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11130102112 = 251931243443
BaseRepresentation
bin10100101110110011…
…11110000101100000
31001201200020202210011
422113121332011200
5140243301231422
65040232414304
7542546210203
oct122731760540
931650222704
1011130102112
1147a171a4a8
1221a7547394
131084b7a74c
1477829993a
154521dd077
hex29767e160

11130102112 has 144 divisors (see below), whose sum is σ = 24443052480. Its totient is φ = 4972181760.

The previous prime is 11130102043. The next prime is 11130102121. The reversal of 11130102112 is 21120103111.

It is a happy number.

11130102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11130102092 and 11130102101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25124163 + ... + 25124605.

It is an arithmetic number, because the mean of its divisors is an integer number (169743420).

Almost surely, 211130102112 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 11130102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221526240).

11130102112 is an abundant number, since it is smaller than the sum of its proper divisors (13312950368).

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

11130102112 is a wasteful number, since it uses less digits than its factorization.

11130102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11130102112 its reverse (21120103111), we get a palindrome (32250205223).

Subtracting 11130102112 from its reverse (21120103111), we obtain a palindrome (9990000999).

The spelling of 11130102112 in words is "eleven billion, one hundred thirty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 43 62 76 86 124 152 172 248 304 344 443 496 589 608 688 817 886 961 992 1178 1333 1376 1634 1772 1922 2356 2666 3268 3544 3844 4712 5332 6536 7088 7688 8417 9424 10664 13072 13733 14176 15376 16834 18259 18848 19049 21328 25327 26144 27466 30752 33668 36518 38098 41323 42656 50654 54932 67336 73036 76196 82646 101308 109864 134672 146072 152392 165292 202616 219728 260927 269344 292144 304784 330584 361931 405232 425723 439456 521854 584288 590519 609568 661168 723862 785137 810464 851446 1043708 1181038 1322336 1447724 1570274 1702892 2087416 2362076 2895448 3140548 3405784 4174832 4724152 5790896 6281096 6811568 8088737 8349664 9448304 11219861 11581792 12562192 13623136 16177474 18306089 18896608 22439722 25124384 32354948 36612178 44879444 64709896 73224356 89758888 129419792 146448712 179517776 258839584 292897424 347815691 359035552 585794848 695631382 1391262764 2782525528 5565051056 11130102112