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201010311300 = 223526738326111
BaseRepresentation
bin1011101100110100100…
…1011111000010000100
3201012211202100211001110
42323031021133002010
511243132114430200
6232202020325020
720344136312001
oct2731511370204
9635752324043
10201010311300
1178280098017
1232b59b43770
1315c55729806
149a2c3548a8
155366ee0b50
hex2ecd25f084

201010311300 has 144 divisors (see below), whose sum is σ = 591834120192. Its totient is φ = 52662825600.

The previous prime is 201010311277. The next prime is 201010311331. The reversal of 201010311300 is 3113010102.

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

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, 7685245 + ... + 7711355.

It is an arithmetic number, because the mean of its divisors is an integer number (4109959168).

Almost surely, 2201010311300 is an apocalyptic number.

201010311300 is a gapful number since it is divisible by the number (20) 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 201010311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295917060096).

201010311300 is an abundant number, since it is smaller than the sum of its proper divisors (390823808892).

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

201010311300 is a wasteful number, since it uses less digits than its factorization.

201010311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26578 (or 26571 counting only the distinct ones).

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

Adding to 201010311300 its reverse (3113010102), we get a palindrome (204123321402).

The spelling of 201010311300 in words is "two hundred one billion, ten million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 383 402 670 766 804 1005 1149 1340 1532 1675 1915 2010 2298 3350 3830 4020 4596 5025 5745 6700 7660 9575 10050 11490 19150 20100 22980 25661 26111 28725 38300 51322 52222 57450 76983 78333 102644 104444 114900 128305 130555 153966 156666 256610 261110 307932 313332 384915 391665 513220 522220 641525 652775 769830 783330 1283050 1305550 1539660 1566660 1749437 1924575 1958325 2566100 2611100 3498874 3849150 3916650 5248311 6997748 7698300 7833300 8747185 10000513 10496622 17494370 20001026 20993244 26241555 30001539 34988740 40002052 43735925 50002565 52483110 60003078 87471850 100005130 104966220 120006156 131207775 150007695 174943700 200010260 250012825 262415550 300015390 500025650 524831100 600030780 670034371 750038475 1000051300 1340068742 1500076950 2010103113 2680137484 3000153900 3350171855 4020206226 6700343710 8040412452 10050515565 13400687420 16750859275 20101031130 33501718550 40202062260 50252577825 67003437100 100505155650 201010311300