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2302300122342 = 2311314728878293
BaseRepresentation
bin100001100000001011110…
…001111110110011100110
322011002122020212012101120
4201200023301332303212
5300210102312403332
64521355001434410
7325223100101433
oct41401361766346
98132566765346
102302300122342
11808444442040
1231224b79ba06
1313914ba7b9cc
147d609292b8a
153ed4c58432c
hex2180bc7ece6

2302300122342 has 128 divisors (see below), whose sum is σ = 5298036277248. Its totient is φ = 660487651200.

The previous prime is 2302300122229. The next prime is 2302300122379. The reversal of 2302300122342 is 2432210032032.

2302300122342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277615548 + ... + 277623840.

It is an arithmetic number, because the mean of its divisors is an integer number (41390908416).

Almost surely, 22302300122342 is an apocalyptic number.

2302300122342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302300122342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649018138624).

2302300122342 is an abundant number, since it is smaller than the sum of its proper divisors (2995736154906).

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

2302300122342 is a wasteful number, since it uses less digits than its factorization.

2302300122342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2302300122342 its reverse (2432210032032), we get a palindrome (4734510154374).

The spelling of 2302300122342 in words is "two trillion, three hundred two billion, three hundred million, one hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 1023 1034 1457 1551 2046 2887 2914 3102 4371 5774 8293 8661 8742 16027 16586 17322 24879 31757 32054 48081 49758 63514 89497 91223 95271 96162 135689 178994 182446 190542 257083 268491 271378 273669 389771 407067 514166 536982 547338 771249 779542 814134 984467 1169313 1492579 1542498 1968934 2338626 2827913 2953401 2985158 4206359 4287481 4477737 5655826 5906802 8412718 8483739 8574962 8955474 12082901 12619077 12862443 16967478 23941891 24165802 25238154 25724886 36248703 46269949 47883782 71825673 72497406 92539898 132911911 138809847 143651346 263360801 265823822 277619694 398735733 526721602 742198621 790082403 797471466 1125268877 1484397242 1580164806 2226595863 2250537754 3375806631 4453191726 6751613262 8164184831 12377957647 16328369662 24492554493 24755915294 34883335187 37133872941 48985108986 69766670374 74267745882 104650005561 209300011122 383716687057 767433374114 1151150061171 2302300122342