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1012121112002 = 273111385912011
BaseRepresentation
bin11101011101001110001…
…11101000110111000010
310120202110110102201021012
432232213013220313002
5113040311001041002
62052543444000522
7133060206335000
oct16564707506702
93522413381235
101012121112002
11360268a88830
121441a5390142
137459a556470
1436db618da70
151b4da95bd52
hexeba71e8dc2

1012121112002 has 128 divisors (see below), whose sum is σ = 2082592512000. Its totient is φ = 363545582400.

The previous prime is 1012121111941. The next prime is 1012121112007. The reversal of 1012121112002 is 2002111212101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1012121112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84260177 + ... + 84272187.

It is an arithmetic number, because the mean of its divisors is an integer number (16270254000).

Almost surely, 21012121112002 is an apocalyptic number.

1012121112002 is an abundant number, since it is smaller than the sum of its proper divisors (1070471399998).

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

1012121112002 is a wasteful number, since it uses less digits than its factorization.

1012121112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012121112002 its reverse (2002111212101), we get a palindrome (3014232324103).

The spelling of 1012121112002 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 343 539 637 686 859 1001 1078 1274 1718 2002 3773 4459 6013 7007 7546 8918 9449 11167 12011 12026 14014 18898 22334 24022 42091 49049 66143 78169 84077 84182 98098 122837 132121 132286 156143 156338 168154 245674 264242 294637 312286 463001 547183 588539 589274 859859 924847 926002 1093001 1094366 1177078 1717573 1719718 1849694 2186002 3241007 3435146 3830281 4119773 6019013 6473929 6482014 7651007 7660562 8239546 10317449 12023011 12038026 12947858 15302014 20634898 24046022 42133091 45317503 53557049 72222143 84161077 84266182 90635006 107114098 113491939 134126837 144444286 168322154 226983878 268253674 505555001 589127539 794443573 938887859 1011110002 1178255078 1475395207 1588887146 1877775718 2950790414 3538885007 5561105011 6572215013 7077770014 10327766449 11122210022 13144430026 20655532898 38927735077 46005505091 72294365143 77855470154 92011010182 144588730286 506060556001 1012121112002