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11195954901120 = 2735113189271709
BaseRepresentation
bin1010001011101100001011…
…1010100011000010000000
31110122022201100101001022210
42202323002322203002000
52431413303423313440
635451203425102120
72233611125311203
oct242730272430200
943568640331283
1011195954901120
1136271a5733490
121309a26787940
13632a0a6911a2
142a9c5c32393a
1514637494aa80
hexa2ec2ea3080

11195954901120 has 1024 divisors, whose sum is σ = 40846270464000. Its totient is φ = 2583871488000.

The previous prime is 11195954901101. The next prime is 11195954901121. The reversal of 11195954901120 is 2110945959111.

It is a super-2 number, since 2×111959549011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11195954901120.

It is not an unprimeable number, because it can be changed into a prime (11195954901121) 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 127 ways as a sum of consecutive naturals, for example, 15791191326 + ... + 15791192034.

It is an arithmetic number, because the mean of its divisors is an integer number (39888936000).

Almost surely, 211195954901120 is an apocalyptic number.

11195954901120 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 11195954901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20423135232000).

11195954901120 is an abundant number, since it is smaller than the sum of its proper divisors (29650315562880).

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

11195954901120 is a wasteful number, since it uses less digits than its factorization.

11195954901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 48.

The spelling of 11195954901120 in words is "eleven trillion, one hundred ninety-five billion, nine hundred fifty-four million, nine hundred one thousand, one hundred twenty".