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321023142 = 233113531531
BaseRepresentation
bin10011001000100…
…110110010100110
3211101001122222000
4103020212302212
51124140220032
651504350130
710645436346
oct2310466246
9741048860
10321023142
11155233490
128b615346
135167bb2b
14308c6d26
151d2b2e7c
hex13226ca6

321023142 has 64 divisors (see below), whose sum is σ = 780952320. Its totient is φ = 96940800.

The previous prime is 321023119. The next prime is 321023201. The reversal of 321023142 is 241320123.

321023142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208917 + ... + 210447.

It is an arithmetic number, because the mean of its divisors is an integer number (12202380).

Almost surely, 2321023142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321023142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390476160).

321023142 is an abundant number, since it is smaller than the sum of its proper divisors (459929178).

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

321023142 is a wasteful number, since it uses less digits than its factorization.

321023142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 321023142 is about 17917.1186857709. The cubic root of 321023142 is about 684.7185815432.

Adding to 321023142 its reverse (241320123), we get a palindrome (562343265).

The spelling of 321023142 in words is "three hundred twenty-one million, twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 353 594 706 1059 1531 2118 3062 3177 3883 4593 6354 7766 9186 9531 11649 13779 16841 19062 23298 27558 33682 34947 41337 50523 69894 82674 101046 104841 151569 209682 303138 454707 540443 909414 1080886 1621329 3242658 4863987 5944873 9727974 11889746 14591961 17834619 29183922 35669238 53503857 107007714 160511571 321023142