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1003434133143 = 313199199831499
BaseRepresentation
bin11101001101000010101…
…01011100011010010111
310112221001001100110112110
432212201111130122113
5112420013114230033
62044545443522103
7132332014255011
oct16464125343227
93487031313473
101003434133143
11357610454a62
12142580089333
13738148b29a0
14367d057b1b1
151b17ceb2363
hexe9a155c697

1003434133143 has 64 divisors (see below), whose sum is σ = 1520870400000. Its totient is φ = 583377572736.

The previous prime is 1003434133123. The next prime is 1003434133147. The reversal of 1003434133143 is 3413314343001.

It is not a de Polignac number, because 1003434133143 - 217 = 1003434002071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1003434133143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003434133147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669401608 + ... + 669403106.

It is an arithmetic number, because the mean of its divisors is an integer number (23763600000).

Almost surely, 21003434133143 is an apocalyptic number.

1003434133143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003434133143 is a deficient number, since it is larger than the sum of its proper divisors (517436266857).

1003434133143 is a wasteful number, since it uses less digits than its factorization.

1003434133143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1003434133143 its reverse (3413314343001), we get a palindrome (4416748476144).

The spelling of 1003434133143 in words is "one trillion, three billion, four hundred thirty-four million, one hundred thirty-three thousand, one hundred forty-three".

Divisors: 1 3 13 19 39 57 247 741 919 983 1499 2757 2949 4497 11947 12779 17461 18677 19487 28481 35841 38337 52383 56031 58461 85443 226993 242801 370253 680979 728403 903377 1110759 1377581 1473517 2710131 4132743 4420551 11743901 17164163 17908553 19155721 26174039 27996823 35231703 51492489 53725659 57467163 78522117 83990469 223134119 340262507 363958699 669402357 1020787521 1091876097 1354162123 4062486369 17604107599 25729080337 52812322797 77187241011 334478044381 1003434133143