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103438997307 = 321923107271907
BaseRepresentation
bin110000001010101110…
…0011101011100111011
3100212222211201111200100
41200111130131130323
53143320340403212
6115304052410443
710321212653502
oct1402534353473
9325884644610
10103438997307
113a960687738
1218069616a23
1399a613a8a9
145013a9d839
152a560e6bdc
hex181571d73b

103438997307 has 96 divisors (see below), whose sum is σ = 166442065920. Its totient is φ = 61609014720.

The previous prime is 103438997297. The next prime is 103438997327. The reversal of 103438997307 is 703799834301.

It is a happy number.

It is not a de Polignac number, because 103438997307 - 211 = 103438995259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103438997327) 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, 114044748 + ... + 114045654.

It is an arithmetic number, because the mean of its divisors is an integer number (1733771520).

Almost surely, 2103438997307 is an apocalyptic number.

103438997307 is a deficient number, since it is larger than the sum of its proper divisors (63003068613).

103438997307 is a wasteful number, since it uses less digits than its factorization.

103438997307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 103438997307 in words is "one hundred three billion, four hundred thirty-eight million, nine hundred ninety-seven thousand, three hundred seven".

Divisors: 1 3 9 19 23 57 69 107 171 207 271 321 437 813 907 963 1311 2033 2439 2461 2721 3933 5149 6099 6233 7383 8163 15447 17233 18297 18699 20861 22149 28997 46341 46759 51699 56097 62583 86991 97049 118427 140277 155097 187749 245797 260973 291147 355281 396359 420831 550943 666931 737391 873441 1065843 1189077 1652829 1843931 2000793 2212173 2232127 3567231 4670143 4958487 5531793 5653331 6002379 6696381 12671689 14010429 16595379 16959993 20089143 26300279 38015067 42031287 42410413 50879979 78900837 107413289 114045201 127231239 236702511 322239867 381693717 499705301 604906417 966719601 1499115903 1814719251 4497347709 5444157753 11493221923 34479665769 103438997307