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11012300000 = 25551343197
BaseRepresentation
bin10100100000110001…
…00101110011100000
31001102110120210122222
422100120211303200
5140023122100000
65020423450212
7536616001622
oct122030456340
931373523588
1011012300000
114741179a89
122173bb6968
131066643060
14766792c12
15446bbda85
hex290625ce0

11012300000 has 288 divisors, whose sum is σ = 30013641504. Its totient is φ = 3951360000.

The previous prime is 11012299999. The next prime is 11012300017. The reversal of 11012300000 is 321011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 55899902 + ... + 55900098.

It is an arithmetic number, because the mean of its divisors is an integer number (104214033).

Almost surely, 211012300000 is an apocalyptic number.

11012300000 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 11012300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006820752).

11012300000 is an abundant number, since it is smaller than the sum of its proper divisors (19001341504).

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

11012300000 is an equidigital number, since it uses as much as digits as its factorization.

11012300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11012300000 its reverse (321011), we get a palindrome (11012621011).

The spelling of 11012300000 in words is "eleven billion, twelve million, three hundred thousand".