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11112032200 = 23521917316903
BaseRepresentation
bin10100101100101010…
…00010011111001000
31001200102020201112011
422112111002133020
5140224140012300
65034345225304
7542236500223
oct122625023710
931612221464
1011112032200
1147924a8295
1221a1492234
1310811c19a9
14775b145ba
1545081deba
hex2965427c8

11112032200 has 96 divisors (see below), whose sum is σ = 27354052800. Its totient is φ = 4186287360.

The previous prime is 11112032137. The next prime is 11112032203. The reversal of 11112032200 is 223021111.

It is a super-2 number, since 2×111120322002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11112032203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648949 + ... + 665851.

It is an arithmetic number, because the mean of its divisors is an integer number (284938050).

Almost surely, 211112032200 is an apocalyptic number.

11112032200 is a gapful number since it is divisible by the number (10) 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 11112032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677026400).

11112032200 is an abundant number, since it is smaller than the sum of its proper divisors (16242020600).

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

11112032200 is a wasteful number, since it uses less digits than its factorization.

11112032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11112032200 its reverse (223021111), we get a palindrome (11335053311).

The spelling of 11112032200 in words is "eleven billion, one hundred twelve million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 173 190 200 346 380 475 692 760 865 950 1384 1730 1900 3287 3460 3800 4325 6574 6920 8650 13148 16435 16903 17300 26296 32870 33806 34600 65740 67612 82175 84515 131480 135224 164350 169030 321157 328700 338060 422575 642314 657400 676120 845150 1284628 1605785 1690300 2569256 2924219 3211570 3380600 5848438 6423140 8028925 11696876 12846280 14621095 16057850 23393752 29242190 32115700 55560161 58484380 64231400 73105475 111120322 116968760 146210950 222240644 277800805 292421900 444481288 555601610 584843800 1111203220 1389004025 2222406440 2778008050 5556016100 11112032200