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101233233234 = 23272943644297
BaseRepresentation
bin101111001000111111…
…0001000110101010010
3100200022010012002012200
41132101332020311102
53124311201430414
6114301135304030
710212440166450
oct1362176106522
9320263162180
10101233233234
1139a29580521
121775297b016
13971416b753
144c84b619d0
15297763c109
hex1791f88d52

101233233234 has 96 divisors (see below), whose sum is σ = 265347688320. Its totient is φ = 27276915456.

The previous prime is 101233233223. The next prime is 101233233313. The reversal of 101233233234 is 432332332101.

101233233234 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 332 + 3 + 323 + 4 = 666.

It is a super-2 number, since 2×1012332332342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233233198 and 101233233207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165027 + ... + 479270.

It is an arithmetic number, because the mean of its divisors is an integer number (2764038420).

Almost surely, 2101233233234 is an apocalyptic number.

101233233234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101233233234 is an abundant number, since it is smaller than the sum of its proper divisors (164114455086).

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

101233233234 is a wasteful number, since it uses less digits than its factorization.

101233233234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644384 (or 644381 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 101233233234 its reverse (432332332101), we get a palindrome (533565565335).

The spelling of 101233233234 in words is "one hundred one billion, two hundred thirty-three million, two hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 43 58 63 86 87 126 129 174 203 258 261 301 387 406 522 602 609 774 903 1218 1247 1806 1827 2494 2709 3654 3741 5418 7482 8729 11223 17458 22446 26187 52374 78561 157122 644297 1288594 1932891 3865782 4510079 5798673 9020158 11597346 13530237 18684613 27060474 27704771 37369226 40590711 55409542 56053839 81181422 83114313 112107678 130792291 166228626 168161517 193933397 249342939 261584582 336323034 387866794 392376873 498685878 581800191 784753746 803438359 1163600382 1177130619 1606876718 1745400573 2354261238 2410315077 3490801146 4820630154 5624068513 7230945231 11248137026 14461890462 16872205539 33744411078 50616616617 101233233234