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11012132010 = 235112910111393
BaseRepresentation
bin10100100000101111…
…11100110010101010
31001102110021021020010
422100113330302222
5140023101211020
65020420112350
7536614402065
oct122027746252
931373237203
1011012132010
114741074850
122173b356b6
1310665b4759
1476674b8dc
15446b88de0
hex2905fccaa

11012132010 has 128 divisors (see below), whose sum is σ = 30123912960. Its totient is φ = 2551808000.

The previous prime is 11012131997. The next prime is 11012132017. The reversal of 11012132010 is 1023121011.

11012132010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11012132017) 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 63 ways as a sum of consecutive naturals, for example, 960874 + ... + 972266.

It is an arithmetic number, because the mean of its divisors is an integer number (235343070).

Almost surely, 211012132010 is an apocalyptic number.

11012132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061956480).

11012132010 is an abundant number, since it is smaller than the sum of its proper divisors (19111780950).

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

11012132010 is a wasteful number, since it uses less digits than its factorization.

11012132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11012132010 its reverse (1023121011), we get a palindrome (12035253021).

The spelling of 11012132010 in words is "eleven billion, twelve million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 101 110 145 165 174 202 290 303 319 330 435 505 606 638 870 957 1010 1111 1515 1595 1914 2222 2929 3030 3190 3333 4785 5555 5858 6666 8787 9570 11110 11393 14645 16665 17574 22786 29290 32219 33330 34179 43935 56965 64438 68358 87870 96657 113930 125323 161095 170895 193314 250646 322190 330397 341790 375969 483285 626615 660794 751938 966570 991191 1150693 1253230 1651985 1879845 1982382 2301386 3303970 3452079 3634367 3759690 4955955 5753465 6904158 7268734 9911910 10903101 11506930 12657623 17260395 18171835 21806202 25315246 33370097 34520790 36343670 37972869 54515505 63288115 66740194 75945738 100110291 109031010 126576230 166850485 189864345 200220582 333700970 367071067 379728690 500551455 734142134 1001102910 1101213201 1835355335 2202426402 3670710670 5506066005 11012132010