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2002201202112 = 263311093086159
BaseRepresentation
bin11101001000101100011…
…111011100110111000000
321002102000211210111121020
4131020230133130313000
5230301002001431422
64131444252225440
7264440261261646
oct35105437346700
97072024714536
102002201202112
11702146421591
1228405916b280
13116a645c6c27
146cc9ad61196
153713638595c
hex1d22c7dcdc0

2002201202112 has 112 divisors (see below), whose sum is σ = 5518547865600. Its totient is φ = 639945722880.

The previous prime is 2002201202059. The next prime is 2002201202123. The reversal of 2002201202112 is 2112021022002.

It is a super-3 number, since 3×20022012021123 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002201202091 and 2002201202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894312 + ... + 2191847.

It is an arithmetic number, because the mean of its divisors is an integer number (49272748800).

Almost surely, 22002201202112 is an apocalyptic number.

It is an amenable number.

2002201202112 is an abundant number, since it is smaller than the sum of its proper divisors (3516346663488).

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

2002201202112 is a wasteful number, since it uses less digits than its factorization.

2002201202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086314 (or 3086304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002201202112 its reverse (2112021022002), we get a palindrome (4114222224114).

The spelling of 2002201202112 in words is "two trillion, two billion, two hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 109 124 186 192 218 248 327 372 436 496 654 744 872 992 1308 1488 1744 1984 2616 2976 3379 3488 5232 5952 6758 6976 10137 10464 13516 20274 20928 27032 40548 54064 81096 108128 162192 216256 324384 648768 3086159 6172318 9258477 12344636 18516954 24689272 37033908 49378544 74067816 95670929 98757088 148135632 191341858 197514176 287012787 296271264 336391331 382683716 574025574 592542528 672782662 765367432 1009173993 1148051148 1345565324 1530734864 2018347986 2296102296 2691130648 3061469728 4036695972 4592204592 5382261296 6122939456 8073391944 9184409184 10428131261 10764522592 16146783888 18368818368 20856262522 21529045184 31284393783 32293567776 41712525044 62568787566 64587135552 83425050088 125137575132 166850100176 250275150264 333700200352 500550300528 667400400704 1001100601056 2002201202112