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2013203061100 = 2252711317824779
BaseRepresentation
bin11101010010111100010…
…000001101100101101100
321010110102120201211220001
4131102330100031211230
5230441014440423400
64140504104234044
7265310022446410
oct35227420154554
97113376654801
102013203061100
1170688170a030
1228620976b924
13117ac8a2276a
146d622196d40
153757c190a6a
hex1d4bc40d96c

2013203061100 has 144 divisors (see below), whose sum is σ = 5463817793280. Its totient is φ = 625511635200.

The previous prime is 2013203061071. The next prime is 2013203061113. The reversal of 2013203061100 is 11603023102.

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, 2028511 + ... + 2853289.

It is an arithmetic number, because the mean of its divisors is an integer number (37943179120).

Almost surely, 22013203061100 is an apocalyptic number.

2013203061100 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 2013203061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731908896640).

2013203061100 is an abundant number, since it is smaller than the sum of its proper divisors (3450614732180).

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

2013203061100 is a wasteful number, since it uses less digits than its factorization.

2013203061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825128 (or 825121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2013203061100 its reverse (11603023102), we get a palindrome (2024806084202).

The spelling of 2013203061100 in words is "two trillion, thirteen billion, two hundred three million, sixty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 317 350 385 550 634 700 770 1100 1268 1540 1585 1925 2219 3170 3487 3850 4438 6340 6974 7700 7925 8876 11095 13948 15850 17435 22190 24409 31700 34870 44380 48818 55475 69740 87175 97636 110950 122045 174350 221900 244090 348700 488180 610225 824779 1220450 1649558 2440900 3299116 4123895 5773453 8247790 9072569 11546906 16495580 18145138 20619475 23093812 28867265 36290276 41238950 45362845 57734530 63507983 82477900 90725690 115469060 127015966 144336325 181451380 226814225 254031932 261454943 288672650 317539915 453628450 522909886 577345300 635079830 907256900 1045819772 1270159660 1307274715 1587699575 1830184601 2614549430 2876004373 3175399150 3660369202 5229098860 5752008746 6350798300 6536373575 7320738404 9150923005 11504017492 13072747150 14380021865 18301846010 20132030611 26145494300 28760043730 36603692020 40264061222 45754615025 57520087460 71900109325 80528122444 91509230050 100660153055 143800218650 183018460100 201320306110 287600437300 402640612220 503300765275 1006601530550 2013203061100