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120101200002 = 23272233584417
BaseRepresentation
bin110111111011010010…
…1101110000010000010
3102111000001121002210200
41233312211232002002
53431431401400002
6131101305310030
711451135233100
oct1576645560202
9374001532720
10120101200002
1146a30aa6193
121b339795316
13b43015b124
145b5496ac70
1531cdce5b1c
hex1bf696e082

120101200002 has 72 divisors (see below), whose sum is σ = 304003724076. Its totient is φ = 34167297024.

The previous prime is 120101199989. The next prime is 120101200019. The reversal of 120101200002 is 200002101021.

It can be written as a sum of positive squares in 2 ways, for example, as 107997019641 + 12104180361 = 328629^2 + 110019^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86703 + ... + 497714.

Almost surely, 2120101200002 is an apocalyptic number.

120101200002 is an abundant number, since it is smaller than the sum of its proper divisors (183902524074).

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

120101200002 is a wasteful number, since it uses less digits than its factorization.

120101200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584672 (or 584662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120101200002 its reverse (200002101021), we get a palindrome (320103301023).

The spelling of 120101200002 in words is "one hundred twenty billion, one hundred one million, two hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 233 294 441 466 699 882 1398 1631 2097 3262 4194 4893 9786 11417 14679 22834 29358 34251 68502 102753 205506 584417 1168834 1753251 3506502 4090919 5259753 8181838 10519506 12272757 24545514 28636433 36818271 57272866 73636542 85909299 136169161 171818598 257727897 272338322 408507483 515455794 817014966 953184127 1225522449 1906368254 2451044898 2859552381 5719104762 6672288889 8578657143 13344577778 17157314286 20016866667 40033733334 60050600001 120101200002