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220000121148 = 223197701132757
BaseRepresentation
bin1100110011100100000…
…1110111000100111100
3210000212012001002221010
43030321001313010330
512101030012334043
6245022222035220
721615544114053
oct3147101670474
9700765032833
10220000121148
1185335373245
1236779718b10
1317990a39ca2
14a9103d939a
155ac9216133
hex333907713c

220000121148 has 48 divisors (see below), whose sum is σ = 516679267104. Its totient is φ = 72856492800.

The previous prime is 220000121147. The next prime is 220000121171. The reversal of 220000121148 is 841121000022.

220000121148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000121147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590786 + ... + 1723542.

It is an arithmetic number, because the mean of its divisors is an integer number (10764151398).

Almost surely, 2220000121148 is an apocalyptic number.

It is an amenable number.

220000121148 is an abundant number, since it is smaller than the sum of its proper divisors (296679145956).

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

220000121148 is a wasteful number, since it uses less digits than its factorization.

220000121148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133662 (or 133660 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 220000121148 in words is "two hundred twenty billion, one hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 197 394 591 701 788 1182 1402 2103 2364 2804 4206 8412 132757 138097 265514 276194 398271 414291 531028 552388 796542 828582 1593084 1657164 26153129 52306258 78459387 93062657 104612516 156918774 186125314 279187971 313837548 372250628 558375942 1116751884 18333343429 36666686858 55000030287 73333373716 110000060574 220000121148