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1033002103332 = 2234147151295843
BaseRepresentation
bin11110000100000111011…
…10010011001000100100
310122202100200200222102110
433002003232103020210
5113411042014301312
62110315444041020
7134426520000513
oct17020356231044
93582320628373
101033002103332
11369103836661
12148252393170
1376547600634
1437dd748467a
151bd0dbec43c
hexf083b93224

1033002103332 has 96 divisors (see below), whose sum is σ = 2538369921024. Its totient is φ = 326609568000.

The previous prime is 1033002103327. The next prime is 1033002103339. The reversal of 1033002103332 is 2333012003301.

It is a junction number, because it is equal to n+sod(n) for n = 1033002103299 and 1033002103308.

It is not an unprimeable number, because it can be changed into a prime (1033002103339) 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 31 ways as a sum of consecutive naturals, for example, 3343803 + ... + 3639645.

It is an arithmetic number, because the mean of its divisors is an integer number (26441353344).

Almost surely, 21033002103332 is an apocalyptic number.

1033002103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033002103332 is an abundant number, since it is smaller than the sum of its proper divisors (1505367817692).

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

1033002103332 is a wasteful number, since it uses less digits than its factorization.

1033002103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296089 (or 296087 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1033002103332 its reverse (2333012003301), we get a palindrome (3366014106633).

The spelling of 1033002103332 in words is "one trillion, thirty-three billion, two million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 151 164 188 246 282 302 453 492 564 604 906 1812 1927 3854 5781 6191 7097 7708 11562 12382 14194 18573 21291 23124 24764 28388 37146 42582 74292 85164 290977 295843 581954 591686 872931 887529 1163908 1183372 1745862 1775058 3491724 3550116 12129563 13904621 24259126 27809242 36388689 41713863 44672293 48518252 55618484 72777378 83427726 89344586 134016879 145554756 166855452 178689172 268033758 536067516 570089461 1140178922 1710268383 1831564013 2099597771 2280357844 3420536766 3663128026 4199195542 5494692039 6298793313 6841073532 7326256052 8398391084 10989384078 12597586626 21978768156 25195173252 86083508611 172167017222 258250525833 344334034444 516501051666 1033002103332