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102443133321 = 34193710091783
BaseRepresentation
bin101111101101000010…
…1100010100110001001
3100210102102211101010000
41133122011202212021
53134300420231241
6115021155513213
710254431160114
oct1373205424611
9323372741100
10102443133321
113a49a529351
1217a2bbb8809
139877a1b169
144d5b70b57b
1529e8980eb6
hex17da162989

102443133321 has 80 divisors (see below), whose sum is σ = 165697206400. Its totient is φ = 62854589952.

The previous prime is 102443133311. The next prime is 102443133347. The reversal of 102443133321 is 123331344201.

It is a happy number.

102443133321 is a `hidden beast` number, since 1 + 0 + 24 + 4 + 313 + 3 + 321 = 666.

It is not a de Polignac number, because 102443133321 - 26 = 102443133257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102443133311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57454596 + ... + 57456378.

It is an arithmetic number, because the mean of its divisors is an integer number (2071215080).

Almost surely, 2102443133321 is an apocalyptic number.

It is an amenable number.

102443133321 is a deficient number, since it is larger than the sum of its proper divisors (63254073079).

102443133321 is a wasteful number, since it uses less digits than its factorization.

102443133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102443133321 its reverse (123331344201), we get a palindrome (225774477522).

The spelling of 102443133321 in words is "one hundred two billion, four hundred forty-three million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 19 27 37 57 81 111 171 333 513 703 999 1009 1539 1783 2109 2997 3027 5349 6327 9081 16047 18981 19171 27243 33877 37333 48141 56943 57513 65971 81729 101631 111999 144423 172539 197913 304893 335997 517617 593739 709327 914679 1007991 1253449 1552851 1781217 1799047 2127981 2744037 3023973 3760347 5343651 5397141 6383943 11281041 16191423 19151829 33843123 34181893 48574269 57455487 66564739 101529369 102545679 145722807 199694217 307637037 599082651 922911111 1264730041 1797247953 2768733333 3794190123 5391743859 11382570369 34147711107 102443133321