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1012022012001 = 372112132336667
BaseRepresentation
bin11101011101000010011…
…01100110100001100001
310120202012112221220121210
432232201031212201201
5113040110113341001
62052525543540333
7133054564111500
oct16564115464141
93522175856553
101012022012001
11360218051500
1214417815a6a9
1374582b69500
1436da6d54837
151b4d1dd3dd6
hexeba1366861

1012022012001 has 108 divisors (see below), whose sum is σ = 1868269039056. Its totient is φ = 485283839040.

The previous prime is 1012022011997. The next prime is 1012022012041. The reversal of 1012022012001 is 1002102202101.

It is not a de Polignac number, because 1012022012001 - 22 = 1012022011997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012022012041) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 2837670 + ... + 3174336.

Almost surely, 21012022012001 is an apocalyptic number.

1012022012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012022012001 is a deficient number, since it is larger than the sum of its proper divisors (856247027055).

1012022012001 is a wasteful number, since it uses less digits than its factorization.

1012022012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336732 (or 336701 counting only the distinct ones).

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

Adding to 1012022012001 its reverse (1002102202101), we get a palindrome (2014124214102).

The spelling of 1012022012001 in words is "one trillion, twelve billion, twenty-two million, twelve thousand, one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 121 143 147 169 231 273 363 429 507 539 637 847 1001 1183 1573 1617 1859 1911 2541 3003 3549 4719 5577 5929 7007 8281 11011 13013 17787 20449 21021 24843 33033 39039 61347 77077 91091 143143 231231 273273 336667 429429 1002001 1010001 2356669 3006003 3703337 4376671 7070007 11110011 13130013 16496683 25923359 30636697 40736707 48143381 49490049 56896723 77770077 91910091 122210121 144430143 170690169 181463513 214456879 285156949 337003667 398277061 529577191 544390539 625863953 643370637 855470847 1011011001 1194831183 1588731573 1877591859 1996098643 2359025669 2787939427 3707040337 4381047671 5988295929 6884503483 7077077007 8363818281 11121121011 13143143013 20653510449 25949282359 30667333697 48191524381 77847847077 92002001091 144574573143 337340670667 1012022012001