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11232200112 = 2437375317047
BaseRepresentation
bin10100111010111110…
…11100010110110000
31001222210100212220120
422131133130112300
5141000420400422
65054321010240
7545226061050
oct123537342660
931883325816
1011232200112
114844314211
122215783980
1310a0077173
14787a75560
1545b15945c
hex29d7dc5b0

11232200112 has 160 divisors (see below), whose sum is σ = 34702636032. Its totient is φ = 3063370752.

The previous prime is 11232200027. The next prime is 11232200117. The reversal of 11232200112 is 21100223211.

It is a junction number, because it is equal to n+sod(n) for n = 11232200091 and 11232200100.

It is not an unprimeable number, because it can be changed into a prime (11232200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650373 + ... + 667419.

Almost surely, 211232200112 is an apocalyptic number.

11232200112 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 11232200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351318016).

11232200112 is an abundant number, since it is smaller than the sum of its proper divisors (23470435920).

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

11232200112 is a wasteful number, since it uses less digits than its factorization.

11232200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155 (or 17149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11232200112 its reverse (21100223211), we get a palindrome (32332423323).

The spelling of 11232200112 in words is "eleven billion, two hundred thirty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 53 56 74 84 106 111 112 148 159 168 212 222 259 296 318 336 371 424 444 518 592 636 742 777 848 888 1036 1113 1272 1484 1554 1776 1961 2072 2226 2544 2968 3108 3922 4144 4452 5883 5936 6216 7844 8904 11766 12432 13727 15688 17047 17808 23532 27454 31376 34094 41181 47064 51141 54908 68188 82362 94128 102282 109816 119329 136376 164724 204564 219632 238658 272752 329448 357987 409128 477316 630739 658896 715974 818256 903491 954632 1261478 1431948 1806982 1892217 1909264 2522956 2710473 2863896 3613964 3784434 4415173 5045912 5420946 5727792 6324437 7227928 7568868 8830346 10091824 10841892 12648874 13245519 14455856 15137736 17660692 18973311 21683784 25297748 26491038 30275472 33429167 35321384 37946622 43367568 50595496 52982076 66858334 70642768 75893244 100287501 101190992 105964152 133716668 151786488 200575002 211928304 234004169 267433336 303572976 401150004 468008338 534866672 702012507 802300008 936016676 1404025014 1604600016 1872033352 2808050028 3744066704 5616100056 11232200112