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11056310118 = 2327267223839
BaseRepresentation
bin10100100110000000…
…11110011101100110
31001112112101202012100
422103000132131212
5140120403410433
65025035032530
7540662041200
oct122300363546
931475352170
1011056310118
114763aa9487
12218689b746
1310727b1c49
1476c56b770
1544a9b3b13
hex29301e766

11056310118 has 144 divisors (see below), whose sum is σ = 28443018240. Its totient is φ = 3094150752.

The previous prime is 11056310101. The next prime is 11056310143. The reversal of 11056310118 is 81101365011.

It is a happy number.

11056310118 is a `hidden beast` number, since 1 + 10 + 5 + 631 + 0 + 1 + 18 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11056310091 and 11056310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13177543 + ... + 13178381.

It is an arithmetic number, because the mean of its divisors is an integer number (197520960).

Almost surely, 211056310118 is an apocalyptic number.

11056310118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056310118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

11056310118 is an abundant number, since it is smaller than the sum of its proper divisors (17386708122).

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

11056310118 is a wasteful number, since it uses less digits than its factorization.

11056310118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 11056310118 its reverse (81101365011), we get a palindrome (92157675129).

The spelling of 11056310118 in words is "eleven billion, fifty-six million, three hundred ten thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 223 294 402 441 446 469 603 669 839 882 938 1206 1338 1407 1561 1678 2007 2517 2814 3122 3283 4014 4221 4683 5034 5873 6566 7551 8442 9366 9849 10927 11746 14049 14941 15102 17619 19698 21854 28098 29547 29882 32781 35238 41111 44823 52857 56213 59094 65562 82222 89646 98343 104587 105714 112426 123333 134469 168639 187097 196686 209174 246666 268938 313761 337278 369999 374194 393491 505917 561291 627522 732109 739998 786982 941283 1011834 1122582 1180473 1309679 1464218 1683873 1882566 2196327 2360946 2619358 2754437 3367746 3541419 3929037 4392654 5508874 6588981 7082838 7858074 8263311 9167753 11787111 12535499 13177962 16526622 18335506 23574222 24789933 25070998 27503259 37606497 49579866 55006518 75212994 82509777 87748493 112819491 165019554 175496986 225638982 263245479 526490958 614239451 789736437 1228478902 1579472874 1842718353 3685436706 5528155059 11056310118