Search a number
-
+
202202011221100 = 2252111910195789479
BaseRepresentation
bin101101111110011011010011…
…000011010011110001101100
3222111221022201211020012201021
4231332123103003103301230
5203000334204333033400
61554014153244023524
760406420223005132
oct5576332303236154
9874838654205637
10202202011221100
1159478433a36530
121a818130531ba4
1388a974c718077
1437d08b5731752
151859b11d6d71a
hexb7e6d30d3c6c

202202011221100 has 144 divisors (see below), whose sum is σ = 508849044076800. Its totient is φ = 68968424160000.

The previous prime is 202202011221019. The next prime is 202202011221103. The reversal of 202202011221100 is 1122110202202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202202011221103) 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, 45783840 + ... + 50005639.

It is an arithmetic number, because the mean of its divisors is an integer number (3533673917200).

Almost surely, 2202202011221100 is an apocalyptic number.

202202011221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202011221100 is an abundant number, since it is smaller than the sum of its proper divisors (306647032855700).

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

202202011221100 is a wasteful number, since it uses less digits than its factorization.

202202011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95789624 (or 95789617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202202011221100 its reverse (1122110202202), we get a palindrome (203324121423302).

The spelling of 202202011221100 in words is "two hundred two trillion, two hundred two billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 101 110 190 202 209 220 275 380 404 418 475 505 550 836 950 1010 1045 1100 1111 1900 1919 2020 2090 2222 2525 3838 4180 4444 5050 5225 5555 7676 9595 10100 10450 11110 19190 20900 21109 22220 27775 38380 42218 47975 55550 84436 95950 105545 111100 191900 211090 422180 527725 1055450 2110900 95789479 191578958 383157916 478947395 957894790 1053684269 1820000101 1915789580 2107368538 2394736975 3640000202 4214737076 4789473950 5268421345 7280000404 9100000505 9578947900 9674737379 10536842690 18200001010 19349474758 20020001111 21073685380 26342106725 36400002020 38698949516 40040002222 45500002525 48373686895 52684213450 80080004444 91000005050 96747373790 100100005555 105368426900 106422111169 182000010100 183820010201 193494747580 200200011110 212844222338 241868434475 367640020402 400400022220 425688444676 483736868950 500500027775 532110555845 735280040804 919100051005 967473737900 1001000055550 1064221111690 1838200102010 2002000111100 2022020112211 2128442223380 2660552779225 3676400204020 4044040224422 4595500255025 5321105558450 8088080448844 9191000510050 10110100561055 10642211116900 18382001020100 20220201122110 40440402244220 50550502805275 101101005610550 202202011221100