Search a number
-
+
2202112021122 = 234138389141551
BaseRepresentation
bin100000000010111000000…
…110101101001010000010
321210112000222021022210000
4200002320012231022002
5242034411134133442
64403345235020430
7315045250224036
oct40027006551202
97715028238700
102202112021122
11779a01910792
122b694aa3a716
1312c8732bcb90
147882326a1c6
153c436a90d4c
hex200b81ad282

2202112021122 has 160 divisors (see below), whose sum is σ = 5438416515840. Its totient is φ = 661883270400.

The previous prime is 2202112021117. The next prime is 2202112021147. The reversal of 2202112021122 is 2211202112022.

It is a happy number.

2202112021122 is a `hidden beast` number, since 220 + 211 + 2 + 0 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2202112021095 and 2202112021104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15486247 + ... + 15627797.

It is an arithmetic number, because the mean of its divisors is an integer number (33990103224).

Almost surely, 22202112021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202112021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719208257920).

2202112021122 is an abundant number, since it is smaller than the sum of its proper divisors (3236304494718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2202112021122 is a wasteful number, since it uses less digits than its factorization.

2202112021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141750 (or 141741 counting only the distinct ones).

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

Adding to 2202112021122 its reverse (2211202112022), we get a palindrome (4413314133144).

The spelling of 2202112021122 in words is "two trillion, two hundred two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 83 89 117 162 166 178 234 249 267 351 498 534 702 747 801 1053 1079 1157 1494 1602 2106 2158 2241 2314 2403 3237 3471 4482 4806 6474 6723 6942 7209 7387 9711 10413 13446 14418 14774 19422 20826 22161 29133 31239 44322 58266 62478 66483 87399 93717 96031 132966 141551 174798 187434 192062 199449 283102 288093 398898 424653 576186 598347 849306 864279 1196694 1273959 1728558 1840163 2547918 2592837 3680326 3821877 5185674 5520489 7643754 7778511 11040978 11465631 11748733 12598039 15557022 16561467 22931262 23497466 25196078 33122934 35246199 37794117 49684401 70492398 75588234 99368802 105738597 113382351 149053203 152733529 163774507 211477194 226764702 298106406 305467058 317215791 327549014 340147053 458200587 491323521 634431582 680294106 916401174 951647373 982647042 1020441159 1045637237 1374601761 1473970563 1903294746 2040882318 2091274474 2749203522 2947941126 3136911711 4123805283 4421911689 6273823422 8247610566 8843823378 9410735133 12371415849 13265735067 13593284081 18821470266 24742831698 26531470134 27186568162 28232205399 40779852243 56464410798 81559704486 84696616197 122339556729 169393232394 244679113458 367018670187 734037340374 1101056010561 2202112021122