Search a number
-
+
21300131121312 = 253794576145649
BaseRepresentation
bin1001101011111010100101…
…01111111100100010100000
32210102021100202112121111210
410311331102233330202200
510242440132031340222
6113145051204110120
74325612051144211
oct465752257744240
983367322477453
1021300131121312
1168723757a764a
122480136995340
13bb67945ca144
14538d08db9408
1526e0ea55bd0c
hex135f52bfc8a0

21300131121312 has 96 divisors (see below), whose sum is σ = 56744507232000. Its totient is φ = 6994829058048.

The previous prime is 21300131121301. The next prime is 21300131121329. The reversal of 21300131121312 is 21312113100312.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393064 + ... + 6538712.

It is an arithmetic number, because the mean of its divisors is an integer number (591088617000).

Almost surely, 221300131121312 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 21300131121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28372253616000).

21300131121312 is an abundant number, since it is smaller than the sum of its proper divisors (35444376110688).

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

21300131121312 is a wasteful number, since it uses less digits than its factorization.

21300131121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146198 (or 6146190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21300131121312 its reverse (21312113100312), we get a palindrome (42612244221624).

The spelling of 21300131121312 in words is "twenty-one trillion, three hundred billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 457 474 632 914 948 1264 1371 1828 1896 2528 2742 3656 3792 5484 7312 7584 10968 14624 21936 36103 43872 72206 108309 144412 216618 288824 433236 577648 866472 1155296 1732944 3465888 6145649 12291298 18436947 24582596 36873894 49165192 73747788 98330384 147495576 196660768 294991152 485506271 589982304 971012542 1456518813 1942025084 2808561593 2913037626 3884050168 5617123186 5826075252 7768100336 8425684779 11234246372 11652150504 15536200672 16851369558 22468492744 23304301008 33702739116 44936985488 46608602016 67405478232 89873970976 134810956464 221876365847 269621912928 443752731694 665629097541 887505463388 1331258195082 1775010926776 2662516390164 3550021853552 5325032780328 7100043707104 10650065560656 21300131121312