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1301320211312 = 241159891408087
BaseRepresentation
bin10010111011111100101…
…110101001101101110000
311121101221020120010200102
4102323330232221231300
5132310100433230222
62433452424211532
7163005633201062
oct22737456515560
94541836503612
101301320211312
11461983374520
12190255609ba8
139593878aa74
1446daca4b732
1523cb4ca8d92
hex12efcba9b70

1301320211312 has 80 divisors (see below), whose sum is σ = 2828567174400. Its totient is φ = 574949675520.

The previous prime is 1301320211311. The next prime is 1301320211339. The reversal of 1301320211312 is 2131120231031.

It is a happy number.

It is a super-2 number, since 2×13013202113122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301320211311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220133 + ... + 1628219.

It is an arithmetic number, because the mean of its divisors is an integer number (35357089680).

Almost surely, 21301320211312 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 1301320211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414283587200).

1301320211312 is an abundant number, since it is smaller than the sum of its proper divisors (1527246963088).

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

1301320211312 is a wasteful number, since it uses less digits than its factorization.

1301320211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408254 (or 1408248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1301320211312 its reverse (2131120231031), we get a palindrome (3432440442343).

The spelling of 1301320211312 in words is "one trillion, three hundred one billion, three hundred twenty million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 59 88 89 118 176 178 236 356 472 649 712 944 979 1298 1424 1958 2596 3916 5192 5251 7832 10384 10502 15664 21004 42008 57761 84016 115522 231044 462088 924176 1408087 2816174 5632348 11264696 15488957 22529392 30977914 61955828 83077133 123911656 125319743 166154266 247823312 250639486 332308532 501278972 664617064 913848463 1002557944 1329234128 1378517173 1827696926 2005115888 2757034346 3655393852 5514068692 7310787704 7393864837 11028137384 14621575408 14787729674 22056274768 29575459348 59150918696 81332513207 118301837392 162665026414 325330052828 650660105656 1301320211312