Search a number
-
+
2212202122221 = 3713611031996481
BaseRepresentation
bin100000001100010001100…
…001011000101111101101
321211111002011120120101010
4200030101201120233231
5242221042220402341
64412134400535433
7315553300532310
oct40142141305755
97744064516333
102212202122221
1178320a476013
122b88a6021579
131307c08662c0
14790dd364977
153c8277ea716
hex20311858bed

2212202122221 has 128 divisors (see below), whose sum is σ = 3744915865600. Its totient is φ = 1130717491200.

The previous prime is 2212202122219. The next prime is 2212202122237. The reversal of 2212202122221 is 1222212022122.

It is not a de Polignac number, because 2212202122221 - 21 = 2212202122219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212202122201) 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, 341333301 + ... + 341339781.

It is an arithmetic number, because the mean of its divisors is an integer number (29257155200).

Almost surely, 22212202122221 is an apocalyptic number.

2212202122221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212202122221 is a deficient number, since it is larger than the sum of its proper divisors (1532713743379).

2212202122221 is a wasteful number, since it uses less digits than its factorization.

2212202122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2212202122221 its reverse (1222212022122), we get a palindrome (3434414144343).

The spelling of 2212202122221 in words is "two trillion, two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 61 91 103 183 199 273 309 427 597 721 793 1281 1339 1393 2163 2379 2587 4017 4179 5551 6283 6481 7761 9373 12139 16653 18109 18849 19443 20497 28119 36417 43981 45367 54327 61491 81679 84253 84973 131943 136101 143479 157807 245037 252759 254919 266461 395341 430437 473421 571753 589771 667543 799383 1104649 1186023 1250317 1289719 1715259 1769313 1865227 2002629 2767387 3313947 3750951 3869157 4672801 5139433 5595681 8302161 8678059 8752219 9028033 14018403 15418299 16254121 16766347 26034177 26256657 27084099 35976031 40720123 48762363 50299041 60746413 78672859 107928093 113778847 117364429 122160369 132841057 182239239 236018577 285040861 341336541 352093287 398523171 529361599 550710013 855122583 929887399 1022747167 1588084797 1652130039 1726933741 2789662197 3068241501 3705531193 5180801223 7159230169 8103304477 11116593579 12088536187 21477690507 24309913431 36265608561 56723131339 105342958201 170169394017 316028874603 737400707407 2212202122221