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4123031220 = 2234571133053
BaseRepresentation
bin1111010111000000…
…0111011010110100
3101122100012200120000
43311300013122310
531420443444340
61521042511300
7204113121120
oct36560073264
911570180500
104123031220
111826386420
12970965530
1350926a259
142b181c580
15191e78d30
hexf5c076b4

4123031220 has 240 divisors, whose sum is σ = 16126121088. Its totient is φ = 856707840.

The previous prime is 4123031201. The next prime is 4123031261. The reversal of 4123031220 is 221303214.

4123031220 is a `hidden beast` number, since 412 + 3 + 0 + 31 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4123031193 and 4123031202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108214 + ... + 141266.

Almost surely, 24123031220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063060544).

4123031220 is an abundant number, since it is smaller than the sum of its proper divisors (12003089868).

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

4123031220 is a wasteful number, since it uses less digits than its factorization.

4123031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33092 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4123031220 is about 64210.8341325668. The cubic root of 4123031220 is about 1603.5119757305.

Adding to 4123031220 its reverse (221303214), we get a palindrome (4344334434).

The spelling of 4123031220 in words is "four billion, one hundred twenty-three million, thirty-one thousand, two hundred twenty".