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11123601720 = 23357211229751
BaseRepresentation
bin10100101110000010…
…01011000100111000
31001201020000111220220
422113001023010320
5140240120223340
65035441220040
7542440024500
oct122701130470
931636014826
1011123601720
114798a8a680
1221a5331620
131083712a6a
14777486a00
15451856ed0
hex29704b138

11123601720 has 384 divisors, whose sum is σ = 42589670400. Its totient is φ = 2298240000.

The previous prime is 11123601707. The next prime is 11123601733. The reversal of 11123601720 is 2710632111.

It is an interprime number because it is at equal distance from previous prime (11123601707) and next prime (11123601733).

It is a super-3 number, since 3×111236017203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14811345 + ... + 14812095.

It is an arithmetic number, because the mean of its divisors is an integer number (110910600).

Almost surely, 211123601720 is an apocalyptic number.

11123601720 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 11123601720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294835200).

11123601720 is an abundant number, since it is smaller than the sum of its proper divisors (31466068680).

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

11123601720 is a wasteful number, since it uses less digits than its factorization.

11123601720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 11123601720 in words is "eleven billion, one hundred twenty-three million, six hundred one thousand, seven hundred twenty".