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10200122210212 = 221117101550724517
BaseRepresentation
bin1001010001101110011010…
…1010010011011110100100
31100010010022001110212012221
42110123212222103132210
52314104322241211322
633405512122322124
72101635352146304
oct224334652233644
940103261425187
1010200122210212
1132829360865a0
121188a28359344
1358cb3789661c
1427398d543604
1512a4ddea79c7
hex946e6a937a4

10200122210212 has 96 divisors (see below), whose sum is σ = 20827202288256. Its totient is φ = 4319523072000.

The previous prime is 10200122210209. The next prime is 10200122210227. The reversal of 10200122210212 is 21201222100201.

It is a happy number.

10200122210212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416030578 + ... + 416055094.

It is an arithmetic number, because the mean of its divisors is an integer number (216950023836).

Almost surely, 210200122210212 is an apocalyptic number.

It is an amenable number.

10200122210212 is an abundant number, since it is smaller than the sum of its proper divisors (10627080078044).

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

10200122210212 is a wasteful number, since it uses less digits than its factorization.

10200122210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30157 (or 30155 counting only the distinct ones).

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

Adding to 10200122210212 its reverse (21201222100201), we get a palindrome (31401344310413).

The spelling of 10200122210212 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 374 404 748 1111 1717 2222 3434 4444 5507 6868 11014 18887 22028 24517 37774 49034 60577 75548 93619 98068 121154 187238 242308 269687 374476 416789 539374 556207 833578 1029809 1078748 1112414 1667156 2059618 2224828 2476217 4119236 4584679 4952434 6118277 9169358 9455519 9904868 12236554 18338716 18911038 24473108 27238387 37822076 42095689 54476774 84191378 104010709 108953548 135015119 168382756 208021418 270030238 416042836 463052579 540060476 926105158 1485166309 1852210316 2295257023 2970332618 4590514046 5940665236 9181028092 13636527019 25247827253 27273054038 50495654506 54546108076 100991309012 150001797209 231820959323 300003594418 463641918646 600007188836 927283837292 2550030552553 5100061105106 10200122210212