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2123230454400 = 273521122390163
BaseRepresentation
bin11110111001011010011…
…001011010001010000000
321111222102120200112210210
4132321122121122022000
5234241333444020100
64303222033154120
7306253426040616
oct36713231321200
97458376615723
102123230454400
1174950326a130
122a35b56bb940
131252b1ac1003
1474a9cc6b6b6
153a36b899c50
hex1ee5a65a280

2123230454400 has 384 divisors, whose sum is σ = 7663449507840. Its totient is φ = 512408678400.

The previous prime is 2123230454399. The next prime is 2123230454467. The reversal of 2123230454400 is 44540323212.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 23503719 + ... + 23593881.

It is an arithmetic number, because the mean of its divisors is an integer number (19956899760).

Almost surely, 22123230454400 is an apocalyptic number.

2123230454400 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 2123230454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831724753920).

2123230454400 is an abundant number, since it is smaller than the sum of its proper divisors (5540219053440).

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

2123230454400 is a wasteful number, since it uses less digits than its factorization.

2123230454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90424 (or 90407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2123230454400 its reverse (44540323212), we get a palindrome (2167770777612).

The spelling of 2123230454400 in words is "two trillion, one hundred twenty-three billion, two hundred thirty million, four hundred fifty-four thousand, four hundred".