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220120320123 = 33112373441421
BaseRepresentation
bin1100110100000000110…
…0011000100001111011
3210001011120012211221000
43031000030120201323
512101301300220443
6245042154220043
721621533564304
oct3150014304173
9701146184830
10220120320123
1185397200540
12367b1a24623
13179ac903642
14a9223677ab
155ad4a5a8d3
hex334031887b

220120320123 has 64 divisors (see below), whose sum is σ = 376303426560. Its totient is φ = 125857670400.

The previous prime is 220120320113. The next prime is 220120320131. The reversal of 220120320123 is 321023021022.

220120320123 is a `hidden beast` number, since 2 + 201 + 20 + 320 + 123 = 666.

It is not a de Polignac number, because 220120320123 - 228 = 219851884667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220120320096 and 220120320105.

It is not an unprimeable number, because it can be changed into a prime (220120320103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277953 + ... + 719373.

It is an arithmetic number, because the mean of its divisors is an integer number (5879741040).

Almost surely, 2220120320123 is an apocalyptic number.

220120320123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

220120320123 is a deficient number, since it is larger than the sum of its proper divisors (156183106437).

220120320123 is a wasteful number, since it uses less digits than its factorization.

220120320123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441537 (or 441531 counting only the distinct ones).

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

Adding to 220120320123 its reverse (321023021022), we get a palindrome (541143341145).

The spelling of 220120320123 in words is "two hundred twenty billion, one hundred twenty million, three hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 9 11 23 27 33 69 73 99 207 219 253 297 621 657 759 803 1679 1971 2277 2409 5037 6831 7227 15111 18469 21681 45333 55407 166221 441421 498663 1324263 3972789 4855631 10152683 11918367 14566893 30458049 32223733 43700679 91374147 96671199 111679513 131102037 274122441 290013597 335038539 354461063 741145859 870040791 1005115617 1063383189 2223437577 3015346851 3190149567 6670312731 8152604449 9570448701 20010938193 24457813347 73373440041 220120320123