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13010022300 = 223521119120641
BaseRepresentation
bin11000001110111010…
…10010111110011100
31020120200122121110210
430013131102332130
5203121031203200
65550545532420
7640254236112
oct140735227634
936520577423
1013010022300
115576900350
122631044110
1312c44a0762
148b5c17ab2
15512281650
hex307752f9c

13010022300 has 144 divisors (see below), whose sum is σ = 41281357824. Its totient is φ = 3137280000.

The previous prime is 13010022299. The next prime is 13010022313. The reversal of 13010022300 is 322001031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 619980 + ... + 640620.

It is an arithmetic number, because the mean of its divisors is an integer number (286676096).

Almost surely, 213010022300 is an apocalyptic number.

13010022300 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 13010022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640678912).

13010022300 is an abundant number, since it is smaller than the sum of its proper divisors (28271335524).

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

13010022300 is a wasteful number, since it uses less digits than its factorization.

13010022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20860 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13010022300 its reverse (322001031), we get a palindrome (13332023331).

The spelling of 13010022300 in words is "thirteen billion, ten million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 191 220 275 300 330 382 550 573 660 764 825 955 1100 1146 1650 1910 2101 2292 2865 3300 3820 4202 4775 5730 6303 8404 9550 10505 11460 12606 14325 19100 20641 21010 25212 28650 31515 41282 42020 52525 57300 61923 63030 82564 103205 105050 123846 126060 157575 206410 210100 227051 247692 309615 315150 412820 454102 516025 619230 630300 681153 908204 1032050 1135255 1238460 1362306 1548075 2064100 2270510 2724612 3096150 3405765 3942431 4541020 5676275 6192300 6811530 7884862 11352550 11827293 13623060 15769724 17028825 19712155 22705100 23654586 34057650 39424310 43366741 47309172 59136465 68115300 78848620 86733482 98560775 118272930 130100223 173466964 197121550 216833705 236545860 260200446 295682325 394243100 433667410 520400892 591364650 650501115 867334820 1084168525 1182729300 1301002230 2168337050 2602004460 3252505575 4336674100 6505011150 13010022300