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111011122020012 = 223297319122878683
BaseRepresentation
bin11001001111011011001010…
…011111100111111010101100
3112120001120002222000100211020
4121033123022133213322230
5104022301234214120022
61032033445545454140
732245201043055114
oct3117331237477254
9476046088010736
10111011122020012
113240a609365365
121054a8481a1350
1349c33c4847b16
141d5ad7753c044
15cc79c25bc35c
hex64f6ca7e7eac

111011122020012 has 96 divisors (see below), whose sum is σ = 273050687508480. Its totient is φ = 35053801413120.

The previous prime is 111011122019911. The next prime is 111011122020047. The reversal of 111011122020012 is 210020221110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111011122019973 and 111011122020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6587178 + ... + 16291505.

It is an arithmetic number, because the mean of its divisors is an integer number (2844277994880).

Almost surely, 2111011122020012 is an apocalyptic number.

111011122020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011122020012 is an abundant number, since it is smaller than the sum of its proper divisors (162039565488468).

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

111011122020012 is a wasteful number, since it uses less digits than its factorization.

111011122020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22878983 (or 22878981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111011122020012 its reverse (210020221110111), we get a palindrome (321031343130123).

Subtracting 111011122020012 from its reverse (210020221110111), we obtain a palindrome (99009099090099).

The spelling of 111011122020012 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 146 174 191 219 292 348 382 438 573 764 876 1146 2117 2292 4234 5539 6351 8468 11078 12702 13943 16617 22156 25404 27886 33234 41829 55772 66468 83658 167316 404347 808694 1213041 1617388 2426082 4852164 22878683 45757366 68636049 91514732 137272098 274544196 663481807 1326963614 1670143859 1990445421 2653927228 3340287718 3980890842 4369828453 5010431577 6680575436 7961781684 8739656906 10020863154 13109485359 17479313812 20041726308 26218970718 48434171911 52437941436 96868343822 126725025137 145302515733 193736687644 253450050274 290605031466 318997477069 380175075411 506900100548 581210062932 637994954138 760350150822 956992431207 1275989908276 1520700301644 1913984862414 3827969724828 9250926835001 18501853670002 27752780505003 37003707340004 55505561010006 111011122020012