Search a number
-
+
1003531402000 = 24532111237691
BaseRepresentation
bin11101001101001110010…
…00011111101100010000
310112221021211101020022201
432212213020133230100
5112420213014331000
62045003240412544
7132334305113461
oct16464710375420
93487254336281
101003531402000
11357660350546
121425a8777154
137382baab31a
14367dd45ad68
151b1867c796a
hexe9a721fb10

1003531402000 has 80 divisors (see below), whose sum is σ = 2427698617344. Its totient is φ = 401220720000.

The previous prime is 1003531401973. The next prime is 1003531402057. The reversal of 1003531402000 is 2041353001.

1003531402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4103155 + ... + 4340845.

Almost surely, 21003531402000 is an apocalyptic number.

1003531402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003531402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213849308672).

1003531402000 is an abundant number, since it is smaller than the sum of its proper divisors (1424167215344).

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

1003531402000 is a wasteful number, since it uses less digits than its factorization.

1003531402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239825 (or 239809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 1003531402000 its reverse (2041353001), we get a palindrome (1005572755001).

The spelling of 1003531402000 in words is "one trillion, three billion, five hundred thirty-one million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2111 4222 8444 10555 16888 21110 33776 42220 52775 84440 105550 168880 211100 237691 263875 422200 475382 527750 844400 950764 1055500 1188455 1901528 2111000 2376910 3803056 4222000 4753820 5942275 9507640 11884550 19015280 23769100 29711375 47538200 59422750 95076400 118845500 237691000 475382000 501765701 1003531402 2007062804 2508828505 4014125608 5017657010 8028251216 10035314020 12544142525 20070628040 25088285050 40141256080 50176570100 62720712625 100353140200 125441425250 200706280400 250882850500 501765701000 1003531402000