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20000301321312 = 2532138396367057
BaseRepresentation
bin1001000110000101011101…
…10110110000110001100000
32121211000021101110012210100
410203002232312300301200
510110141104114240222
6110312002300302400
74132655053143444
oct443025666606140
977730241405710
1020000301321312
116411097764214
1222b0238541a00
13b21035855080
144d203c296824
1524a3c15564ac
hex1230aedb0c60

20000301321312 has 144 divisors (see below), whose sum is σ = 61323937103520. Its totient is φ = 6146603053056.

The previous prime is 20000301321271. The next prime is 20000301321347. The reversal of 20000301321312 is 21312310300002.

20000301321312 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 30 + 1 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42313 + ... + 6324744.

It is an arithmetic number, because the mean of its divisors is an integer number (425860674330).

Almost surely, 220000301321312 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 20000301321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30661968551760).

20000301321312 is an abundant number, since it is smaller than the sum of its proper divisors (41323635782208).

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

20000301321312 is a wasteful number, since it uses less digits than its factorization.

20000301321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367925 (or 6367914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20000301321312 its reverse (21312310300002), we get a palindrome (41312611621314).

The spelling of 20000301321312 in words is "twenty trillion, three hundred one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 839 936 1248 1678 1872 2517 3356 3744 5034 6712 7551 10068 10907 13424 15102 20136 21814 26848 30204 32721 40272 43628 60408 65442 80544 87256 98163 120816 130884 174512 196326 241632 261768 349024 392652 523536 785304 1047072 1570608 3141216 6367057 12734114 19101171 25468228 38202342 50936456 57303513 76404684 82771741 101872912 114607026 152809368 165543482 203745824 229214052 248315223 305618736 331086964 458428104 496630446 611237472 662173928 744945669 916856208 993260892 1324347856 1489891338 1833712416 1986521784 2648695712 2979782676 3973043568 5341960823 5959565352 7946087136 10683921646 11919130704 16025882469 21367843292 23838261408 32051764938 42735686584 48077647407 64103529876 69445490699 85471373168 96155294814 128207059752 138890981398 170942746336 192310589628 208336472097 256414119504 277781962796 384621179256 416672944194 512828239008 555563925592 625009416291 769242358512 833345888388 1111127851184 1250018832582 1538484717024 1666691776776 2222255702368 2500037665164 3333383553552 5000075330328 6666767107104 10000150660656 20000301321312