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1020201212002 = 272294723931957
BaseRepresentation
bin11101101100010001011…
…10110001100001100010
310121112022120120022201011
432312020232301201202
5113203333002241002
62100401324331134
7133464352135600
oct16661056614142
93545276508634
101020201212002
11363734a95525
1214587b3a3aaa
137528756331b
1437541348870
151b80eeca8d7
hexed88bb1862

1020201212002 has 96 divisors (see below), whose sum is σ = 1888641100800. Its totient is φ = 411428642688.

The previous prime is 1020201211993. The next prime is 1020201212021. The reversal of 1020201212002 is 2002121020201.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 31908208 + ... + 31940164.

It is an arithmetic number, because the mean of its divisors is an integer number (19673344800).

Almost surely, 21020201212002 is an apocalyptic number.

1020201212002 is a deficient number, since it is larger than the sum of its proper divisors (868439888798).

1020201212002 is a wasteful number, since it uses less digits than its factorization.

1020201212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32288 (or 32281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020201212002 its reverse (2002121020201), we get a palindrome (3022322232203).

The spelling of 1020201212002 in words is "one trillion, twenty billion, two hundred one million, two hundred twelve thousand, two".

Divisors: 1 2 7 14 29 47 49 58 94 98 203 239 329 406 478 658 1363 1421 1673 2303 2726 2842 3346 4606 6931 9541 11233 11711 13862 19082 22466 23422 31957 48517 63914 66787 78631 97034 133574 157262 223699 325757 339619 447398 550417 651514 679238 926753 1100834 1501979 1565893 1853506 2280299 3003958 3131786 4560598 6487271 7637723 10513853 12974542 15275446 15962093 21027706 31924186 43557391 45410897 53464061 73596971 87114782 90821794 106928122 147193942 221493967 304901737 358972981 374248427 442987934 609803474 717945962 748496854 1550457769 2134312159 2512810867 3100915538 4268624318 5025621734 10410216449 10853204383 17589676069 20820432898 21706408766 35179352138 72871515143 145743030286 510100606001 1020201212002