Search a number
-
+
1003001102103 = 3721113394312101
BaseRepresentation
bin11101001100001111000…
…01100011111100010111
310112212220212112012121210
432212013201203330113
5112413121240231403
62044434454312503
7132315205461600
oct16460741437427
93485825465553
101003001102103
11357408a79370
1214247b058733
1373775c778c0
143678cc58da7
151b154e76b03
hexe987863f17

1003001102103 has 96 divisors (see below), whose sum is σ = 1828260951552. Its totient is φ = 480797856000.

The previous prime is 1003001102021. The next prime is 1003001102111. The reversal of 1003001102103 is 3012011003001.

It is not a de Polignac number, because 1003001102103 - 229 = 1002464231191 is a prime.

It is a super-2 number, since 2×10030011021032 (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 (1003001102123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82879753 + ... + 82891853.

It is an arithmetic number, because the mean of its divisors is an integer number (19044384912).

Almost surely, 21003001102103 is an apocalyptic number.

1003001102103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003001102103 is a deficient number, since it is larger than the sum of its proper divisors (825259849449).

1003001102103 is a wasteful number, since it uses less digits than its factorization.

1003001102103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16085 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1003001102103 its reverse (3012011003001), we get a palindrome (4015012105104).

The spelling of 1003001102103 in words is "one trillion, three billion, one million, one hundred two thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 3943 7007 11829 12101 21021 27601 36303 43373 51259 82803 84707 130119 133111 153777 157313 193207 254121 303611 358813 399333 471939 563849 579621 592949 910833 931777 1076439 1101191 1691547 1730443 1778847 2125277 2511691 2795331 3303573 3946943 5191329 6375831 6522439 7535073 7708337 11840829 12113101 19567317 23125011 27628601 36339303 47714243 82885803 84791707 143142729 254375121 333999701 524856673 620285159 1001999103 1574570019 1860855477 2337997907 3673996711 4341996113 6823136749 7013993721 11021990133 13025988339 20469410247 25717976977 30393972791 47761957243 77153930931 91181918373 143285871729 334333700701 1003001102103