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22131404401200 = 2435232713563777
BaseRepresentation
bin1010000100000110111100…
…11111110110101000110000
32220100202000121212120111220
411002003132133312220300
510400100104011314300
6115023005443305040
74442640555350313
oct502033637665060
986322017776456
1022131404401200
11706296a9023a6
12259526a67b180
13c46ca067c753
1456724691297a
15285a4e13ada0
hex1420de7f6a30

22131404401200 has 120 divisors (see below), whose sum is σ = 70896558343248. Its totient is φ = 5901516963840.

The previous prime is 22131404401193. The next prime is 22131404401219. The reversal of 22131404401200 is 210440413122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×221314044012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38973712 + ... + 39537488.

Almost surely, 222131404401200 is an apocalyptic number.

22131404401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131404401200 is an abundant number, since it is smaller than the sum of its proper divisors (48765153942048).

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

22131404401200 is a wasteful number, since it uses less digits than its factorization.

22131404401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596511 (or 596500 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22131404401200 its reverse (210440413122), we get a palindrome (22341844814322).

The spelling of 22131404401200 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred four million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 32713 65426 98139 130852 163565 196278 261704 327130 392556 490695 523408 563777 654260 785112 817825 981390 1127554 1308520 1570224 1635650 1691331 1962780 2255108 2453475 2617040 2818885 3271300 3382662 3925560 4510216 4906950 5637770 6542600 6765324 7851120 8456655 9020432 9813900 11275540 13085200 13530648 14094425 16913310 19627800 22551080 27061296 28188850 33826620 39255600 42283275 45102160 56377700 67653240 84566550 112755400 135306480 169133100 225510800 338266200 676532400 18442837001 36885674002 55328511003 73771348004 92214185005 110657022006 147542696008 184428370010 221314044012 276642555015 295085392016 368856740020 442628088024 461070925025 553285110030 737713480040 885256176048 922141850050 1106570220060 1383212775075 1475426960080 1844283700100 2213140440120 2766425550150 3688567400200 4426280880240 5532851100300 7377134800400 11065702200600 22131404401200