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11000110200212 = 2274350959330269
BaseRepresentation
bin1010000000010010100110…
…1010010011010110010100
31102221121012121000102120202
42200010221222103112110
52420211211202401322
635221214133320032
72213505661650620
oct240045152232624
942847177012522
1011000110200212
113561136487a71
121297a8a796018
1361a3c91c9593
142a05a0060180
151412111c6292
hexa0129a93594

11000110200212 has 96 divisors (see below), whose sum is σ = 22594864723200. Its totient is φ = 4587749332992.

The previous prime is 11000110200173. The next prime is 11000110200221. The reversal of 11000110200212 is 21200201100011.

It is a junction number, because it is equal to n+sod(n) for n = 11000110200193 and 11000110200202.

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 31 ways as a sum of consecutive naturals, for example, 363396614 + ... + 363426882.

It is an arithmetic number, because the mean of its divisors is an integer number (235363174200).

Almost surely, 211000110200212 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 11000110200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297432361600).

11000110200212 is an abundant number, since it is smaller than the sum of its proper divisors (11594754522988).

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

11000110200212 is a wasteful number, since it uses less digits than its factorization.

11000110200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000110200212 its reverse (21200201100011), we get a palindrome (32200311300223).

The spelling of 11000110200212 in words is "eleven trillion, one hundred ten million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 43 86 172 301 509 593 602 1018 1186 1204 2036 2372 3563 4151 7126 8302 14252 16604 21887 25499 30269 43774 50998 60538 87548 101996 121076 153209 178493 211883 301837 306418 356986 423766 603674 612836 713972 847532 1207348 1301567 2112859 2603134 4225718 5206268 8451436 9110969 12978991 15406921 17949517 18221938 25957982 30813842 35899034 36443876 51915964 61627684 71798068 90852937 107848447 125646619 181705874 215696894 251293238 363411748 431393788 502586476 662497603 771829231 1324995206 1543658462 2649990412 3087316924 4637483221 5402804617 9136304153 9274966442 10805609234 18272608306 18549932884 21611218468 36545216612 63954129071 127908258142 255816516284 392861078579 785722157158 1571444314316 2750027550053 5500055100106 11000110200212