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110011121111112 = 233131921577860077
BaseRepresentation
bin11001000000110111110101…
…110010111001000001001000
3112102111221221011212202120020
4121000313311302321001020
5103404410234001023422
61025550224503500440
732113020064432164
oct3100676562710110
9472457834782506
10110011121111112
11320644aa979611
1210408a85a57720
134950009321690
141d247d0d39ca4
15cab995c2695c
hex640df5cb9048

110011121111112 has 128 divisors (see below), whose sum is σ = 311787219811200. Its totient is φ = 32066495612928.

The previous prime is 110011121111077. The next prime is 110011121111113. The reversal of 110011121111112 is 211111121110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110011121111091 and 110011121111100.

It is not an unprimeable number, because it can be changed into a prime (110011121111113) 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, 127478418 + ... + 128338494.

It is an arithmetic number, because the mean of its divisors is an integer number (2435837654775).

Almost surely, 2110011121111112 is an apocalyptic number.

110011121111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110011121111112 is an abundant number, since it is smaller than the sum of its proper divisors (201776098700088).

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

110011121111112 is a wasteful number, since it uses less digits than its factorization.

110011121111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881695 (or 881691 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 110011121111112 its reverse (211111121110011), we get a palindrome (321122242221123).

The spelling of 110011121111112 in words is "one hundred ten trillion, eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 21577 43154 64731 86308 129462 172616 258924 280501 409963 517848 561002 819926 841503 860077 1122004 1229889 1639852 1683006 1720154 2244008 2459778 2580231 3279704 3366012 3440308 4919556 5160462 5329519 6732024 6880616 9839112 10320924 10659038 11181001 15988557 16341463 20641848 21318076 22362002 31977114 32682926 33543003 42636152 44724004 49024389 63954228 65365852 67086006 89448008 98048778 127908456 130731704 134172012 196097556 212439019 268344024 392195112 424878038 637317057 849756076 1274634114 1699512152 2549268228 5098536456 18557881429 37115762858 55673644287 74231525716 111347288574 148463051432 222694577148 241252458577 352599747151 445389154296 482504917154 705199494302 723757375731 965009834308 1057799241453 1410398988604 1447514751462 1930019668616 2115598482906 2820797977208 2895029502924 4231196965812 4583796712963 5790059005848 8462393931624 9167593425926 13751390138889 18335186851852 27502780277778 36670373703704 55005560555556 110011121111112