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2002120211100 = 2235224772694281
BaseRepresentation
bin11101001000100111101…
…010011111101010011100
321002101211012101201211010
4131020213222133222130
5230300320233223400
64131432240255220
7264435256000362
oct35104752375234
97071735351733
102002120211100
11702104733869
12284036011510
13116a508aa759
146cc902bb632
153712e1d8450
hex1d227a9fa9c

2002120211100 has 72 divisors (see below), whose sum is σ = 5795141930928. Its totient is φ = 533682982400.

The previous prime is 2002120211099. The next prime is 2002120211131. The reversal of 2002120211100 is 11120212002.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 604041 + ... + 2090240.

It is an arithmetic number, because the mean of its divisors is an integer number (80488082374).

Almost surely, 22002120211100 is an apocalyptic number.

2002120211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120211100 is an abundant number, since it is smaller than the sum of its proper divisors (3793021719828).

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

2002120211100 is a wasteful number, since it uses less digits than its factorization.

2002120211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696775 (or 2696768 counting only the distinct ones).

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

Adding to 2002120211100 its reverse (11120212002), we get a palindrome (2013240423102).

The spelling of 2002120211100 in words is "two trillion, two billion, one hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2477 4954 7431 9908 12385 14862 24770 29724 37155 49540 61925 74310 123850 148620 185775 247700 371550 743100 2694281 5388562 8082843 10777124 13471405 16165686 26942810 32331372 40414215 53885620 67357025 80828430 134714050 161656860 202071075 269428100 404142150 808284300 6673734037 13347468074 20021202111 26694936148 33368670185 40042404222 66737340370 80084808444 100106010555 133474680740 166843350925 200212021110 333686701850 400424042220 500530052775 667373403700 1001060105550 2002120211100