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2001303103100 = 2252728165315581
BaseRepresentation
bin11101000111110110111…
…101011110011001111100
321002022201020212100100212
4131013312331132121330
5230242132043244400
64131215211011552
7264406104461330
oct35076675363174
97068636770325
102001303103100
117018254784a4
12283a48439bb8
131169505178b2
146cc1397b7c0
15370d25d2335
hex1d1f6f5e67c

2001303103100 has 144 divisors (see below), whose sum is σ = 4988842318656. Its totient is φ = 682628352000.

The previous prime is 2001303103091. The next prime is 2001303103117. The reversal of 2001303103100 is 13013031002.

It is a super-2 number, since 2×20013031031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 128437310 + ... + 128452890.

It is an arithmetic number, because the mean of its divisors is an integer number (34644738324).

Almost surely, 22001303103100 is an apocalyptic number.

2001303103100 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 2001303103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494421159328).

2001303103100 is an abundant number, since it is smaller than the sum of its proper divisors (2987539215556).

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

2001303103100 is a wasteful number, since it uses less digits than its factorization.

2001303103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16536 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2001303103100 its reverse (13013031002), we get a palindrome (2014316134102).

The spelling of 2001303103100 in words is "two trillion, one billion, three hundred three million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 281 350 562 653 700 1124 1306 1405 1967 2612 2810 3265 3934 4571 5620 6530 7025 7868 9142 9835 13060 14050 15581 16325 18284 19670 22855 28100 31162 32650 39340 45710 49175 62324 65300 77905 91420 98350 109067 114275 155810 183493 196700 218134 228550 311620 366986 389525 436268 457100 545335 733972 779050 917465 1090670 1284451 1558100 1834930 2181340 2568902 2726675 3669860 4378261 4587325 5137804 5453350 6422255 8756522 9174650 10174393 10906700 12844510 17513044 18349300 20348786 21891305 25689020 30647827 32111275 40697572 43782610 50871965 61295654 64222550 71220751 87565220 101743930 109456525 122591308 128445100 142441502 153239135 203487860 218913050 254359825 284883004 306478270 356103755 437826100 508719650 612956540 712207510 766195675 1017439300 1424415020 1532391350 1780518775 2859004433 3064782700 3561037550 5718008866 7122075100 11436017732 14295022165 20013031031 28590044330 40026062062 57180088660 71475110825 80052124124 100065155155 142950221650 200130310310 285900443300 400260620620 500325775775 1000651551550 2001303103100