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13032033200130 = 23571513731101811
BaseRepresentation
bin1011110110100100000110…
…1101011010100000000010
31201010211221210121200220010
42331221001231122200002
53202004100444401010
643414500003125350
72513350634326410
oct275510155324002
951124853550803
1013032033200130
114174943aa710a
121565841673856
13736bb93502c9
14330a7a4cc2b0
15178ed6a30620
hexbda41b5a802

13032033200130 has 128 divisors (see below), whose sum is σ = 36078225739776. Its totient is φ = 2951087904000.

The previous prime is 13032033200117. The next prime is 13032033200143. The reversal of 13032033200130 is 3100233023031.

It is an interprime number because it is at equal distance from previous prime (13032033200117) and next prime (13032033200143).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13032033200097 and 13032033200106.

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 63 ways as a sum of consecutive naturals, for example, 11276925 + ... + 12378735.

It is an arithmetic number, because the mean of its divisors is an integer number (281861138592).

Almost surely, 213032033200130 is an apocalyptic number.

13032033200130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032033200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039112869888).

13032033200130 is an abundant number, since it is smaller than the sum of its proper divisors (23046192539646).

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

13032033200130 is a wasteful number, since it uses less digits than its factorization.

13032033200130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102352.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13032033200130 its reverse (3100233023031), we get a palindrome (16132266223161).

The spelling of 13032033200130 in words is "thirteen trillion, thirty-two billion, thirty-three million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 373 453 746 755 906 1057 1119 1510 1865 2114 2238 2265 2611 3171 3730 4530 5222 5285 5595 6342 7833 10570 11190 13055 15666 15855 26110 31710 39165 56323 78330 112646 168969 281615 337938 394261 563230 788522 844845 1101811 1182783 1689690 1971305 2203622 2365566 3305433 3942610 5509055 5913915 6610866 7712677 11018110 11827830 15425354 16527165 23138031 33054330 38563385 46276062 77126770 115690155 166373461 231380310 332746922 410975503 499120383 821951006 831867305 998240766 1164614227 1232926509 1663734610 2054877515 2329228454 2465853018 2495601915 2876828521 3493842681 4109755030 4991203830 5753657042 5823071135 6164632545 6987685362 8630485563 11646142270 12329265090 14384142605 17260971126 17469213405 28768285210 34938426810 43152427815 62057300953 86304855630 124114601906 186171902859 310286504765 372343805718 434401106671 620573009530 868802213342 930859514295 1303203320013 1861719028590 2172005533355 2606406640026 4344011066710 6516016600065 13032033200130