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1301323223112 = 2331161503160651
BaseRepresentation
bin10010111011111100111…
…010001001000001001000
311121101221110020011002120
4102323330322021001020
5132310102221114422
62433453012531240
7163006000613613
oct22737472110110
94541843204076
101301323223112
11461985041310
12190256620b20
13959392a38b3
1446dad1d317a
1523cb51a145c
hex12efce89048

1301323223112 has 128 divisors (see below), whose sum is σ = 3614438661120. Its totient is φ = 387102240000.

The previous prime is 1301323223099. The next prime is 1301323223149. The reversal of 1301323223112 is 2113223231031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 8019987 + ... + 8180637.

It is an arithmetic number, because the mean of its divisors is an integer number (28237802040).

Almost surely, 21301323223112 is an apocalyptic number.

1301323223112 is a gapful number since it is divisible by the number (12) 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 1301323223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807219330560).

1301323223112 is an abundant number, since it is smaller than the sum of its proper divisors (2313115438008).

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

1301323223112 is a wasteful number, since it uses less digits than its factorization.

1301323223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161235 (or 161231 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1301323223112 its reverse (2113223231031), we get a palindrome (3414546454143).

The spelling of 1301323223112 in words is "one trillion, three hundred one billion, three hundred twenty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 503 671 732 1006 1342 1464 1509 2012 2013 2684 3018 4024 4026 5368 5533 6036 8052 11066 12072 16104 16599 22132 30683 33198 44264 61366 66396 92049 122732 132792 160651 184098 245464 321302 337513 368196 481953 642604 675026 736392 963906 1012539 1285208 1350052 1767161 1927812 2025078 2700104 3534322 3855624 4050156 5301483 7068644 8100312 9799711 10602966 14137288 19599422 21205932 29399133 39198844 42411864 58798266 78397688 80807453 107796821 117596532 161614906 215593642 235193064 242422359 323229812 323390463 431187284 484844718 646459624 646780926 862374568 888881983 969689436 1293561852 1777763966 1939378872 2587123704 2666645949 3555527932 4929254633 5333291898 7111055864 9858509266 10666583796 14787763899 19717018532 21333167592 29575527798 39434037064 54221800963 59151055596 108443601926 118302111192 162665402889 216887203852 325330805778 433774407704 650661611556 1301323223112