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21221355320055 = 3351173773253247
BaseRepresentation
bin1001101001100111110110…
…10110000111001011110111
32210010202000201222021111000
410310303323112013023313
510240142313430220210
6113044542301214343
74320122652655152
oct464637326071367
983122021867430
1021221355320055
116841a20925170
122468a10b613b3
13bac21bcb00a7
14535194a6cc99
1526c0397a8ac0
hex134cfb5872f7

21221355320055 has 128 divisors (see below), whose sum is σ = 41774493450240. Its totient is φ = 10135026478080.

The previous prime is 21221355320047. The next prime is 21221355320063. The reversal of 21221355320055 is 55002355312212.

21221355320055 is a `hidden beast` number, since 2 + 1 + 22 + 13 + 553 + 20 + 0 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (21221355320047) and next prime (21221355320063).

It is not a de Polignac number, because 21221355320055 - 23 = 21221355320047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83670442 + ... + 83923688.

It is an arithmetic number, because the mean of its divisors is an integer number (326363230080).

Almost surely, 221221355320055 is an apocalyptic number.

21221355320055 is a deficient number, since it is larger than the sum of its proper divisors (20553138130185).

21221355320055 is a wasteful number, since it uses less digits than its factorization.

21221355320055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254118 (or 254112 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 21221355320055 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred fifty-five million, three hundred twenty thousand, fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 73 99 135 165 219 297 365 495 657 773 803 1095 1485 1971 2319 2409 3285 3865 4015 6957 7227 8503 9855 11595 12045 20871 21681 25509 34785 36135 42515 56429 76527 104355 108405 127545 169287 229581 253247 282145 382635 507861 620719 759741 846435 1147905 1266235 1523583 1862157 2279223 2539305 2785717 3103595 3798705 5586471 6837669 7617915 8357151 9310785 11396115 13928585 16759413 18487031 25071453 27932355 34188345 41785755 55461093 75214359 83797065 92435155 125357265 166383279 195759931 203357341 277305465 376071795 499149837 587279793 610072023 831916395 978799655 1016786705 1761839379 1830216069 2153359241 2495749185 2936398965 3050360115 5285518137 5490648207 6460077723 8809196895 9151080345 10766796205 14290474963 19380233169 26427590685 27453241035 32300388615 42871424889 58140699507 71452374815 96901165845 128614274667 157195224593 214357124445 290703497535 385842824001 471585673779 643071373335 785976122965 1414757021337 1929214120005 2357928368895 4244271064011 7073785106685 21221355320055