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13532300145 = 32571328311677
BaseRepresentation
bin11001001101001011…
…01000001101110001
31021221002102001222200
430212211220031301
5210203232101040
610114444053413
7656225440050
oct144645501561
937832361880
1013532300145
1158146a3431
122757b34269
1313787559c0
1492532c397
1554304a630
hex326968371

13532300145 has 96 divisors (see below), whose sum is σ = 28973398272. Its totient is φ = 5689668096.

The previous prime is 13532300129. The next prime is 13532300147. The reversal of 13532300145 is 54100323531.

13532300145 is a `hidden beast` number, since 1 + 353 + 2 + 300 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 13532300145 - 24 = 13532300129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13532300147) 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, 1153047 + ... + 1164723.

It is an arithmetic number, because the mean of its divisors is an integer number (301806232).

Almost surely, 213532300145 is an apocalyptic number.

13532300145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13532300145 is an abundant number, since it is smaller than the sum of its proper divisors (15441098127).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13532300145 is a wasteful number, since it uses less digits than its factorization.

13532300145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13532300145 its reverse (54100323531), we get a palindrome (67632623676).

The spelling of 13532300145 in words is "thirteen billion, five hundred thirty-two million, three hundred thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 283 315 455 585 819 849 1365 1415 1981 2547 3679 4095 4245 5943 9905 11037 11677 12735 17829 18395 25753 29715 33111 35031 55185 58385 77259 81739 89145 105093 128765 151801 165555 175155 231777 245217 386295 408695 455403 525465 735651 759005 1062607 1158885 1226085 1366209 2277015 3187821 3304591 3678255 5313035 6831045 9563463 9913773 15939105 16522955 23132137 29741319 42959683 47817315 49568865 69396411 115660685 128879049 148706595 208189233 214798415 300717781 346982055 386637147 644395245 902153343 1040946165 1503588905 1933185735 2706460029 4510766715 13532300145