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11210010000210 = 2325728273073703
BaseRepresentation
bin1010001100100000100010…
…1010011111101101010010
31110200122222212112001122100
42203020020222133231102
52432131100030001320
635501450230421230
72234616332552400
oct243101052375522
943618885461570
1011210010000210
11363215844545a
1213106a9801816
1363413a522378
142aa7d2c60470
151468e8814790
hexa3208a9fb52

11210010000210 has 144 divisors (see below), whose sum is σ = 33945568952256. Its totient is φ = 2559188874816.

The previous prime is 11210010000199. The next prime is 11210010000221. The reversal of 11210010000210 is 1200001001211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11210010000199) and next prime (11210010000221).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11210010000192 and 11210010000201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2110219 + ... + 5183921.

It is an arithmetic number, because the mean of its divisors is an integer number (235733117724).

Almost surely, 211210010000210 is an apocalyptic number.

11210010000210 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 11210010000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972784476128).

11210010000210 is an abundant number, since it is smaller than the sum of its proper divisors (22735558952046).

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

11210010000210 is a wasteful number, since it uses less digits than its factorization.

11210010000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074557 (or 3074547 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210010000210 its reverse (1200001001211), we get a palindrome (12410011001421).

The spelling of 11210010000210 in words is "eleven trillion, two hundred ten billion, ten million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 827 882 1470 1654 2205 2481 4135 4410 4962 5789 7443 8270 11578 12405 14886 17367 24810 28945 34734 37215 40523 52101 57890 74430 81046 86835 104202 121569 173670 202615 243138 260505 364707 405230 521010 607845 729414 1215690 1823535 3073703 3647070 6147406 9221109 15368515 18442218 21515921 27663327 30737030 43031842 46105545 55326654 64547763 92211090 107579605 129095526 138316635 150611447 193643289 215159210 276633270 301222894 322738815 387286578 451834341 645477630 753057235 903668682 968216445 1355503023 1506114470 1936432890 2259171705 2541952381 2711006046 4518343410 5083904762 6777515115 7625857143 12709761905 13555030230 15251714286 17793666667 22877571429 25419523810 35587333334 38129285715 45755142858 53381000001 76258571430 88968333335 106762000002 114387857145 124555666669 160143000003 177936666670 228775714290 249111333338 266905000005 320286000006 373667000007 533810000010 622778333345 747334000014 800715000015 1121001000021 1245556666690 1601430000030 1868335000035 2242002000042 3736670000070 5605005000105 11210010000210