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235131345120 = 25357210198981
BaseRepresentation
bin1101101011111011101…
…0111001100011100000
3211110220201002221001210
43122332322321203200
512323022111020440
6300003504430120
722662526312500
oct3327672714340
9743821087053
10235131345120
119079a572821
12396a1018340
131923280c959
14b547c1ba00
1561b27eba80
hex36beeb98e0

235131345120 has 288 divisors, whose sum is σ = 870127798176. Its totient is φ = 53211648000.

The previous prime is 235131345109. The next prime is 235131345161. The reversal of 235131345120 is 21543131532.

235131345120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2326030 + ... + 2425010.

It is an arithmetic number, because the mean of its divisors is an integer number (3021277077).

Almost surely, 2235131345120 is an apocalyptic number.

235131345120 is a gapful number since it is divisible by the number (20) 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 235131345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435063899088).

235131345120 is an abundant number, since it is smaller than the sum of its proper divisors (634996453056).

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

235131345120 is a wasteful number, since it uses less digits than its factorization.

235131345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99114 (or 99099 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 235131345120 its reverse (21543131532), we get a palindrome (256674476652).

The spelling of 235131345120 in words is "two hundred thirty-five billion, one hundred thirty-one million, three hundred forty-five thousand, one hundred twenty".