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12314405103 = 37112131013691
BaseRepresentation
bin10110111011111111…
…01110100011101111
31011210012201121001220
423131333232203233
5200204441430403
65353540234423
7614106500460
oct133577564357
934705647056
1012314405103
11524a184900
12247809ba13
131213337250
1484b6a0d67
154c1177953
hex2ddfee8ef

12314405103 has 96 divisors (see below), whose sum is σ = 22438381056. Its totient is φ = 5844960000.

The previous prime is 12314405101. The next prime is 12314405119. The reversal of 12314405103 is 30150441321.

It is a happy number.

It is not a de Polignac number, because 12314405103 - 21 = 12314405101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314405101) 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, 3334488 + ... + 3338178.

It is an arithmetic number, because the mean of its divisors is an integer number (233733136).

Almost surely, 212314405103 is an apocalyptic number.

12314405103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12314405103 is a deficient number, since it is larger than the sum of its proper divisors (10123975953).

12314405103 is a wasteful number, since it uses less digits than its factorization.

12314405103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12314405103 its reverse (30150441321), we get a palindrome (42464846424).

The spelling of 12314405103 in words is "twelve billion, three hundred fourteen million, four hundred five thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 121 143 231 273 303 363 429 707 847 1001 1111 1313 1573 2121 2541 3003 3333 3691 3939 4719 7777 9191 11011 11073 12221 14443 23331 25837 27573 33033 36663 40601 43329 47983 77511 85547 101101 121803 143949 158873 256641 284207 303303 335881 372791 446611 476619 527813 852621 1007643 1112111 1118373 1339833 1583439 2609537 3126277 3336333 3694691 4100701 4846283 5805943 7828611 9378831 11084073 12302103 14538849 17417829 28704907 33923981 40641601 45107711 53309113 86114721 101771943 121924803 135323133 159927339 315753977 373163791 586400243 947261931 1119491373 1759200729 4104801701 12314405103