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11312110101222 = 2347199101949193
BaseRepresentation
bin1010010010011100111001…
…0011011110001011100110
31111001102112101212120220000
42210213032103132023212
52440314200141214342
640020413414122130
72245162430235360
oct244471623361346
944042471776800
1011312110101222
113671491278527
121328442950346
1364095c156918
142b171ab95d30
151493c20d644c
hexa49ce4de2e6

11312110101222 has 160 divisors (see below), whose sum is σ = 29143312704000. Its totient is φ = 3212568957312.

The previous prime is 11312110101209. The next prime is 11312110101239. The reversal of 11312110101222 is 22210101121311.

It is a happy number.

11312110101222 is a `hidden beast` number, since 1 + 131 + 211 + 0 + 101 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312110101195 and 11312110101204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229929058 + ... + 229978250.

It is an arithmetic number, because the mean of its divisors is an integer number (182145704400).

Almost surely, 211312110101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312110101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14571656352000).

11312110101222 is an abundant number, since it is smaller than the sum of its proper divisors (17831202602778).

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

11312110101222 is a wasteful number, since it uses less digits than its factorization.

11312110101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50432 (or 50423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11312110101222 its reverse (22210101121311), we get a palindrome (33522211222533).

The spelling of 11312110101222 in words is "eleven trillion, three hundred twelve billion, one hundred ten million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 199 378 398 567 597 1019 1134 1194 1393 1791 2038 2786 3057 3582 4179 5373 6114 7133 8358 9171 10746 12537 14266 16119 18342 21399 25074 27513 32238 37611 42798 49193 55026 64197 75222 82539 98386 112833 128394 147579 165078 192591 202781 225666 295158 344351 385182 405562 442737 577773 608343 688702 885474 1033053 1155546 1216686 1328211 1419467 1825029 2066106 2656422 2838934 3099159 3650058 3984633 4258401 5475087 6198318 7969266 8516802 9297477 9789407 10950174 12775203 16425261 18594954 19578814 25550406 27892431 29368221 32850522 38325609 50127667 55784862 58736442 68525849 76651218 88104663 100255334 114976827 137051698 150383001 176209326 205577547 229953654 264313989 300766002 350893669 411155094 451149003 528627978 616732641 701787338 792941967 902298006 1052681007 1233465282 1353447009 1585883934 1850197923 2105362014 2706894018 3158043021 3700395846 4060341027 5550593769 6316086042 8120682054 9474129063 9975405733 11101187538 18948258126 19950811466 28422387189 29926217199 56844774378 59852434398 69827840131 89778651597 139655680262 179557303194 209483520393 269335954791 418967040786 538671909582 628450561179 808007864373 1256901122358 1616015728746 1885351683537 3770703367074 5656055050611 11312110101222