Search a number
-
+
2341202122100 = 2252315979311521
BaseRepresentation
bin100010000100011010100…
…001010101010101110100
322021211001101211112201102
4202010122201111111310
5301324240220401400
64551311114345232
7331101112455362
oct42043241252564
98254041745642
102341202122100
11822997621266
123198a7a2b218
1313ca0b50088a
1481459ac2632
1540d7797c9d5
hex2211a855574

2341202122100 has 288 divisors, whose sum is σ = 5428452556800. Its totient is φ = 875122560000.

The previous prime is 2341202122093. The next prime is 2341202122117. The reversal of 2341202122100 is 12212021432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4493669840 + ... + 4493670360.

It is an arithmetic number, because the mean of its divisors is an integer number (18848793600).

Almost surely, 22341202122100 is an apocalyptic number.

2341202122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341202122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714226278400).

2341202122100 is an abundant number, since it is smaller than the sum of its proper divisors (3087250434700).

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

2341202122100 is a wasteful number, since it uses less digits than its factorization.

2341202122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2341202122100 its reverse (12212021432), we get a palindrome (2353414143532).

The spelling of 2341202122100 in words is "two trillion, three hundred forty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred".