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1301331012444 = 2232673491545913
BaseRepresentation
bin10010111011111101010…
…111110110101101011100
311121101221222212220001100
4102323331113312231130
5132310111214344234
62433453451513100
7163006124045211
oct22737527665534
94541858786040
101301331012444
11461989481581
12190259158790
139593aaa0178
1446db025db08
1523cb5bde399
hex12efd5f6b5c

1301331012444 has 72 divisors (see below), whose sum is σ = 3348140541200. Its totient is φ = 426078081792.

The previous prime is 1301331012433. The next prime is 1301331012503. The reversal of 1301331012444 is 4442101331031.

1301331012444 is a `hidden beast` number, since 1 + 301 + 3 + 310 + 1 + 2 + 4 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68832 + ... + 1614744.

Almost surely, 21301331012444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301331012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674070270600).

1301331012444 is an abundant number, since it is smaller than the sum of its proper divisors (2046809528756).

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

1301331012444 is a wasteful number, since it uses less digits than its factorization.

1301331012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546339 (or 1546334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1301331012444 its reverse (4442101331031), we get a palindrome (5743432343475).

The spelling of 1301331012444 in words is "one trillion, three hundred one billion, three hundred thirty-one million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 349 402 603 698 804 1047 1206 1396 2094 2412 3141 4188 6282 12564 23383 46766 70149 93532 140298 210447 280596 420894 841788 1545913 3091826 4637739 6183652 9275478 13913217 18550956 27826434 55652868 103576171 207152342 310728513 414304684 539523637 621457026 932185539 1079047274 1242914052 1618570911 1864371078 2158094548 3237141822 3728742156 4855712733 6474283644 9711425466 19422850932 36148083679 72296167358 108444251037 144592334716 216888502074 325332753111 433777004148 650665506222 1301331012444