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10111011001221 = 31317477112493659
BaseRepresentation
bin1001001100100010011100…
…1110000001001110000101
31022210121021202000102011010
42103020213032001032011
52311124322304014341
633300533452032433
72062332164315214
oct223104716011605
938717252012133
1010111011001221
113249068131329
1211736b9162719
13584605c44ab0
1426d5386c507b
15128025b91716
hex93227381385

10111011001221 has 128 divisors (see below), whose sum is σ = 15937689600000. Its totient is φ = 5644758712320.

The previous prime is 10111011001219. The next prime is 10111011001283. The reversal of 10111011001221 is 12210011011101.

It is not a de Polignac number, because 10111011001221 - 21 = 10111011001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111011001197 and 10111011001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011001211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2763324490 + ... + 2763328148.

It is an arithmetic number, because the mean of its divisors is an integer number (124513200000).

Almost surely, 210111011001221 is an apocalyptic number.

It is an amenable number.

10111011001221 is a deficient number, since it is larger than the sum of its proper divisors (5826678598779).

10111011001221 is a wasteful number, since it uses less digits than its factorization.

10111011001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111011001221 its reverse (12210011011101), we get a palindrome (22321022012322).

The spelling of 10111011001221 in words is "ten trillion, one hundred eleven billion, eleven million, one thousand, two hundred twenty-one".

Divisors: 1 3 13 17 39 47 51 71 141 213 221 611 663 799 923 1207 1249 1833 2397 2769 3337 3621 3659 3747 10011 10387 10977 15691 16237 21233 31161 43381 47073 47567 48711 56729 58703 62203 63699 88679 130143 142701 170187 171973 176109 186609 259789 266037 276029 515919 737477 763139 779367 808639 828087 997951 1152827 1507543 2212431 2235649 2289417 2425917 2923541 2993853 3377257 3458481 4167913 4416413 4522629 4570091 6706947 8770623 10131771 12210083 12503739 12973363 13249239 13710273 19598059 36630249 38006033 38920089 54182869 57413369 58794177 59411183 70854521 77691547 114018099 158731079 162548607 172240107 178233549 207571411 212563563 214794277 233074641 324476461 476193237 622714233 644382831 921108773 973429383 1009990111 2698428343 2763326319 2792325601 3029970333 3651502709 4218193993 5516099837 8095285029 8376976803 10954508127 12654581979 15250393667 16548299511 45751181001 47469535217 71709297881 142408605651 198255117671 215127893643 259256692339 594765353013 777770077017 3370337000407 10111011001221