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11010210210200 = 235273941801407
BaseRepresentation
bin1010000000111000001110…
…1010110010000110011000
31102222120021110222002121202
42200032003222302012120
52420342402303211300
635230004251453332
72214314162426105
oct240160352620630
942876243862552
1011010210210200
11356544969aa63
121299a29157248
1361b348831c56
142a0c7b5b7aac
15141602c3bad5
hexa0383ab2198

11010210210200 has 96 divisors (see below), whose sum is σ = 25977015221760. Its totient is φ = 4339132646400.

The previous prime is 11010210210199. The next prime is 11010210210217. The reversal of 11010210210200 is 201201201011.

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, 13337897 + ... + 14139303.

It is an arithmetic number, because the mean of its divisors is an integer number (270593908560).

Almost surely, 211010210210200 is an apocalyptic number.

11010210210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010210210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988507610880).

11010210210200 is an abundant number, since it is smaller than the sum of its proper divisors (14966805011560).

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

11010210210200 is a wasteful number, since it uses less digits than its factorization.

11010210210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802437 (or 802428 counting only the distinct ones).

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

Adding to 11010210210200 its reverse (201201201011), we get a palindrome (11211411411211).

The spelling of 11010210210200 in words is "eleven trillion, ten billion, two hundred ten million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 941 1460 1825 1882 2920 3650 3764 4705 7300 7528 9410 14600 18820 23525 37640 47050 68693 94100 137386 188200 274772 343465 549544 686930 801407 1373860 1602814 1717325 2747720 3205628 3434650 4007035 6411256 6869300 8014070 13738600 16028140 20035175 32056280 40070350 58502711 80140700 117005422 160281400 234010844 292513555 468021688 585027110 754123987 1170054220 1462567775 1508247974 2340108440 2925135550 3016495948 3770619935 5850271100 6032991896 7541239870 11700542200 15082479740 18853099675 30164959480 37706199350 55051051051 75412398700 110102102102 150824797400 220204204204 275255255255 440408408408 550510510510 1101021021020 1376276276275 2202042042040 2752552552550 5505105105100 11010210210200