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1002013012231 = 71137677371909
BaseRepresentation
bin11101001010011001010…
…00010011000100000111
310112210101000021001010121
432211030220103010013
5112404110312342411
62044152440202411
7132251550034240
oct16451450230407
93483330231117
101002013012231
11356a5124a870
12142244169407
137364934a83a
14366d792bcc7
151b0e8349571
hexe94ca13107

1002013012231 has 64 divisors (see below), whose sum is σ = 1320032885760. Its totient is φ = 738086722560.

The previous prime is 1002013012171. The next prime is 1002013012279. The reversal of 1002013012231 is 1322103102001.

It is not a de Polignac number, because 1002013012231 - 211 = 1002013010183 is a prime.

It is a super-2 number, since 2×10020130122312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002013012631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13898505 + ... + 13970413.

It is an arithmetic number, because the mean of its divisors is an integer number (20625513840).

Almost surely, 21002013012231 is an apocalyptic number.

1002013012231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002013012231 is a deficient number, since it is larger than the sum of its proper divisors (318019873529).

1002013012231 is a wasteful number, since it uses less digits than its factorization.

1002013012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72104.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1002013012231 its reverse (1322103102001), we get a palindrome (2324116114232).

The spelling of 1002013012231 in words is "one trillion, two billion, thirteen million, twelve thousand, two hundred thirty-one".

Divisors: 1 7 11 37 67 73 77 259 407 469 511 737 803 2479 2701 2849 4891 5159 5621 17353 18907 27269 29711 34237 53801 71909 180967 190883 207977 376607 503363 790999 1266769 1990637 2660633 4817903 5249357 5536993 13934459 18624431 29266963 33725321 36745499 52996933 57742927 178262411 194226209 204868741 351706919 370978531 404200489 1247836877 1359583463 1960886521 2136488299 2461948433 3868776109 13013156003 13726205647 14955418093 27081432763 91092092021 143144716033 1002013012231