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11132310223200 = 2535236899125707
BaseRepresentation
bin1010000111111111000101…
…1001010111100101100000
31110102020102211200102101110
42201333301121113211200
52424342432404120300
635402040202503320
72226166011421305
oct241776131274540
943366384612343
1011132310223200
1136022059a1a11
1212b9624204b40
13629a06b1005a
142a6b417b10ac
1514489c25d550
hexa1ff1657960

11132310223200 has 144 divisors (see below), whose sum is σ = 36236940062400. Its totient is φ = 2968511992320.

The previous prime is 11132310223169. The next prime is 11132310223207. The reversal of 11132310223200 is 232201323111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132310223207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88494747 + ... + 88620453.

It is an arithmetic number, because the mean of its divisors is an integer number (251645417100).

Almost surely, 211132310223200 is an apocalyptic number.

11132310223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132310223200 is an abundant number, since it is smaller than the sum of its proper divisors (25104629839200).

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

11132310223200 is a wasteful number, since it uses less digits than its factorization.

11132310223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162629 (or 162616 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11132310223200 its reverse (232201323111), we get a palindrome (11364511546311).

The spelling of 11132310223200 in words is "eleven trillion, one hundred thirty-two billion, three hundred ten million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 36899 73798 110697 125707 147596 184495 221394 251414 295192 368990 377121 442788 502828 553485 590384 628535 737980 754242 885576 922475 1005656 1106970 1180768 1257070 1475960 1508484 1771152 1844950 1885605 2011312 2213940 2514140 2767425 2951920 3016968 3142675 3542304 3689900 3771210 4022624 4427880 5028280 5534850 5903840 6033936 6285350 7379800 7542420 8855760 9428025 10056560 11069700 12067872 12570700 14759600 15084840 17711520 18856050 20113120 22139400 25141400 29519200 30169680 37712100 44278800 50282800 60339360 75424200 88557600 100565600 150848400 301696800 4638462593 9276925186 13915387779 18553850372 23192312965 27830775558 37107700744 46384625930 55661551116 69576938895 74215401488 92769251860 111323102232 115961564825 139153877790 148430802976 185538503720 222646204464 231923129650 278307755580 347884694475 371077007440 445292408928 463846259300 556615511160 695769388950 742154014880 927692518600 1113231022320 1391538777900 1855385037200 2226462044640 2783077555800 3710770074400 5566155111600 11132310223200