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10301301300 = 223521712891567
BaseRepresentation
bin10011001100000000…
…10110001000110100
3222120220201022210210
421212000112020310
5132044113120200
64422104345420
7513163421253
oct114600261064
928526638723
1010301301300
1144068a8154
121bb5a75270
13c82252674
146da19479a
15404577650
hex266016234

10301301300 has 144 divisors (see below), whose sum is σ = 31602977280. Its totient is φ = 2581770240.

The previous prime is 10301301299. The next prime is 10301301319. The reversal of 10301301300 is 310310301.

It is a super-2 number, since 2×103013013002 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6573117 + ... + 6574683.

It is an arithmetic number, because the mean of its divisors is an integer number (219465120).

Almost surely, 210301301300 is an apocalyptic number.

10301301300 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 10301301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801488640).

10301301300 is an abundant number, since it is smaller than the sum of its proper divisors (21301675980).

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

10301301300 is a wasteful number, since it uses less digits than its factorization.

10301301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10301301300 its reverse (310310301), we get a palindrome (10611611601).

Subtracting from 10301301300 its reverse (310310301), we obtain a palindrome (9990990999).

The spelling of 10301301300 in words is "ten billion, three hundred one million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1289 1567 1700 2550 2578 3134 3867 4701 5100 5156 6268 6445 7734 7835 9402 12890 15468 15670 18804 19335 21913 23505 25780 26639 31340 32225 38670 39175 43826 47010 53278 64450 65739 77340 78350 79917 87652 94020 96675 106556 109565 117525 128900 131478 133195 156700 159834 193350 219130 235050 262956 266390 319668 328695 386700 399585 438260 470100 532780 547825 657390 665975 799170 1095650 1314780 1331950 1598340 1643475 1997925 2019863 2191300 2663900 3286950 3995850 4039726 6059589 6573900 7991700 8079452 10099315 12119178 20198630 24238356 30297945 34337671 40397260 50496575 60595890 68675342 100993150 103013013 121191780 137350684 151489725 171688355 201986300 206026026 302979450 343376710 412052052 515065065 605958900 686753420 858441775 1030130130 1716883550 2060260260 2575325325 3433767100 5150650650 10301301300