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10202112210220 = 22571711689366721
BaseRepresentation
bin1001010001110101110101…
…0001100011010100101100
31100010022102202000100000221
42110131131101203110230
52314122411211211340
633410441411101124
72102035564651510
oct224353521432454
940108382010027
1010202112210220
113283767412aa7
1211892a28a17a4
13590093c4c118
14273adb958140
1512a5a8a4244a
hex9475d46352c

10202112210220 has 96 divisors (see below), whose sum is σ = 25927656128640. Its totient is φ = 3291819540480.

The previous prime is 10202112210217. The next prime is 10202112210221. The reversal of 10202112210220 is 2201221120201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10202112210194 and 10202112210203.

It is not an unprimeable number, because it can be changed into a prime (10202112210221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27636460 + ... + 28003180.

It is an arithmetic number, because the mean of its divisors is an integer number (270079751340).

Almost surely, 210202112210220 is an apocalyptic number.

10202112210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202112210220 is an abundant number, since it is smaller than the sum of its proper divisors (15725543918420).

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

10202112210220 is a wasteful number, since it uses less digits than its factorization.

10202112210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378443 (or 378441 counting only the distinct ones).

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

Adding to 10202112210220 its reverse (2201221120201), we get a palindrome (12403333330421).

The spelling of 10202112210220 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 11689 23378 46756 58445 81823 116890 163646 198713 233780 327292 366721 397426 409115 733442 794852 818230 993565 1390991 1466884 1636460 1833605 1987130 2567047 2781982 3667210 3974260 5134094 5563964 6234257 6954955 7334420 10268188 12468514 12835235 13909910 24937028 25670470 27819820 31171285 43639799 51340940 62342570 87279598 124685140 174559196 218198995 436397990 872795980 4286601769 8573203538 17146407076 21433008845 30006212383 42866017690 60012424766 72872230073 85732035380 120024849532 145744460146 150031061915 291488920292 300062123830 364361150365 510105610511 600124247660 728722300730 1020211221022 1457444601460 2040422442044 2550528052555 5101056105110 10202112210220