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20202111001100 = 225271091231215087
BaseRepresentation
bin1001001011111101010111…
…01001100110001000001100
32122112022011211222011021002
410211332223221212020030
510121442410404013400
6110544415514155432
74153361100132020
oct445765351461014
978468154864232
1020202111001100
116489737aa0646
12232337a122b78
13b37087a73192
144dbb04850380
152507837e6ed5
hex125faba6620c

20202111001100 has 144 divisors (see below), whose sum is σ = 50602187919360. Its totient is φ = 6857285817600.

The previous prime is 20202111001069. The next prime is 20202111001123. The reversal of 20202111001100 is 110011120202.

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, 93817757 + ... + 94032843.

Almost surely, 220202111001100 is an apocalyptic number.

20202111001100 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 20202111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25301093959680).

20202111001100 is an abundant number, since it is smaller than the sum of its proper divisors (30400076918260).

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

20202111001100 is a wasteful number, since it uses less digits than its factorization.

20202111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216448 (or 216441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20202111001100 its reverse (110011120202), we get a palindrome (20312122121302).

The spelling of 20202111001100 in words is "twenty trillion, two hundred two billion, one hundred eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 1090 1231 1526 2180 2462 2725 3052 3815 4924 5450 6155 7630 8617 10900 12310 15260 17234 19075 24620 30775 34468 38150 43085 61550 76300 86170 123100 134179 172340 215087 215425 268358 430174 430850 536716 670895 860348 861700 939253 1075435 1341790 1505609 1878506 2150870 2683580 3011218 3354475 3757012 4301740 4696265 5377175 6022436 6708950 7528045 9392530 10754350 13417900 15056090 18785060 21508700 23444483 23481325 30112180 37640225 46888966 46962650 75280450 93777932 93925300 117222415 150560900 164111381 234444830 264772097 328222762 468889660 529544194 586112075 656445524 820556905 1059088388 1172224150 1323860485 1641113810 1853404679 2344448300 2647720970 3282227620 3706809358 4102784525 5295441940 6619302425 7413618716 8205569050 9267023395 13238604850 16411138100 18534046790 26477209700 28860158573 37068093580 46335116975 57720317146 92670233950 115440634292 144300792865 185340467900 202021110011 288601585730 404042220022 577203171460 721503964325 808084440044 1010105550055 1443007928650 2020211100110 2886015857300 4040422200220 5050527750275 10101055500550 20202111001100