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10131223332312 = 23321913035683703
BaseRepresentation
bin1001001101101101101111…
…1101111100010111011000
31022212112110101002012220100
42103123123331330113120
52311442221133113222
633314115244255400
72063646105305205
oct223333375742730
938775411065810
1010131223332312
11325669a4a5895
1211775ba241560
135864a7603614
142704d4c7ccac
1512880a3a04ac
hex936dbf7c5d8

10131223332312 has 96 divisors (see below), whose sum is σ = 28905045062400. Its totient is φ = 3196877761728.

The previous prime is 10131223332173. The next prime is 10131223332323. The reversal of 10131223332312 is 21323332213101.

10131223332312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 12 + 2 + 3 + 332 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059348 + ... + 4624355.

It is an arithmetic number, because the mean of its divisors is an integer number (301094219400).

Almost surely, 210131223332312 is an apocalyptic number.

10131223332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131223332312 is an abundant number, since it is smaller than the sum of its proper divisors (18773821730088).

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

10131223332312 is a wasteful number, since it uses less digits than its factorization.

10131223332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685037 (or 5685030 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10131223332312 its reverse (21323332213101), we get a palindrome (31454555545413).

It can be divided in two parts, 1013122 and 3332312, that added together give a palindrome (4345434).

The spelling of 10131223332312 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty-three million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1303 1368 2606 3909 5212 7818 10424 11727 15636 23454 24757 31272 46908 49514 74271 93816 99028 148542 198056 222813 297084 445626 594168 891252 1782504 5683703 11367406 17051109 22734812 34102218 45469624 51153327 68204436 102306654 107990357 136408872 204613308 215980714 323971071 409226616 431961428 647942142 863922856 971913213 1295884284 1943826426 2591768568 3887652852 7405865009 7775305704 14811730018 22217595027 29623460036 44435190054 59246920072 66652785081 88870380108 133305570162 140711435171 177740760216 266611140324 281422870342 422134305513 533222280648 562845740684 844268611026 1125691481368 1266402916539 1688537222052 2532805833078 3377074444104 5065611666156 10131223332312