Search a number
-
+
1151104432023 = 3271331131346097
BaseRepresentation
bin10000110000000011001…
…010111011011110010111
311002001012110001220021100
4100300003022323132113
5122324430213311043
62240450550521143
7146110304142510
oct20600312733627
94061173056240
101151104432023
114041a9496187
121671126661b3
13847195bb070
143d9dc76ba07
151ee222a4cd3
hex10c032bb797

1151104432023 has 96 divisors (see below), whose sum is σ = 2128552538112. Its totient is φ = 583102540800.

The previous prime is 1151104432013. The next prime is 1151104432069. The reversal of 1151104432023 is 3202344011511.

1151104432023 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 10 + 443 + 202 + 3 = 666.

It is not a de Polignac number, because 1151104432023 - 210 = 1151104430999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151104432003) 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, 3152911 + ... + 3499007.

It is an arithmetic number, because the mean of its divisors is an integer number (22172422272).

Almost surely, 21151104432023 is an apocalyptic number.

1151104432023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1151104432023 is a deficient number, since it is larger than the sum of its proper divisors (977448106089).

1151104432023 is a wasteful number, since it uses less digits than its factorization.

1151104432023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346285 (or 346282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1151104432023 its reverse (3202344011511), we get a palindrome (4353448443534).

The spelling of 1151104432023 in words is "one trillion, one hundred fifty-one billion, one hundred four million, four hundred thirty-two thousand, twenty-three".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 131 217 273 279 393 403 651 819 917 1179 1209 1703 1953 2751 2821 3627 4061 5109 8253 8463 11921 12183 15327 25389 28427 35763 36549 52793 85281 107289 158379 255843 346097 369551 475137 1038291 1108653 2422679 3114873 3325959 4499261 7268037 10729007 13497783 21804111 31494827 32187021 40493349 45338707 75103049 94484481 96561063 136016121 139477091 225309147 283453443 317370949 408048363 418431273 589403191 675927441 952112847 976339637 1255293819 1405499917 1768209573 2856338541 2929018911 4125822337 4216499751 5304628719 8787056733 9838499419 12377467011 12649499253 18271498921 29515498257 37132401033 54814496763 88546494771 127900492447 164443490289 383701477341 1151104432023