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30010132221200 = 2452169358617561
BaseRepresentation
bin1101101001011010001110…
…10001010100110100010000
310221020221101201020220222222
412310231013101110310100
512413141222322034300
6143454244151520212
76215106024012545
oct664550721246420
9127227351226888
1030010132221200
11962025330488a
1234481b8689068
131398c35642201
1475a6d8ccabcc
153709745a3785
hex1b4b47454d10

30010132221200 has 120 divisors (see below), whose sum is σ = 72163781154696. Its totient is φ = 11993329152000.

The previous prime is 30010132221191. The next prime is 30010132221227. The reversal of 30010132221200 is 212223101003.

It can be written as a sum of positive squares in 12 ways, for example, as 14145301528576 + 15864830692624 = 3761024^2 + 3983068^2 .

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, 3969065420 + ... + 3969072980.

Almost surely, 230010132221200 is an apocalyptic number.

It is an amenable number.

30010132221200 is an abundant number, since it is smaller than the sum of its proper divisors (42153648933496).

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

30010132221200 is a wasteful number, since it uses less digits than its factorization.

30010132221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15133 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 30010132221200 its reverse (212223101003), we get a palindrome (30222355322203).

The spelling of 30010132221200 in words is "thirty trillion, ten billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1693 3386 5861 6772 7561 8465 11722 13544 15122 16930 23444 27088 29305 30244 33860 37805 42325 46888 58610 60488 67720 75610 84650 93776 117220 120976 135440 146525 151220 169300 189025 234440 293050 302440 338600 378050 468880 586100 604880 677200 756100 1172200 1512200 2344400 3024400 9922673 12800773 19845346 25601546 39690692 44315021 49613365 51203092 64003865 79381384 88630042 99226730 102406184 128007730 158762768 177260084 198453460 204812368 221575105 248066825 256015460 320019325 354520168 396906920 443150210 496133650 512030920 640038650 709040336 793813840 886300420 992267300 1024061840 1107875525 1280077300 1772600840 1984534600 2215751050 2560154600 3545201680 3969069200 4431502100 5120309200 8863004200 17726008400 75025330553 150050661106 300101322212 375126652765 600202644424 750253305530 1200405288848 1500506611060 1875633263825 3001013222120 3751266527650 6002026444240 7502533055300 15005066110600 30010132221200