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11144311230 = 2351327183373
BaseRepresentation
bin10100110000100000…
…01011000110111110
31001202122222200000210
422120100023012332
5140310420424410
65041501133250
7543111040203
oct123020130676
931678880023
1011144311230
1147a9744a78
1221b025a226
131087ab4100
1477a117caa
15453598220
hex29840b1be

11144311230 has 192 divisors, whose sum is σ = 29803479552. Its totient is φ = 2664829440.

The previous prime is 11144311133. The next prime is 11144311267. The reversal of 11144311230 is 3211344111.

It is a super-2 number, since 2×111443112302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11144311197 and 11144311206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29877324 + ... + 29877696.

It is an arithmetic number, because the mean of its divisors is an integer number (155226456).

Almost surely, 211144311230 is an apocalyptic number.

11144311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901739776).

11144311230 is an abundant number, since it is smaller than the sum of its proper divisors (18659168322).

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

11144311230 is a wasteful number, since it uses less digits than its factorization.

11144311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11144311230 its reverse (3211344111), we get a palindrome (14355655341).

The spelling of 11144311230 in words is "eleven billion, one hundred forty-four million, three hundred eleven thousand, two hundred thirty".