Search a number
-
+
22200101122221 = 32112374373175523
BaseRepresentation
bin1010000110000110111010…
…01001000011000010101101
32220121022100012212120201200
411003003131021003002231
510402211301341402341
6115114330300400113
74450622126011641
oct503033511030255
986538305776650
1022200101122221
11708a012367700
1225a6640b46039
13c505caab17b9
1456a6c23d2c21
1528772010edb6
hex1430dd2430ad

22200101122221 has 144 divisors (see below), whose sum is σ = 37549096673088. Its totient is φ = 12611297825280.

The previous prime is 22200101122159. The next prime is 22200101122261. The reversal of 22200101122221 is 12222110100222.

It is a happy number.

22200101122221 is a `hidden beast` number, since 2 + 220 + 0 + 101 + 122 + 221 = 666.

It is not a de Polignac number, because 22200101122221 - 211 = 22200101120173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22200101122194 and 22200101122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200101122261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126391966 + ... + 126567488.

Almost surely, 222200101122221 is an apocalyptic number.

It is an amenable number.

22200101122221 is a deficient number, since it is larger than the sum of its proper divisors (15348995550867).

22200101122221 is a wasteful number, since it uses less digits than its factorization.

22200101122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175704 (or 175690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22200101122221 its reverse (12222110100222), we get a palindrome (34422211222443).

It can be divided in two parts, 22200101 and 122221, that added together give a palindrome (22322322).

The spelling of 22200101122221 in words is "twenty-two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 43 73 99 111 121 129 219 333 363 387 407 473 657 803 1089 1221 1419 1591 2409 2701 3139 3663 4257 4477 4773 5203 7227 8103 8833 9417 13431 14319 15609 17501 24309 26499 28251 29711 34529 40293 46827 52503 79497 89133 103587 116143 157509 175523 192511 267399 310761 326821 348429 379819 526569 577533 980463 1045287 1139457 1277573 1579707 1732599 1930753 2941389 3418371 3832719 5792259 6494351 7547489 11498157 12813179 14053303 17376777 19483053 21238283 22642467 38439537 42159909 58449159 63714849 67927401 71437861 83022379 115318611 126479727 140944969 191144547 214313583 249067137 279257093 422834907 474087623 550966697 642940749 747201411 785816471 837771279 913246169 1268504721 1422262869 1550394659 1652900091 2357449413 2513313837 2739738507 3071828023 4266788607 4651183977 4958700273 5214963853 6060633667 7072348239 8219215521 9215484069 13953551931 15644891559 18181901001 20385767789 27646452207 33790108253 46934674677 54545703003 57364602383 61157303367 66666970337 101370324759 172093807149 183471910101 200000911011 224243445679 304110974277 516281421447 600002733033 672730337037 2018191011111 2466677902469 7400033707407 22200101122221