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10114238232 = 2333719352069
BaseRepresentation
bin10010110101101101…
…10000011100011000
3222002212201112112000
421122312300130120
5131203221110412
64351343121000
7505432415010
oct113266603430
928085645460
1010114238232
11432025097a
121b632a3160
13c52577967
146bd3bcc40
153e2e264dc
hex25adb0718

10114238232 has 128 divisors (see below), whose sum is σ = 33798720000. Its totient is φ = 2737680768.

The previous prime is 10114238227. The next prime is 10114238263. The reversal of 10114238232 is 23283241101.

10114238232 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 423 + 8 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10114238196 and 10114238205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147307 + ... + 204762.

It is an arithmetic number, because the mean of its divisors is an integer number (264052500).

Almost surely, 210114238232 is an apocalyptic number.

10114238232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10114238232 is an abundant number, since it is smaller than the sum of its proper divisors (23684481768).

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

10114238232 is a wasteful number, since it uses less digits than its factorization.

10114238232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352110 (or 352100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10114238232 its reverse (23283241101), we get a palindrome (33397479333).

The spelling of 10114238232 in words is "ten billion, one hundred fourteen million, two hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 352069 704138 1056207 1408276 2112414 2464483 2816552 3168621 4224828 4928966 6337242 6689311 7393449 8449656 9505863 9857932 12674484 13378622 14786898 19011726 19715864 20067933 22180347 25348968 26757244 29573796 38023452 40135866 44360694 46825177 53514488 59147592 60203799 66541041 76046904 80271732 88721388 93650354 120407598 133082082 140475531 160543464 177442776 180611397 187300708 240815196 266164164 280951062 361222794 374601416 421426593 481630392 532328328 561902124 722445588 842853186 1123804248 1264279779 1444891176 1685706372 2528559558 3371412744 5057119116 10114238232