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10013301210 = 23511433112269
BaseRepresentation
bin10010101001101011…
…01101100111011010
3221211211210101221210
421110311231213122
5131001401114320
64333335443550
7503065440663
oct112465554732
927754711853
1010013301210
11427927a450
121b355265b6
13c37696803
146adc2636a
153d91390e0
hex254d6d9da

10013301210 has 128 divisors (see below), whose sum is σ = 26924451840. Its totient is φ = 2362348800.

The previous prime is 10013301161. The next prime is 10013301269. The reversal of 10013301210 is 1210331001.

It is a super-2 number, since 2×100133012102 (a number of 21 digits) contains 22 as substring.

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, 4411956 + ... + 4414224.

It is an arithmetic number, because the mean of its divisors is an integer number (210347280).

Almost surely, 210013301210 is an apocalyptic number.

10013301210 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 10013301210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462225920).

10013301210 is an abundant number, since it is smaller than the sum of its proper divisors (16911150630).

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

10013301210 is a wasteful number, since it uses less digits than its factorization.

10013301210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10013301210 its reverse (1210331001), we get a palindrome (11223632211).

The spelling of 10013301210 in words is "ten billion, thirteen million, three hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 311 330 430 473 622 645 933 946 1290 1419 1555 1866 2269 2365 2838 3110 3421 4538 4665 4730 6807 6842 7095 9330 10263 11345 13373 13614 14190 17105 20526 22690 24959 26746 34035 34210 40119 49918 51315 66865 68070 74877 80238 97567 102630 124795 133730 147103 149754 195134 200595 249590 292701 294206 374385 401190 441309 487835 585402 705659 735515 748770 882618 975670 1073237 1411318 1463505 1471030 2116977 2146474 2206545 2927010 3219711 3528295 4233954 4413090 5366185 6439422 7056590 7762249 10584885 10732370 15524498 16098555 21169770 23286747 30343337 32197110 38811245 46573494 60686674 77622490 91030011 116433735 151716685 182060022 232867470 303433370 333776707 455150055 667553414 910300110 1001330121 1668883535 2002660242 3337767070 5006650605 10013301210