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13021322331220 = 22571735261102191
BaseRepresentation
bin1011110101111100001101…
…0010101100010001010100
31201002211022100020011221121
42331133003102230101110
53201320132004044340
643405525104053324
72512521335414350
oct275370322542124
951084270204847
1013021322331220
114170347a99835
121563752604244
13735ba02b9558
14330341ba2460
15178aab55494a
hexbd7c34ac454

13021322331220 has 96 divisors (see below), whose sum is σ = 31438098349056. Its totient is φ = 4437760166400.

The previous prime is 13021322331217. The next prime is 13021322331239. The reversal of 13021322331220 is 2213322312031.

13021322331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127370325 + ... + 127472515.

It is an arithmetic number, because the mean of its divisors is an integer number (327480191136).

Almost surely, 213021322331220 is an apocalyptic number.

13021322331220 is a gapful number since it is divisible by the number (10) 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 13021322331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719049174528).

13021322331220 is an abundant number, since it is smaller than the sum of its proper divisors (18416776017836).

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

13021322331220 is a wasteful number, since it uses less digits than its factorization.

13021322331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107641 (or 107639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13021322331220 its reverse (2213322312031), we get a palindrome (15234644643251).

The spelling of 13021322331220 in words is "thirteen trillion, twenty-one billion, three hundred twenty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 5261 6055 10522 12110 21044 24220 26305 36827 52610 73654 102191 105220 147308 184135 204382 368270 408764 510955 715337 736540 910153 1021910 1430674 1820306 2043820 2861348 3576685 3640612 4550765 6371071 7153370 9101530 12742142 14306740 17679043 18203060 25484284 31855355 35358086 63710710 70716172 88395215 123753301 127421420 176790430 247506602 353580860 495013204 537626851 618766505 1075253702 1237533010 2150507404 2475066020 2688134255 3763387957 5376268510 7526775914 10752537020 15053551828 18816939785 37633879570 75267759140 93009445223 186018890446 372037780892 465047226115 651066116561 930094452230 1302132233122 1860188904460 2604264466244 3255330582805 6510661165610 13021322331220