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11324412300 = 223521719116867
BaseRepresentation
bin10101000101111110…
…01101000110001100
31002020012212202020210
422202333031012030
5141143022143200
65111413242420
7550425626205
oct124277150614
932205782223
1011324412300
114891376633
122240633410
1310b61c1ca6
14795dda5ac
154642c1650
hex2a2fcd18c

11324412300 has 144 divisors (see below), whose sum is σ = 36518912640. Its totient is φ = 2692592640.

The previous prime is 11324412299. The next prime is 11324412301. The reversal of 11324412300 is 321442311.

11324412300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11324412299) and next prime (11324412301).

It is not an unprimeable number, because it can be changed into a prime (11324412301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38467 + ... + 155333.

It is an arithmetic number, because the mean of its divisors is an integer number (253603560).

Almost surely, 211324412300 is an apocalyptic number.

11324412300 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 11324412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18259456320).

11324412300 is an abundant number, since it is smaller than the sum of its proper divisors (25194500340).

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

11324412300 is a wasteful number, since it uses less digits than its factorization.

11324412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116920 (or 116913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11324412300 its reverse (321442311), we get a palindrome (11645854611).

The spelling of 11324412300 in words is "eleven billion, three hundred twenty-four million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 96900 116867 233734 350601 467468 584335 701202 1168670 1402404 1753005 1986739 2220473 2337340 2921675 3506010 3973478 4440946 5843350 5960217 6661419 7012020 7946956 8765025 8881892 9933695 11102365 11686700 11920434 13322838 17530050 19867390 22204730 23840868 26645676 29801085 33307095 35060100 37748041 39734780 44409460 49668475 55511825 59602170 66614190 75496082 99336950 111023650 113244123 119204340 133228380 149005425 150992164 166535475 188740205 198673900 222047300 226488246 298010850 333070950 377480410 452976492 566220615 596021700 666141900 754960820 943701025 1132441230 1887402050 2264882460 2831103075 3774804100 5662206150 11324412300