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2102114202220 = 2251813535772851
BaseRepresentation
bin11110100101101111110…
…001010011001001101100
321102221220221201210102201
4132211233301103021230
5233420112213432340
64245410430431244
7304605230621314
oct36455761231154
97387827653381
102102114202220
1174055773534a
1229b4a1962524
131232c8095136
1473a58616444
1539a32b3779a
hex1e96fc5326c

2102114202220 has 96 divisors (see below), whose sum is σ = 4460682373056. Its totient is φ = 832094208000.

The previous prime is 2102114202197. The next prime is 2102114202269. The reversal of 2102114202220 is 222024112012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737323795 + ... + 737326645.

It is an arithmetic number, because the mean of its divisors is an integer number (46465441386).

Almost surely, 22102114202220 is an apocalyptic number.

2102114202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102114202220 is an abundant number, since it is smaller than the sum of its proper divisors (2358568170836).

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

2102114202220 is a wasteful number, since it uses less digits than its factorization.

2102114202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2102114202220 its reverse (222024112012), we get a palindrome (2324138314232).

The spelling of 2102114202220 in words is "two trillion, one hundred two billion, one hundred fourteen million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 353 362 577 706 724 905 1154 1412 1765 1810 2308 2851 2885 3530 3620 5702 5770 7060 11404 11540 14255 28510 57020 63893 104437 127786 203681 208874 255572 319465 407362 417748 516031 522185 638930 814724 1006403 1018405 1032062 1044370 1277860 1645027 2012806 2036810 2064124 2088740 2580155 3290054 4025612 4073620 5032015 5160310 6580108 8225135 10064030 10320620 16450270 20128060 32900540 36866261 73732522 147465044 182158943 184331305 297749887 364317886 368662610 580694531 595499774 728635772 737325220 910794715 1161389062 1190999548 1488749435 1821589430 2322778124 2903472655 2977498870 3643178860 5806945310 5954997740 11613890620 105105710111 210211420222 420422840444 525528550555 1051057101110 2102114202220