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11000010010010 = 25789242147123
BaseRepresentation
bin1010000000010010001110…
…1100000110110110011010
31102221120221121111020110112
42200010203230012312122
52420211010030310020
635221200154044322
72213503334234120
oct240044354066632
942846847436415
1011000010010010
11356109497664a
121297a611196a2
1361a3b151a338
142a0590a1d910
151412074d52c5
hexa0123b06d9a

11000010010010 has 96 divisors (see below), whose sum is σ = 22940549799552. Its totient is φ = 3720119800320.

The previous prime is 11000010010007. The next prime is 11000010010019. The reversal of 11000010010010 is 1001001000011.

It is a Harshad number since it is a multiple of its sum of digits (5).

11000010010010 is a modest number, since divided by 10010010 gives 11000 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000010009976 and 11000010010003.

It is not an unprimeable number, because it can be changed into a prime (11000010010019) 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, 233408309 + ... + 233455431.

It is an arithmetic number, because the mean of its divisors is an integer number (238964060412).

Almost surely, 211000010010010 is an apocalyptic number.

11000010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000010010010 is an abundant number, since it is smaller than the sum of its proper divisors (11940539789542).

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

11000010010010 is an equidigital number, since it uses as much as digits as its factorization.

11000010010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47736 (or 47647 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000010010010 its reverse (1001001000011), we get a palindrome (12001011010021).

Subtracting from 11000010010010 its reverse (1001001000011), we obtain a palindrome (9999009009999).

The spelling of 11000010010010 in words is "eleven trillion, ten million, ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 89 178 421 445 623 842 890 1246 2105 2947 3115 4210 5894 6230 7921 14735 15842 29470 37469 39605 47123 55447 74938 79210 94246 110894 187345 235615 262283 277235 329861 374690 471230 524566 554470 659722 1311415 1649305 2622830 3298610 3334741 4193947 6669482 8387894 16673705 19838783 20969735 23343187 29357629 33347410 39677566 41939470 46686374 58715258 99193915 116715935 138871481 146788145 198387830 233431870 277742962 293576290 373261283 694357405 746522566 1388714810 1765651687 1866306415 2612828981 3531303374 3732612830 5225657962 8828258435 12359561809 13064144905 17656516870 24719123618 26128289810 61797809045 123595618090 157143000143 314286000286 785715000715 1100001001001 1571430001430 2200002002002 5500005005005 11000010010010