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132213002103 = 327131392574519
BaseRepresentation
bin111101100100010000…
…0100100111101110111
3110122021011002101210200
41323020200210331313
54131233012031403
6140423211251543
712360234655350
oct1731040447567
9418234071720
10132213002103
115108687a396
1221759a49bb3
13c610509330
14658336cd27
15368c29cca3
hex1ec8824f77

132213002103 has 96 divisors (see below), whose sum is σ = 237710054400. Its totient is φ = 68952342528.

The previous prime is 132213002101. The next prime is 132213002107. The reversal of 132213002103 is 301200312231.

132213002103 is a `hidden beast` number, since 1 + 322 + 130 + 0 + 210 + 3 = 666.

It is not a de Polignac number, because 132213002103 - 21 = 132213002101 is a prime.

It is a super-3 number, since 3×1322130021033 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213002101) 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, 29254878 + ... + 29259396.

It is an arithmetic number, because the mean of its divisors is an integer number (2476146400).

Almost surely, 2132213002103 is an apocalyptic number.

132213002103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132213002103 is a deficient number, since it is larger than the sum of its proper divisors (105497052297).

132213002103 is a wasteful number, since it uses less digits than its factorization.

132213002103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132213002103 its reverse (301200312231), we get a palindrome (433413314334).

The spelling of 132213002103 in words is "one hundred thirty-two billion, two hundred thirteen million, two thousand, one hundred three".

Divisors: 1 3 7 9 13 21 39 63 91 117 139 257 273 417 771 819 973 1251 1799 1807 2313 2919 3341 4519 5397 5421 8757 10023 12649 13557 16191 16263 23387 30069 31633 35723 37947 40671 58747 70161 94899 107169 113841 176241 210483 250061 284697 321507 411229 464399 528723 628141 750183 1161383 1233687 1393197 1884423 2250549 3250793 3484149 3701061 4179591 4396987 5653269 8129681 8165833 9752379 10452447 13190961 15097979 24389043 24497499 29257137 39572883 45293937 57160831 73167129 73492497 105685853 135881811 161432237 171482493 317057559 484296711 514447479 951172677 1130025659 1452890133 2098619081 3390076977 6295857243 10170230931 14690333567 18887571729 44071000701 132213002103