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12211022102010 = 23519731931520537
BaseRepresentation
bin1011000110110001100110…
…1000100111110111111010
31121020100210010101120210020
42301230121220213313322
53100031133124231020
641545355514031310
72400134340204504
oct261543150476772
947210703346706
1012211022102010
1139887356aa416
1214526b2718536
136a76573a44c4
14303033884d74
15162983d4cc40
hexb1b19a27dfa

12211022102010 has 128 divisors (see below), whose sum is σ = 31433534680320. Its totient is φ = 3026864111616.

The previous prime is 12211022102009. The next prime is 12211022102093. The reversal of 12211022102010 is 1020122011221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7270462 + ... + 8790998.

It is an arithmetic number, because the mean of its divisors is an integer number (245574489690).

Almost surely, 212211022102010 is an apocalyptic number.

12211022102010 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 12211022102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716767340160).

12211022102010 is an abundant number, since it is smaller than the sum of its proper divisors (19222512578310).

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

12211022102010 is a wasteful number, since it uses less digits than its factorization.

12211022102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520832.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211022102010 its reverse (1020122011221), we get a palindrome (13231144113231).

The spelling of 12211022102010 in words is "twelve trillion, two hundred eleven billion, twenty-two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 193 219 285 365 386 438 570 579 730 965 1095 1158 1387 1930 2190 2774 2895 3667 4161 5790 6935 7334 8322 11001 13870 14089 18335 20805 22002 28178 36670 41610 42267 55005 70445 84534 110010 140890 211335 267691 422670 535382 803073 1338455 1520537 1606146 2676910 3041074 4015365 4561611 7602685 8030730 9123222 15205370 22808055 28890203 45616110 57780406 86670609 110999201 144451015 173341218 221998402 288902030 293463641 332997603 433353045 554996005 586927282 665995206 866706090 880390923 1109992010 1467318205 1664988015 1760781846 2108984819 2934636410 3329976030 4217969638 4401954615 5575809179 6326954457 8803909230 10544924095 11151618358 12653908914 16727427537 21089848190 21422845793 27879045895 31634772285 33454855074 42845691586 55758091790 63269544570 64268537379 83637137685 107114228965 128537074758 167274275370 214228457930 321342686895 407034070067 642685373790 814068140134 1221102210201 2035170350335 2442204420402 4070340700670 6105511051005 12211022102010