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2010434443320 = 2335163613316759
BaseRepresentation
bin11101010000010111001…
…110110001100000111000
321010012021122002111021210
4131100113032301200320
5230414332204141240
64135325243203120
7265151303544432
oct35202716614070
97105248074253
102010434443320
11705690916566
122857765164a0
131177772626a4
146d43c5c1652
15374690a4780
hex1d4173b1838

2010434443320 has 128 divisors (see below), whose sum is σ = 6069656793600. Its totient is φ = 532708130304.

The previous prime is 2010434443313. The next prime is 2010434443333. The reversal of 2010434443320 is 233444340102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 119953101 + ... + 119969859.

It is an arithmetic number, because the mean of its divisors is an integer number (47419193700).

Almost surely, 22010434443320 is an apocalyptic number.

2010434443320 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 2010434443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034828396800).

2010434443320 is an abundant number, since it is smaller than the sum of its proper divisors (4059222350280).

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

2010434443320 is a wasteful number, since it uses less digits than its factorization.

2010434443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23069 (or 23065 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2010434443320 its reverse (233444340102), we get a palindrome (2243878783422).

The spelling of 2010434443320 in words is "two trillion, ten billion, four hundred thirty-four million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6133 6520 9780 12266 16759 18399 19560 24532 30665 33518 36798 49064 50277 61330 67036 73596 83795 91995 100554 122660 134072 147192 167590 183990 201108 245320 251385 335180 367980 402216 502770 670360 735960 999679 1005540 1999358 2011080 2731717 2999037 3998716 4998395 5463434 5998074 7997432 8195151 9996790 10926868 11996148 13658585 14995185 16390302 19993580 21853736 23992296 27317170 29990370 32780604 39987160 40975755 54634340 59980740 65561208 81951510 102782947 109268680 119961480 163903020 205565894 308348841 327806040 411131788 513914735 616697682 822263576 1027829470 1233395364 1541744205 2055658940 2466790728 3083488410 4111317880 6166976820 12333953640 16753620361 33507240722 50260861083 67014481444 83768101805 100521722166 134028962888 167536203610 201043444332 251304305415 335072407220 402086888664 502608610830 670144814440 1005217221660 2010434443320