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1300212406512 = 243317412742899
BaseRepresentation
bin10010111010111010101…
…100101101100011110000
311121022002001000211012000
4102322322230231203300
5132300313334002022
62433150452134000
7162636322050345
oct22727254554360
94538061024160
101300212406512
11461465009368
1218bba6607300
13957c0106776
1446d0587a7cc
1523c4c8d06ac
hex12ebab2d8f0

1300212406512 has 160 divisors (see below), whose sum is σ = 3952675584000. Its totient is φ = 407801428992.

The previous prime is 1300212406489. The next prime is 1300212406513. The reversal of 1300212406512 is 2156042120031.

1300212406512 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 1 + 2 + 4 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×13002124065122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300212406513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30287239 + ... + 30330137.

It is an arithmetic number, because the mean of its divisors is an integer number (24704222400).

Almost surely, 21300212406512 is an apocalyptic number.

1300212406512 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 1300212406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976337792000).

1300212406512 is an abundant number, since it is smaller than the sum of its proper divisors (2652463177488).

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

1300212406512 is a wasteful number, since it uses less digits than its factorization.

1300212406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47060 (or 47048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1300212406512 its reverse (2156042120031), we get a palindrome (3456254526543).

The spelling of 1300212406512 in words is "one trillion, three hundred billion, two hundred twelve million, four hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 4127 7344 8254 12381 16508 24762 33016 37143 42899 49524 66032 70159 74286 85798 99048 111429 128697 140318 148572 171596 198096 210477 222858 257394 280636 297144 343192 386091 420954 445716 514788 561272 594288 631431 686384 729283 772182 841908 891432 1029576 1122544 1158273 1262862 1458566 1544364 1683816 1782864 1894293 2059152 2187849 2316546 2525724 2917132 3088728 3367632 3788586 4375698 4633092 5051448 5834264 6177456 6563547 7577172 8751396 9266184 10102896 11668528 13127094 15154344 17502792 18532368 19690641 26254188 30308688 35005584 39381282 52508376 78762564 105016752 157525128 177044173 315050256 354088346 531132519 708176692 1062265038 1416353384 1593397557 2124530076 2832706768 3009750941 3186795114 4249060152 4780192671 6019501882 6373590228 8498120304 9029252823 9560385342 12039003764 12747180456 18058505646 19120770684 24078007528 25494360912 27087758469 36117011292 38241541368 48156015056 54175516938 72234022584 76483082736 81263275407 108351033876 144468045168 162526550814 216702067752 325053101628 433404135504 650106203256 1300212406512