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103112100003003 = 37131947676312781
BaseRepresentation
bin10111011100011110101000…
…000101111011110010111011
3111112002102100112111222122220
4113130132220011323302323
5102003342040100044003
61003145013402215123
730501413650535460
oct2734365005736273
9445072315458586
10103112100003003
112a944661363333
12b6939957b44a3
13456c577262070
141b6691bb79667
15bdc2b0674353
hex5dc7a817bcbb

103112100003003 has 128 divisors (see below), whose sum is σ = 184620087214080. Its totient is φ = 49677235407360.

The previous prime is 103112100002957. The next prime is 103112100003007. The reversal of 103112100003003 is 300300001211301.

It is not a de Polignac number, because 103112100003003 - 212 = 103112099998907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103112100003007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13177473 + ... + 19490253.

It is an arithmetic number, because the mean of its divisors is an integer number (1442344431360).

Almost surely, 2103112100003003 is an apocalyptic number.

103112100003003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103112100003003 is a deficient number, since it is larger than the sum of its proper divisors (81507987211077).

103112100003003 is a wasteful number, since it uses less digits than its factorization.

103112100003003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312937.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103112100003003 its reverse (300300001211301), we get a palindrome (403412101214304).

The spelling of 103112100003003 in words is "one hundred three trillion, one hundred twelve billion, one hundred million, three thousand, three".

Divisors: 1 3 7 13 19 21 39 47 57 67 91 133 141 201 247 273 329 399 469 611 741 871 893 987 1273 1407 1729 1833 2613 2679 3149 3819 4277 5187 6097 6251 8911 9447 11609 12831 16549 18291 18753 22043 26733 34827 40937 49647 59831 66129 81263 115843 122811 179493 243789 286559 347529 418817 777803 859677 1256451 2333409 5444621 6312781 16333863 18938343 44189467 82066153 119942839 132568401 246198459 296700707 359828517 422956327 574463071 839599873 890102121 1268868981 1559256907 1723389213 2076904949 2518799619 2960694289 3857109191 4677770721 5498432251 5637313433 6230714847 8036170213 8882082867 10914798349 11571327573 16495296753 16911940299 19878947369 24108510639 26999764337 32744395047 38489025757 39461194031 56253191491 59636842107 73285074629 80999293011 104470212769 115467077271 118383582093 139152631583 168759574473 219855223887 258426315797 313410638307 377700000011 417457894749 512995522403 731291489383 775278947391 1133100000033 1538986567209 1808984210579 2193874468149 2643900000077 4910100000143 5426952631737 7931700000231 14730300000429 34370700001001 103112100003003