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201313110102000 = 24353132580937309
BaseRepresentation
bin101101110001011111011100…
…011010101000111111110000
3222101210100022202221200210220
4231301133130122220333300
5202341303222141231000
61552053544400053040
760255251352112011
oct5561373432507760
9871710282850726
10201313110102000
1159165457481186
121a6b39b5304180
13884398b4c7910
14379d86c3d9008
151841938e141a0
hexb717dc6a8ff0

201313110102000 has 160 divisors (see below), whose sum is σ = 698959118544960. Its totient is φ = 49553996313600.

The previous prime is 201313110101927. The next prime is 201313110102023. The reversal of 201313110102000 is 201011313102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1290390655 + ... + 1290546654.

It is an arithmetic number, because the mean of its divisors is an integer number (4368494490906).

Almost surely, 2201313110102000 is an apocalyptic number.

201313110102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313110102000 is an abundant number, since it is smaller than the sum of its proper divisors (497646008442960).

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

201313110102000 is a wasteful number, since it uses less digits than its factorization.

201313110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580937348 (or 2580937332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201313110102000 its reverse (201011313102), we get a palindrome (201514121415102).

The spelling of 201313110102000 in words is "two hundred one trillion, three hundred thirteen billion, one hundred ten million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 2580937309 5161874618 7742811927 10323749236 12904686545 15485623854 20647498472 25809373090 30971247708 33552185017 38714059635 41294996944 51618746180 61942495416 64523432725 67104370034 77428119270 100656555051 103237492360 123884990832 129046865450 134208740068 154856238540 167760925085 193570298175 201313110102 206474984720 258093730900 268417480136 309712477080 322617163625 335521850170 387140596350 402626220204 503282775255 516187461800 536834960272 619424954160 645234327250 671043700340 774281192700 805252440408 838804625425 967851490875 1006565550510 1032374923600 1290468654500 1342087400680 1548562385400 1610504880816 1677609250850 1935702981750 2013131101020 2516413876275 2580937309000 2684174801360 3097124770800 3355218501700 3871405963500 4026262202040 4194023127125 5032827752550 5161874618000 6710437003400 7742811927000 8052524404080 8388046254250 10065655505100 12582069381375 13420874006800 15485623854000 16776092508500 20131311010200 25164138762750 33552185017000 40262622020400 50328277525500 67104370034000 100656555051000 201313110102000