Search a number
-
+
101011221220222 = 21729672186112263
BaseRepresentation
bin10110111101111010000001…
…111101011000101101111110
3111020122120121200110000002201
4112331322001331120231332
5101214431440113021342
6554455525302542114
730163551140532115
oct2675720175305576
9436576550400081
10101011221220222
112a204689026995
12b3b479973793a
134449418113061
141ad2d7d672c7c
15ba2801221db7
hex5bde81f58b7e

101011221220222 has 96 divisors (see below), whose sum is σ = 168579927069120. Its totient is φ = 45182578129920.

The previous prime is 101011221220219. The next prime is 101011221220249. The reversal of 101011221220222 is 222022122110101.

It is a super-3 number, since 3×1010112212202223 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011221220222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8237066463 + ... + 8237078725.

It is an arithmetic number, because the mean of its divisors is an integer number (1756040906970).

Almost surely, 2101011221220222 is an apocalyptic number.

101011221220222 is a deficient number, since it is larger than the sum of its proper divisors (67568705848898).

101011221220222 is a wasteful number, since it uses less digits than its factorization.

101011221220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101011221220222 its reverse (222022122110101), we get a palindrome (323033343330323).

The spelling of 101011221220222 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 17 29 34 58 67 134 493 986 1139 1861 1943 2278 3722 3886 4489 8978 12263 24526 31637 33031 53969 63274 66062 76313 107938 124687 130181 152626 208471 249374 260362 355627 416942 711254 821621 917473 1643242 1834946 2119679 2213077 3615923 4239358 4426154 6045659 7231846 8354029 12091318 13967557 16708058 22821443 23827009 27935114 45642886 47654018 55048607 61470691 110097214 122941382 142018493 242266841 284036986 387964531 405059153 484533682 661821847 775929062 810118306 935826319 1323643694 1529036681 1596409603 1871652638 3058073362 3192819206 4118536297 8237072594 11250971399 22501942798 25993623577 27138963251 44342063749 51987247154 54277926502 88684127498 102445457627 204890915254 753815083733 1507630167466 1741572779659 2970918271183 3483145559318 5941836542366 50505610610111 101011221220222