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11411303112 = 23331131154927
BaseRepresentation
bin10101010000010101…
…01010101011001000
31002110021101021001000
422220022222223020
5141332243144422
65124155455000
7552532322166
oct125012525310
932407337030
1011411303112
114926423a20
122265757460
1310cb1c5981
147a3778236
1546bc36cac
hex2a82aaac8

11411303112 has 128 divisors (see below), whose sum is σ = 35695411200. Its totient is φ = 3346401600.

The previous prime is 11411303087. The next prime is 11411303129. The reversal of 11411303112 is 21130311411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808 + ... + 151119.

It is an arithmetic number, because the mean of its divisors is an integer number (278870400).

Almost surely, 211411303112 is an apocalyptic number.

11411303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847705600).

11411303112 is an abundant number, since it is smaller than the sum of its proper divisors (24284108088).

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

11411303112 is a wasteful number, since it uses less digits than its factorization.

11411303112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154984 (or 154974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11411303112 its reverse (21130311411), we get a palindrome (32541614523).

The spelling of 11411303112 in words is "eleven billion, four hundred eleven million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 154927 309854 464781 619708 929562 1239416 1394343 1704197 1859124 2788686 3408394 3718248 4183029 4802737 5112591 5577372 6816788 8366058 9605474 10225182 11154744 13633576 14408211 15337773 16732116 19210948 20450364 28816422 30675546 33464232 38421896 40900728 43224633 46013319 52830107 57632844 61351092 86449266 92026638 105660214 115265688 122702184 129673899 158490321 172898532 184053276 211320428 259347798 316980642 345797064 368106552 422640856 475470963 518695596 633961284 950941926 1037391192 1267922568 1426412889 1901883852 2852825778 3803767704 5705651556 11411303112