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2141235321420 = 22351310740736299
BaseRepresentation
bin11111001010001011100…
…100100001101001001100
321120200220101000120010110
4133022023210201221030
5240040222220241140
64315400412040020
7310461543633366
oct37121344415114
97520811016113
102141235321420
11756102576218
122a6b9b463010
13126bc1036990
14758ca1a3d36
153aa723b5380
hex1f28b921a4c

2141235321420 has 192 divisors, whose sum is σ = 6519625459200. Its totient is φ = 521936320512.

The previous prime is 2141235321413. The next prime is 2141235321461. The reversal of 2141235321420 is 241235321412.

It is a happy number.

It is a super-2 number, since 2×21412353214202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339929431 + ... + 339935729.

It is an arithmetic number, because the mean of its divisors is an integer number (33956382600).

Almost surely, 22141235321420 is an apocalyptic number.

2141235321420 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 2141235321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259812729600).

2141235321420 is an abundant number, since it is smaller than the sum of its proper divisors (4378390137780).

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

2141235321420 is a wasteful number, since it uses less digits than its factorization.

2141235321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2141235321420 in words is "two trillion, one hundred forty-one billion, two hundred thirty-five million, three hundred twenty-one thousand, four hundred twenty".