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220310122032 = 24327111311231361
BaseRepresentation
bin1100110100101110000…
…0011010111000110000
3210001122210100210012100
43031023200122320300
512102143342401112
6245113054300400
721626330065530
oct3151340327060
9701583323170
10220310122032
1185484358520
12368454b7700
1317a10029b70
14a93d6534c0
155ae654d2dc
hex334b81ae30

220310122032 has 480 divisors, whose sum is σ = 829177929216. Its totient is φ = 52735795200.

The previous prime is 220310122013. The next prime is 220310122049. The reversal of 220310122032 is 230221013022.

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 = 220310121996 and 220310122014.

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 95 ways as a sum of consecutive naturals, for example, 161873032 + ... + 161874392.

Almost surely, 2220310122032 is an apocalyptic number.

220310122032 is a gapful number since it is divisible by the number (22) 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 220310122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414588964608).

220310122032 is an abundant number, since it is smaller than the sum of its proper divisors (608867807184).

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

220310122032 is a wasteful number, since it uses less digits than its factorization.

220310122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2520 counting only the distinct ones).

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

Adding to 220310122032 its reverse (230221013022), we get a palindrome (450531135054).

The spelling of 220310122032 in words is "two hundred twenty billion, three hundred ten million, one hundred twenty-two thousand, thirty-two".