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111000012112 = 2411331383439
BaseRepresentation
bin110011101100000011…
…1011100010101010000
3101121111210002212002201
41213120013130111100
53304312000341422
6122554231252544
711006453351443
oct1473007342520
9347453085081
10111000012112
1143090682000
121961981a154
13a60c73c752
14552dd3565a
152d49ccc727
hex19d81dc550

111000012112 has 160 divisors (see below), whose sum is σ = 245378580480. Its totient is φ = 48588566400.

The previous prime is 111000012107. The next prime is 111000012113. The reversal of 111000012112 is 211210000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252847189 + ... + 252847627.

It is an arithmetic number, because the mean of its divisors is an integer number (1533616128).

Almost surely, 2111000012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122689290240).

111000012112 is an abundant number, since it is smaller than the sum of its proper divisors (134378568368).

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

111000012112 is a wasteful number, since it uses less digits than its factorization.

111000012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111000012112 its reverse (211210000111), we get a palindrome (322210012223).

The spelling of 111000012112 in words is "one hundred eleven billion, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 383 439 484 496 682 766 878 968 1331 1364 1532 1756 1936 2662 2728 3064 3512 3751 4213 4829 5324 5456 6128 7024 7502 8426 9658 10648 11873 13609 15004 16852 19316 21296 23746 27218 30008 33704 38632 41261 46343 47492 53119 54436 60016 67408 77264 82522 92686 94984 106238 108872 130603 149699 165044 168137 185372 189968 212476 217744 261206 299398 330088 336274 370744 424952 509773 522412 584309 598796 660176 672548 741488 849904 1019546 1044824 1168618 1197592 1345096 1436633 1646689 1849507 2039092 2089648 2337236 2395184 2690192 2873266 3293378 3699014 4078184 4674472 5212247 5746532 6586756 7398028 8156368 9348944 10424494 11493064 13173512 14796056 15802963 18113579 20344577 20848988 22986128 26347024 29592112 31605926 36227158 40689154 41697976 57334717 63211852 72454316 81378308 83395952 114669434 126423704 144908632 162756616 223790347 229338868 252847408 289817264 325513232 447580694 458677736 630681887 895161388 917355472 1261363774 1790322776 2522727548 3580645552 5045455096 6937500757 10090910192 13875001514 27750003028 55500006056 111000012112