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10202111220 = 2235724290741
BaseRepresentation
bin10011000000001011…
…11101110011110100
3222100000001221121010
421200011331303310
5131343220024340
64404202352220
7510550341330
oct114005756364
928300057533
1010202111220
11436590a184
121b887bb670
13c67833702
146cad347c0
153ea9d2b80
hex26017dcf4

10202111220 has 48 divisors (see below), whose sum is σ = 32646757248. Its totient is φ = 2331911040.

The previous prime is 10202111209. The next prime is 10202111233. The reversal of 10202111220 is 2211120201.

10202111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202111196 and 10202111205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12144951 + ... + 12145790.

It is an arithmetic number, because the mean of its divisors is an integer number (680140776).

Almost surely, 210202111220 is an apocalyptic number.

10202111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202111220 is an abundant number, since it is smaller than the sum of its proper divisors (22444646028).

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

10202111220 is a wasteful number, since it uses less digits than its factorization.

10202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290760 (or 24290758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202111220 its reverse (2211120201), we get a palindrome (12413231421).

The spelling of 10202111220 in words is "ten billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 24290741 48581482 72872223 97162964 121453705 145744446 170035187 242907410 291488892 340070374 364361115 485814820 510105561 680140748 728722230 850175935 1020211122 1457444460 1700351870 2040422244 2550527805 3400703740 5101055610 10202111220