Search a number
-
+
20011102200100 = 22521129773811523
BaseRepresentation
bin1001000110011001100101…
…01000110110000100100100
32121212001011010012201002001
410203030302220312010210
510110330214130400400
6110320550132455044
74133516524122124
oct443146250660444
977761133181061
1020011102200100
11641572a55a320
1222b235177a484
13b220674423cb
144d2784932c84
1524a8048b1a6a
hex123332a36124

20011102200100 has 144 divisors (see below), whose sum is σ = 49068701277120. Its totient is φ = 7016743820800.

The previous prime is 20011102200091. The next prime is 20011102200101. The reversal of 20011102200100 is 100220111002.

It is a super-2 number, since 2×200111022001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20011102200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24252939 + ... + 25064461.

It is an arithmetic number, because the mean of its divisors is an integer number (340754869980).

Almost surely, 220011102200100 is an apocalyptic number.

20011102200100 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 20011102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534350638560).

20011102200100 is an abundant number, since it is smaller than the sum of its proper divisors (29057599077020).

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

20011102200100 is a wasteful number, since it uses less digits than its factorization.

20011102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812350 (or 812343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20011102200100 its reverse (100220111002), we get a palindrome (20111322311102).

It can be divided in two parts, 20011102 and 200100, that added together give a palindrome (20211202).

The spelling of 20011102200100 in words is "twenty trillion, eleven billion, one hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 773 1100 1276 1450 1546 1595 2900 3092 3190 3865 6380 7730 7975 8503 15460 15950 17006 19325 22417 31900 34012 38650 42515 44834 77300 85030 89668 112085 170060 212575 224170 246587 425150 448340 493174 560425 811523 850300 986348 1120850 1232935 1623046 2241700 2465870 3246092 4057615 4931740 6164675 8115230 8926753 12329350 16230460 17853506 20288075 23534167 24658700 35707012 40576150 44633765 47068334 81152300 89267530 94136668 117670835 178535060 223168825 235341670 258875837 446337650 470683340 517751674 588354175 627307279 892675300 1035503348 1176708350 1254614558 1294379185 2353416700 2509229116 2588758370 3136536395 5177516740 6273072790 6471895925 6900380069 12546145580 12943791850 13800760138 15682681975 18191911091 25887583700 27601520276 31365363950 34501900345 36383822182 62730727900 69003800690 72767644364 90959555455 138007601380 172509501725 181919110910 200111022001 345019003450 363838221820 400222044002 454797777275 690038006900 800444088004 909595554550 1000555110005 1819191109100 2001110220010 4002220440020 5002775550025 10005551100050 20011102200100