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2142301122 = 23513226083
BaseRepresentation
bin111111110110000…
…1110101111000010
312112022010011200000
41333230032233002
513341412113442
6552324540430
7104042154603
oct17754165702
95468104600
102142301122
119aa3005a5
124b9551716
13281aabc00
1416473bdaa
15c8120d4c
hex7fb0ebc2

2142301122 has 72 divisors (see below), whose sum is σ = 5212522224. Its totient is φ = 659144304.

The previous prime is 2142301043. The next prime is 2142301171. The reversal of 2142301122 is 2211032412.

It is a happy number.

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 = 2142301095 and 2142301104.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 69093 + ... + 95175.

It is an arithmetic number, because the mean of its divisors is an integer number (72396142).

Almost surely, 22142301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606261112).

2142301122 is an abundant number, since it is smaller than the sum of its proper divisors (3070221102).

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

2142301122 is a wasteful number, since it uses less digits than its factorization.

2142301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26126 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142301122 is about 46284.9988873285. The cubic root of 2142301122 is about 1289.1204713182.

Adding to 2142301122 its reverse (2211032412), we get a palindrome (4353333534).

The spelling of 2142301122 in words is "two billion, one hundred forty-two million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1014 1053 1521 2106 3042 3159 4563 6318 9126 13689 26083 27378 41067 52166 78249 82134 156498 234747 339079 469494 678158 704241 1017237 1408482 2034474 2112723 3051711 4225446 4408027 6103422 6338169 8816054 9155133 12676338 13224081 18310266 26448162 27465399 39672243 54930798 79344486 82396197 119016729 164792394 238033458 357050187 714100374 1071150561 2142301122