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201010342300 = 2252192314930871
BaseRepresentation
bin1011101100110100100…
…1100110100110011100
3201012211202102101120121
42323031021212212130
511243132121423200
6232202021124324
720344136501245
oct2731511464634
9635752371517
10201010342300
1178280109339
1232b59b596a4
1315c5573a961
149a2c361ccc
155366ee9e1a
hex2ecd26699c

201010342300 has 144 divisors (see below), whose sum is σ = 482344128000. Its totient is φ = 72369158400.

The previous prime is 201010342283. The next prime is 201010342301. The reversal of 201010342300 is 3243010102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010342301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6495865 + ... + 6526735.

It is an arithmetic number, because the mean of its divisors is an integer number (3349612000).

Almost surely, 2201010342300 is an apocalyptic number.

201010342300 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 201010342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241172064000).

201010342300 is an abundant number, since it is smaller than the sum of its proper divisors (281333785700).

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

201010342300 is a wasteful number, since it uses less digits than its factorization.

201010342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31076 (or 31069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201010342300 its reverse (3243010102), we get a palindrome (204253352402).

The spelling of 201010342300 in words is "two hundred one billion, ten million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 149 190 230 298 380 437 460 475 575 596 745 874 950 1150 1490 1748 1900 2185 2300 2831 2980 3427 3725 4370 5662 6854 7450 8740 10925 11324 13708 14155 14900 17135 21850 28310 30871 34270 43700 56620 61742 65113 68540 70775 85675 123484 130226 141550 154355 171350 260452 283100 308710 325565 342700 586549 617420 651130 710033 771775 1173098 1302260 1420066 1543550 1627825 2346196 2840132 2932745 3087100 3255650 3550165 4599779 5865490 6511300 7100330 9199558 11730980 13490627 14200660 14663725 17750825 18399116 22998895 26981254 29327450 35501650 45997790 53962508 58654900 67453135 71003300 87395801 91995580 105794917 114994475 134906270 174791602 211589834 229988950 269812540 337265675 349583204 423179668 436979005 459977900 528974585 674531350 873958010 1057949170 1349062700 1747916020 2010103423 2115898340 2184895025 2644872925 4020206846 4369790050 5289745850 8040413692 8739580100 10050517115 10579491700 20101034230 40202068460 50252585575 100505171150 201010342300