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342132202120 = 23543397501043
BaseRepresentation
bin1001111101010001010…
…10110001101010001000
31012201002210002122200111
410332220222301222020
521101141320431440
6421101240244104
733501232510012
oct4765052615210
91181083078614
10342132202120
11122108788355
1256383470634
1326355865417
14127b897d1b2
158d7646e4ea
hex4fa8ab1a88

342132202120 has 64 divisors (see below), whose sum is σ = 789685427520. Its totient is φ = 133333288704.

The previous prime is 342132202117. The next prime is 342132202129. The reversal of 342132202120 is 21202231243.

It is a junction number, because it is equal to n+sod(n) for n = 342132202091 and 342132202100.

It is not an unprimeable number, because it can be changed into a prime (342132202129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432319 + ... + 933361.

It is an arithmetic number, because the mean of its divisors is an integer number (12338834805).

Almost surely, 2342132202120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342132202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394842713760).

342132202120 is an abundant number, since it is smaller than the sum of its proper divisors (447553225400).

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

342132202120 is a wasteful number, since it uses less digits than its factorization.

342132202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501494 (or 501490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 342132202120 its reverse (21202231243), we get a palindrome (363334433363).

The spelling of 342132202120 in words is "three hundred forty-two billion, one hundred thirty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 397 430 794 860 1588 1720 1985 3176 3970 7940 15880 17071 34142 68284 85355 136568 170710 341420 501043 682840 1002086 2004172 2505215 4008344 5010430 10020860 20041720 21544849 43089698 86179396 107724245 172358792 198914071 215448490 397828142 430896980 795656284 861793960 994570355 1591312568 1989140710 3978281420 7956562840 8553305053 17106610106 34213220212 42766525265 68426440424 85533050530 171066101060 342132202120