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11003211034350 = 23522915311652171
BaseRepresentation
bin1010000000011110001001…
…1111000010111011101110
31102221220012200210010100120
42200013202133002323232
52420234034011044400
635222445543105410
72213645553421443
oct240074237027356
942856180703316
1011003211034350
113562487859607
1212985b5142266
1361a7a1757192
142a07b5bd39ca
15141343536ca0
hexa01e27c2eee

11003211034350 has 96 divisors (see below), whose sum is σ = 28247382944640. Its totient is φ = 2831158512000.

The previous prime is 11003211034339. The next prime is 11003211034357. The reversal of 11003211034350 is 5343011230011.

11003211034350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11003211034350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003211034357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5833765 + ... + 7485935.

It is an arithmetic number, because the mean of its divisors is an integer number (294243572340).

Almost surely, 211003211034350 is an apocalyptic number.

11003211034350 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 11003211034350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14123691472320).

11003211034350 is an abundant number, since it is smaller than the sum of its proper divisors (17244171910290).

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

11003211034350 is a wasteful number, since it uses less digits than its factorization.

11003211034350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653746 (or 1653741 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11003211034350 its reverse (5343011230011), we get a palindrome (16346222264361).

The spelling of 11003211034350 in words is "eleven trillion, three billion, two hundred eleven million, thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 1531 2175 3062 4350 4593 7655 9186 15310 22965 38275 44399 45930 76550 88798 114825 133197 221995 229650 266394 443990 665985 1109975 1331970 1652171 2219950 3304342 3329925 4956513 6659850 8260855 9913026 16521710 24782565 41304275 47912959 49565130 82608550 95825918 123912825 143738877 239564795 247825650 287477754 479129590 718694385 1197823975 1437388770 2395647950 2529473801 3593471925 5058947602 7186943850 7588421403 12647369005 15176842806 25294738010 37942107015 63236845025 73354740229 75884214030 126473690050 146709480458 189710535075 220064220687 366773701145 379421070150 440128441374 733547402290 1100321103435 1833868505725 2200642206870 3667737011450 5501605517175 11003211034350