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2142323310000 = 24354371930021
BaseRepresentation
bin11111001011001100011…
…010110111110110110000
321120210201012021002212210
4133023030122313312300
5240044434231410000
64320100355252120
7310530524451636
oct37131432676660
97523635232783
102142323310000
11756610727135
122a72438aa040
131270355703c3
1475990897356
153aad7b77350
hex1f2cc6b7db0

2142323310000 has 200 divisors, whose sum is σ = 7102619921584. Its totient is φ = 555845760000.

The previous prime is 2142323309953. The next prime is 2142323310013. The reversal of 2142323310000 is 133232412.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×21423233100002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144990 + ... + 2075010.

Almost surely, 22142323310000 is an apocalyptic number.

2142323310000 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 2142323310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551309960792).

2142323310000 is an abundant number, since it is smaller than the sum of its proper divisors (4960296611584).

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

2142323310000 is a wasteful number, since it uses less digits than its factorization.

2142323310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930089 (or 1930068 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2142323310000 its reverse (133232412), we get a palindrome (2142456542412).

The spelling of 2142323310000 in words is "two trillion, one hundred forty-two billion, three hundred twenty-three million, three hundred ten thousand".