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13210132001310 = 23253719853199819
BaseRepresentation
bin1100000000111011100100…
…1110011011001000011110
31201202212122210221012122200
43000032321032123020132
53212413322243020220
644032352330352330
72532254246214666
oct300167116331036
951685583835580
1013210132001310
1142334271444a2
12159426658b6a6
1374a93013142a
143395339cb1a6
1517d95c390890
hexc03b939b21e

13210132001310 has 96 divisors (see below), whose sum is σ = 35276576081760. Its totient is φ = 3427303912704.

The previous prime is 13210132001309. The next prime is 13210132001323. The reversal of 13210132001310 is 1310023101231.

13210132001310 is a `hidden beast` number, since 1 + 3 + 210 + 1 + 320 + 0 + 131 + 0 = 666.

It is a super-2 number, since 2×132101320013102 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66010581 + ... + 66210399.

It is an arithmetic number, because the mean of its divisors is an integer number (367464334185).

Almost surely, 213210132001310 is an apocalyptic number.

13210132001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13210132001310 is an abundant number, since it is smaller than the sum of its proper divisors (22066444080450).

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

13210132001310 is a wasteful number, since it uses less digits than its factorization.

13210132001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219722 (or 219719 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13210132001310 its reverse (1310023101231), we get a palindrome (14520155102541).

The spelling of 13210132001310 in words is "thirteen trillion, two hundred ten billion, one hundred thirty-two million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 19853 39706 59559 99265 119118 178677 198530 199819 297795 357354 399638 595590 599457 734561 893385 999095 1198914 1469122 1786770 1798371 1998190 2203683 2997285 3596742 3672805 4407366 5994570 6611049 7345610 7393303 8991855 11018415 13222098 14786606 17983710 22036830 22179909 33055245 36966515 44359818 66110490 66539727 73933030 110899545 133079454 221799090 332698635 665397270 3967006607 7934013214 11901019821 19835033035 23802039642 35703059463 39670066070 59505099105 71406118926 119010198210 146779244459 178515297315 293558488918 357030594630 440337733377 733896222295 880675466754 1321013200131 1467792444590 2201688666885 2642026400262 4403377333770 6605066000655 13210132001310