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10042103314122 = 23111912113775417
BaseRepresentation
bin1001001000100001110000…
…0000000011011011001010
31022120000102110001012212220
42102020130000003123022
52304012211422022442
633205140101114510
72054342452534245
oct222103400033312
938500373035786
1010042103314122
1132219175840a0
1211622880b8a36
1357ac73bb9249
1426a07cbaa25c
151263413e8eec
hex9221c0036ca

10042103314122 has 64 divisors (see below), whose sum is σ = 22129144455168. Its totient is φ = 3012781968000.

The previous prime is 10042103314121. The next prime is 10042103314141. The reversal of 10042103314122 is 22141330124001.

It is a junction number, because it is equal to n+sod(n) for n = 10042103314092 and 10042103314101.

It is not an unprimeable number, because it can be changed into a prime (10042103314121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772158 + ... + 4547574.

It is an arithmetic number, because the mean of its divisors is an integer number (345767882112).

Almost surely, 210042103314122 is an apocalyptic number.

10042103314122 is an abundant number, since it is smaller than the sum of its proper divisors (12087041141046).

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

10042103314122 is a wasteful number, since it uses less digits than its factorization.

10042103314122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775835.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10042103314122 its reverse (22141330124001), we get a palindrome (32183433438123).

The spelling of 10042103314122 in words is "ten trillion, forty-two billion, one hundred three million, three hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 191 211 382 422 573 633 1146 1266 2101 2321 4202 4642 6303 6963 12606 13926 40301 80602 120903 241806 443311 886622 1329933 2659866 3775417 7550834 11326251 22652502 41529587 83059174 124588761 249177522 721104647 796612987 1442209294 1593225974 2163313941 2389838961 4326627882 4779677922 7932151117 8762742857 15864302234 17525485714 23796453351 26288228571 47592906702 52576457142 152153080517 304306161034 456459241551 912918483102 1673683885687 3347367771374 5021051657061 10042103314122