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1002122133243 = 3721117239152533
BaseRepresentation
bin11101001010100110010…
…00100011111011111011
310112210122121120222000120
432211103020203323323
5112404321231230433
62044211335104323
7132254343405300
oct16452310437373
93483577528016
101002122133243
11356aa7901020
121422748120a3
1373665b35a9a
14367082150a7
151b102c017b3
hexe953223efb

1002122133243 has 96 divisors (see below), whose sum is σ = 1802878663680. Its totient is φ = 487907159040.

The previous prime is 1002122133163. The next prime is 1002122133247. The reversal of 1002122133243 is 3423312212001.

It is not a de Polignac number, because 1002122133243 - 213 = 1002122125051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002122133247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6493605 + ... + 6646137.

It is an arithmetic number, because the mean of its divisors is an integer number (18779986080).

Almost surely, 21002122133243 is an apocalyptic number.

1002122133243 is a deficient number, since it is larger than the sum of its proper divisors (800756530437).

1002122133243 is a wasteful number, since it uses less digits than its factorization.

1002122133243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152817 (or 152810 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1002122133243 its reverse (3423312212001), we get a palindrome (4425434345244).

The spelling of 1002122133243 in words is "one trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred forty-three".

Divisors: 1 3 7 11 17 21 33 49 51 77 119 147 187 231 239 357 539 561 717 833 1309 1617 1673 2499 2629 3927 4063 5019 7887 9163 11711 12189 18403 27489 28441 35133 44693 55209 85323 128821 134079 152533 199087 312851 386463 457599 597261 938553 1067731 1677863 2189957 2593061 3203193 5033589 6569871 7474117 7779183 11745041 18151427 22422351 28523671 35235123 36455387 54454281 82215287 85571013 109366161 127059989 199665697 246645861 255187709 381179967 401009257 598997091 619741579 765563127 1203027771 1397659879 1786313963 1859224737 2807064799 4192979637 4338191053 5358941889 6817157369 8421194397 13014573159 19649453593 20451472107 30367337371 47720101583 58948360779 91102012113 143160304749 334040711081 1002122133243