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234042042201003 = 32234389901332779
BaseRepresentation
bin110101001101110000101000…
…110010011011001110101011
31010200200012102022211121121100
4311031300220302123032223
5221134021100300413003
62145433232505012443
7100203656661565551
oct6515605062331653
91120605368747540
10234042042201003
11686337443a4933
12222baaba484123
13a0790ba6aaa6a
1441b19a3bddbd1
151c0ce85c56ba3
hexd4dc28c9b3ab

234042042201003 has 96 divisors (see below), whose sum is σ = 365070115238400. Its totient is φ = 144115113364992.

The previous prime is 234042042200971. The next prime is 234042042201043. The reversal of 234042042201003 is 300102240240432.

234042042201003 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 420 + 4 + 220 + 10 + 0 + 3 = 666.

It is not a de Polignac number, because 234042042201003 - 25 = 234042042200971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234042042201043) 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, 7139983068 + ... + 7140015846.

It is an arithmetic number, because the mean of its divisors is an integer number (3802813700400).

Almost surely, 2234042042201003 is an apocalyptic number.

234042042201003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

234042042201003 is a deficient number, since it is larger than the sum of its proper divisors (131028073037397).

234042042201003 is a wasteful number, since it uses less digits than its factorization.

234042042201003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41953 (or 41950 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 234042042201003 its reverse (300102240240432), we get a palindrome (534144282441435).

The spelling of 234042042201003 in words is "two hundred thirty-four trillion, forty-two billion, forty-two million, two hundred one thousand, three".

Divisors: 1 3 9 23 43 69 89 129 207 267 387 801 989 2047 2967 3827 6141 8901 9013 11481 18423 27039 32779 34443 81117 88021 98337 207299 264063 295011 387559 621897 753917 792189 802157 1162677 1409497 1865691 2261751 2406471 2917331 3488031 4228491 6785253 7219413 8751993 8913857 12685473 18449611 26255979 26741571 32418431 34492751 55348833 67098613 80224713 97255293 103478253 125445233 166046499 201295839 291765879 295437127 310434759 376335699 603887517 793333273 886311381 1129007097 2379999819 2658934143 2885240359 6795053921 7139999457 8655721077 12703796461 20385161763 25967163231 26293904303 38111389383 61155485289 78881712909 114334168149 236645138727 292187318603 604759798969 876561955809 1130637885029 1814279396907 2629685867427 3391913655087 5442838190721 10175740965261 26004671355667 78014014067001 234042042201003