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11143374120 = 2334529233509
BaseRepresentation
bin10100110000011001…
…00110010100101000
31001202121020001120000
422120030212110220
5140310200432440
65041425103000
7543100055124
oct123014462450
931677201500
1011143374120
1147a91649aa
1221aba87a60
1310878466c8
14779d52584
15453460730
hex298326528

11143374120 has 320 divisors, whose sum is σ = 38988378000. Its totient is φ = 2851172352.

The previous prime is 11143374113. The next prime is 11143374131. The reversal of 11143374120 is 2147334111.

It can be written as a sum of positive squares in 8 ways, for example, as 5032199844 + 6111174276 = 70938^2 + 78174^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 21892426 + ... + 21892934.

Almost surely, 211143374120 is an apocalyptic number.

11143374120 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 11143374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494189000).

11143374120 is an abundant number, since it is smaller than the sum of its proper divisors (27845003880).

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

11143374120 is a wasteful number, since it uses less digits than its factorization.

11143374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11143374120 in words is "eleven billion, one hundred forty-three million, three hundred seventy-four thousand, one hundred twenty".