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201130020101000 = 23531788713338419
BaseRepresentation
bin101101101110110100111011…
…011001101101101110001000
3222101010211201220210222001202
4231232310323121231232020
5202330303240121213000
61551433504454003332
760236110252560434
oct5556647331555610
9871124656728052
10201130020101000
11590a4842997571
121a684418946548
13882c630649613
143794a600899c4
15183bcc02d9dd5
hexb6ed3b66db88

201130020101000 has 128 divisors (see below), whose sum is σ = 498891054355200. Its totient is φ = 75634165427200.

The previous prime is 201130020100987. The next prime is 201130020101011. The reversal of 201130020101000 is 101020031102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8409791 + ... + 21748209.

It is an arithmetic number, because the mean of its divisors is an integer number (3897586362150).

Almost surely, 2201130020101000 is an apocalyptic number.

201130020101000 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 201130020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249445527177600).

201130020101000 is an abundant number, since it is smaller than the sum of its proper divisors (297761034254200).

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

201130020101000 is a wasteful number, since it uses less digits than its factorization.

201130020101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339344 (or 13339330 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 201130020101000 its reverse (101020031102), we get a palindrome (201231040132102).

The spelling of 201130020101000 in words is "two hundred one trillion, one hundred thirty billion, twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 887 1000 1700 1774 2125 3400 3548 4250 4435 7096 8500 8870 15079 17000 17740 22175 30158 35480 44350 60316 75395 88700 110875 120632 150790 177400 221750 301580 376975 443500 603160 753950 887000 1507900 1884875 3015800 3769750 7539500 13338419 15079000 26676838 53353676 66692095 106707352 133384190 226753123 266768380 333460475 453506246 533536760 666920950 907012492 1133765615 1333841900 1667302375 1814024984 2267531230 2667683800 3334604750 4535062460 5668828075 6669209500 9070124920 11337656150 11831177653 13338419000 22675312300 23662355306 28344140375 45350624600 47324710612 56688280750 59155888265 94649421224 113376561500 118311776530 201130020101 226753123000 236623553060 295779441325 402260040202 473247106120 591558882650 804520080404 1005650100505 1183117765300 1478897206625 1609040160808 2011300201010 2366235530600 2957794413250 4022600402020 5028250502525 5915588826500 8045200804040 10056501005050 11831177653000 20113002010100 25141252512625 40226004020200 50282505025250 100565010050500 201130020101000