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212320142034 = 23711131271731609
BaseRepresentation
bin1100010110111101000…
…1000100001011010010
3202022000221210202011020
43011233101010023102
511434312424021114
6241312153300310
721224330300310
oct3055721041322
9668027722136
10212320142034
1182054204270
1235195704696
13170388b4750
14a3c24370b0
1557c9d81aa9
hex316f4442d2

212320142034 has 256 divisors, whose sum is σ = 578316533760. Its totient is φ = 50181949440.

The previous prime is 212320142011. The next prime is 212320142063. The reversal of 212320142034 is 430241023212.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212320141995 and 212320142013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131957022 + ... + 131958630.

It is an arithmetic number, because the mean of its divisors is an integer number (2259048960).

Almost surely, 2212320142034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212320142034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289158266880).

212320142034 is an abundant number, since it is smaller than the sum of its proper divisors (365996391726).

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

212320142034 is a wasteful number, since it uses less digits than its factorization.

212320142034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212320142034 its reverse (430241023212), we get a palindrome (642561165246).

The spelling of 212320142034 in words is "two hundred twelve billion, three hundred twenty million, one hundred forty-two thousand, thirty-four".