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102220221120200 = 23521932648192257
BaseRepresentation
bin10111001111011111111111…
…111101111111111011001000
3111101221011020222001101212222
4113033133333331333323020
5101344234003101321300
61001223153222353212
730350111241241451
oct2717377775777310
9441834228041788
10102220221120200
112a630396a46047
12b56ab6928b808
134506430144661
141b356b1188128
15bc3eb10b9785
hex5cf7fff7fec8

102220221120200 has 48 divisors (see below), whose sum is σ = 238893423594180. Its totient is φ = 40676233052160.

The previous prime is 102220221120139. The next prime is 102220221120287. The reversal of 102220221120200 is 2021122022201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40327605561604 + 61892615558596 = 6350402^2 + 7867186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324057529 + ... + 1324134728.

Almost surely, 2102220221120200 is an apocalyptic number.

102220221120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220221120200 is an abundant number, since it is smaller than the sum of its proper divisors (136673202473980).

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

102220221120200 is a wasteful number, since it uses less digits than its factorization.

102220221120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648192466 (or 2648192457 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102220221120200 its reverse (2021122022201), we get a palindrome (104241343142401).

The spelling of 102220221120200 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 38600 2648192257 5296384514 10592769028 13240961285 21185538056 26481922570 52963845140 66204806425 105927690280 132409612850 264819225700 511101105601 529638451400 1022202211202 2044404422404 2555505528005 4088808844808 5111011056010 10222022112020 12777527640025 20444044224040 25555055280050 51110110560100 102220221120200