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11102020100000 = 2555791405319
BaseRepresentation
bin1010000110001110001111…
…1101101101111110100000
31110022100020212110201210122
42201203203331231332200
52423343414121200000
635340110404215412
72224044256550234
oct241434375557640
943270225421718
1011102020100000
1135a0381a10045
1212b379009a568
13626bba5c792b
142a54aaa045c4
15143bc7e27085
hexa18e3f6dfa0

11102020100000 has 144 divisors (see below), whose sum is σ = 27665466796800. Its totient is φ = 4384592160000.

The previous prime is 11102020099997. The next prime is 11102020100023. The reversal of 11102020100000 is 102020111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197341 + ... + 8602659.

It is an arithmetic number, because the mean of its divisors is an integer number (192121297200).

Almost surely, 211102020100000 is an apocalyptic number.

11102020100000 is a gapful number since it is divisible by the number (10) 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 11102020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832733398400).

11102020100000 is an abundant number, since it is smaller than the sum of its proper divisors (16563446696800).

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

11102020100000 is an frugal number, since it uses more digits than its factorization.

11102020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405433 (or 1405405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11102020100000 its reverse (102020111), we get a palindrome (11102122120111).

The spelling of 11102020100000 in words is "eleven trillion, one hundred two billion, twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3125 3160 3950 4000 5000 6250 6320 7900 9875 10000 12500 12640 15800 19750 20000 25000 31600 39500 49375 50000 63200 79000 98750 100000 158000 197500 246875 316000 395000 493750 790000 987500 1405319 1580000 1975000 2810638 3950000 5621276 7026595 7900000 11242552 14053190 22485104 28106380 35132975 44970208 56212760 70265950 111020201 112425520 140531900 175664875 222040402 224851040 281063800 351329750 444080804 555101005 562127600 702659500 878324375 888161608 1110202010 1124255200 1405319000 1756648750 1776323216 2220404020 2775505025 2810638000 3513297500 3552646432 4391621875 4440808040 5551010050 5621276000 7026595000 8783243750 8881616080 11102020100 13877525125 14053190000 17566487500 17763232160 22204040200 27755050250 28106380000 35132975000 44408080400 55510100500 69387625625 70265950000 88816160800 111020201000 138775251250 140531900000 222040402000 277550502500 346938128125 444080804000 555101005000 693876256250 1110202010000 1387752512500 2220404020000 2775505025000 5551010050000 11102020100000