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11112354000 = 2432531156123
BaseRepresentation
bin10100101100101100…
…10001000011010000
31001200102212001221200
422112112101003100
5140224230312000
65034400151200
7542242310346
oct122626210320
931612761850
1011112354000
1147926a8040
1221a1608500
1310812a52c7
14775b99996
15450884500
hex2965910d0

11112354000 has 240 divisors, whose sum is σ = 42340843584. Its totient is φ = 2693856000.

The previous prime is 11112353983. The next prime is 11112354037. The reversal of 11112354000 is 45321111.

11112354000 is a `hidden beast` number, since 1 + 1 + 1 + 123 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×111123540002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169939 + ... + 226061.

Almost surely, 211112354000 is an apocalyptic number.

11112354000 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 11112354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170421792).

11112354000 is an abundant number, since it is smaller than the sum of its proper divisors (31228489584).

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

11112354000 is a wasteful number, since it uses less digits than its factorization.

11112354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56163 (or 56144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11112354000 its reverse (45321111), we get a palindrome (11157675111).

The spelling of 11112354000 in words is "eleven billion, one hundred twelve million, three hundred fifty-four thousand".