Search a number
-
+
200102012221120 = 2658771425150033
BaseRepresentation
bin101101011111110111100001…
…010110110111011011000000
3222020111120021021121211021021
4231133313201112313123000
5202211432410112033440
61545325332333235224
760101615255015062
oct5537674126673300
9866446237554237
10200102012221120
1158838872282a09
121a53913b032b14
1387867009344b9
14375adbc001732
1518201a4ca284a
hexb5fde15b76c0

200102012221120 has 112 divisors (see below), whose sum is σ = 477079247036448. Its totient is φ = 79942330368000.

The previous prime is 200102012221103. The next prime is 200102012221129. The reversal of 200102012221120 is 21122210201002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200102012221094 and 200102012221103.

It is not an unprimeable number, because it can be changed into a prime (200102012221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3999375624 + ... + 3999425656.

It is an arithmetic number, because the mean of its divisors is an integer number (4259636134254).

Almost surely, 2200102012221120 is an apocalyptic number.

200102012221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102012221120 is an abundant number, since it is smaller than the sum of its proper divisors (276977234815328).

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

200102012221120 is a wasteful number, since it uses less digits than its factorization.

200102012221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65178 (or 65168 counting only the distinct ones).

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

Adding to 200102012221120 its reverse (21122210201002), we get a palindrome (221224222422122).

The spelling of 200102012221120 in words is "two hundred trillion, one hundred two billion, twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 877 1754 3508 4385 7016 8770 14032 14251 17540 28064 28502 35080 50033 56128 57004 70160 71255 100066 114008 140320 142510 200132 228016 250165 280640 285020 400264 456032 500330 570040 800528 912064 1000660 1140080 1601056 2001320 2280160 3202112 4002640 4560320 8005280 12498127 16010560 24996254 43878941 49992508 62490635 87757882 99985016 124981270 175515764 199970032 219394705 249962540 351031528 399940064 438789410 499925080 702063056 713020283 799880128 877578820 999850160 1404126112 1426040566 1755157640 1999700320 2808252224 2852081132 3510315280 3565101415 3999400640 5704162264 7020630560 7130202830 11408324528 14041261120 14260405660 22816649056 28520811320 45633298112 57041622640 114083245280 228166490560 625318788191 1250637576382 2501275152764 3126593940955 5002550305528 6253187881910 10005100611056 12506375763820 20010201222112 25012751527640 40020402444224 50025503055280 100051006110560 200102012221120