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2121400323020 = 22511192933315233
BaseRepresentation
bin11110110111101101010…
…100000000101111001100
321111210201000222020112002
4132313231110000233030
5234224111440314040
64302320255131432
7306160164136616
oct36675524005714
97453630866462
102121400323020
117487541a5360
122a3184813b78
1312507c8b1234
1474967b8ddb6
153a2b0d8da15
hex1eded500bcc

2121400323020 has 192 divisors, whose sum is σ = 5149673141760. Its totient is φ = 725983948800.

The previous prime is 2121400323011. The next prime is 2121400323041. The reversal of 2121400323020 is 203230041212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2121400322983 and 2121400323001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405386324 + ... + 405391556.

It is an arithmetic number, because the mean of its divisors is an integer number (26821214280).

Almost surely, 22121400323020 is an apocalyptic number.

2121400323020 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 2121400323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574836570880).

2121400323020 is an abundant number, since it is smaller than the sum of its proper divisors (3028272818740).

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

2121400323020 is a wasteful number, since it uses less digits than its factorization.

2121400323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2121400323020 its reverse (203230041212), we get a palindrome (2324630364232).

The spelling of 2121400323020 in words is "two trillion, one hundred twenty-one billion, four hundred million, three hundred twenty-three thousand, twenty".