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342124112010 = 23567433393097
BaseRepresentation
bin1001111101010000010…
…11111010100010001010
31012201002012212122010210
410332220023322202022
521101132233041020
6421100351021550
733501103653462
oct4765013724212
91181065778123
10342124112010
1112210416210a
125638080a8b6
1326353c91c85
14127b7874ba2
158d758c23e0
hex4fa82fa88a

342124112010 has 64 divisors (see below), whose sum is σ = 835279788672. Its totient is φ = 89663625216.

The previous prime is 342124112003. The next prime is 342124112027. The reversal of 342124112010 is 10211421243.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 673782 + ... + 1066878.

It is an arithmetic number, because the mean of its divisors is an integer number (13051246698).

Almost surely, 2342124112010 is an apocalyptic number.

342124112010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342124112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417639894336).

342124112010 is an abundant number, since it is smaller than the sum of its proper divisors (493155676662).

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

342124112010 is a wasteful number, since it uses less digits than its factorization.

342124112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393607.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 342124112010 its reverse (10211421243), we get a palindrome (352335533253).

The spelling of 342124112010 in words is "three hundred forty-two billion, one hundred twenty-four million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 433 670 866 1005 1299 2010 2165 2598 4330 6495 12990 29011 58022 87033 145055 174066 290110 393097 435165 786194 870330 1179291 1965485 2358582 3930970 5896455 11792910 26337499 52674998 79012497 131687495 158024994 170211001 263374990 340422002 395062485 510633003 790124970 851055005 1021266006 1702110010 2553165015 5106330030 11404137067 22808274134 34212411201 57020685335 68424822402 114041370670 171062056005 342124112010