465737da276
153683204107
hex1ec25ea450

132110001232 has 120 divisors (see below), whose sum is σ = 290073137256. Its totient is φ = 58206720000.

The previous prime is 132110001227. The next prime is 132110001269. The reversal of 132110001232 is 232100011231.

It can be written as a sum of positive squares in 4 ways, for example, as 5277150736 + 126832850496 = 72644^2 + 356136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12456732 + ... + 12467332.

Almost surely, 2132110001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132110001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145036568628).

132110001232 is an abundant number, since it is smaller than the sum of its proper divisors (157963136024).

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

132110001232 is a wasteful number, since it uses less digits than its factorization.

132110001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132110001232 its reverse (232100011231), we get a palindrome (364210012463).

Subtracting 132110001232 from its reverse (232100011231), we obtain a palindrome (99990009999).

The spelling of 132110001232 in words is "one hundred thirty-two billion, one hundred ten million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 157 164 176 242 314 328 451 484 628 656 902 968 1256 1727 1804 1936 2512 3454 3608 4961 6437 6908 7216 9922 10601 12874 13816 18997 19844 21202 25748 27632 37994 39688 42404 51496 70807 75988 79376 84808 102992 116611 141614 151976 169616 233222 283228 303952 434641 466444 566456 778877 869282 932888 1132912 1282721 1557754 1664357 1738564 1865776 2565442 3115508 3328714 3477128 4781051 5130884 6231016 6657428 6954256 9562102 10261768 12462032 13314856 18307927 19124204 20523536 26629712 36615854 38248408 52591561 68238637 73231708 76496816 105183122 136477274 146463416 201387197 210366244 272954548 292926832 402774394 420732488 545909096 750625007 805548788 841464976 1091818192 1501250014 1611097576 3002500028 3222195152 6005000056 8256875077 12010000112 16513750154 33027500308 66055000616 132110001232