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103323233013 = 37111327137277
BaseRepresentation
bin110000000111010001…
…0110110101011110101
3100212200202220001220220
41200032202312223311
53143101221424023
6115244355244553
710315305663330
oct1401642665365
9325622801826
10103323233013
113a9012a9270
12180368a9759
139988167900
145002567617
152a4ad7b3e3
hex180e8b6af5

103323233013 has 96 divisors (see below), whose sum is σ = 188611172352. Its totient is φ = 48846470400.

The previous prime is 103323233009. The next prime is 103323233053. The reversal of 103323233013 is 310332323301.

It is not a de Polignac number, because 103323233013 - 22 = 103323233009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323233053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2753131 + ... + 2790407.

It is an arithmetic number, because the mean of its divisors is an integer number (1964699712).

Almost surely, 2103323233013 is an apocalyptic number.

103323233013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103323233013 is a deficient number, since it is larger than the sum of its proper divisors (85287939339).

103323233013 is a wasteful number, since it uses less digits than its factorization.

103323233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37382 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103323233013 its reverse (310332323301), we get a palindrome (413655556314).

It can be divided in two parts, 10332323301 and 3, that multiplied together give a palindrome (30996969903).

The spelling of 103323233013 in words is "one hundred three billion, three hundred twenty-three million, two hundred thirty-three thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 143 169 213 231 273 429 497 507 781 923 1001 1183 1491 1859 2343 2769 3003 3549 5467 5577 6461 10153 11999 13013 16401 19383 30459 35997 37277 39039 71071 83993 111831 131989 213213 251979 260939 395967 410047 484601 782817 923923 1230141 1453803 2646667 2771769 2870329 3392207 5330611 6299813 7940001 8610987 10176621 15991833 18526669 18899439 29113337 34406671 37314277 44098691 55580007 69297943 87340011 103220013 111942831 132296073 203793359 207893829 240846697 378473381 447286723 485085601 611380077 722540091 1135420143 1341860169 1455256803 2649313667 3131007061 4920153953 7947941001 9393021183 14760461859 34441077671 103323233013