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11122140014112 = 2534711321814277
BaseRepresentation
bin1010000111011001001100…
…1101000110011000100000
31110101021012001122021021210
42201312103031012120200
52424211120320422422
635353235055550120
72225355666160041
oct241662315063040
943337161567253
1011122140014112
1135a89670a2336
1212b766622b340
13628a75a9935a
142a6458bc28c8
151444a447d10c
hexa1d93346620

11122140014112 has 96 divisors (see below), whose sum is σ = 30080667762432. Its totient is φ = 3596388798464.

The previous prime is 11122140014071. The next prime is 11122140014113. The reversal of 11122140014112 is 21141004122111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111221400141122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122140014113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10397283 + ... + 11416994.

It is an arithmetic number, because the mean of its divisors is an integer number (313340289192).

Almost surely, 211122140014112 is an apocalyptic number.

11122140014112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122140014112 is an abundant number, since it is smaller than the sum of its proper divisors (18958527748320).

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

11122140014112 is a wasteful number, since it uses less digits than its factorization.

11122140014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21814450 (or 21814442 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 11122140014112 its reverse (21141004122111), we get a palindrome (32263144136223).

The spelling of 11122140014112 in words is "eleven trillion, one hundred twenty-two billion, one hundred forty million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 113 141 188 226 282 339 376 452 564 678 752 904 1128 1356 1504 1808 2256 2712 3616 4512 5311 5424 10622 10848 15933 21244 31866 42488 63732 84976 127464 169952 254928 509856 21814277 43628554 65442831 87257108 130885662 174514216 261771324 349028432 523542648 698056864 1025271019 1047085296 2050542038 2094170592 2465013301 3075813057 4101084076 4930026602 6151626114 7395039903 8202168152 9860053204 12303252228 14790079806 16404336304 19720106408 24606504456 29580159612 32808672608 39440212816 49213008912 59160319224 78880425632 98426017824 115855625147 118320638448 231711250294 236641276896 347566875441 463422500588 695133750882 926845001176 1390267501764 1853690002352 2780535003528 3707380004704 5561070007056 11122140014112