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4120223003 = 131727383181
BaseRepresentation
bin1111010110010101…
…1001110100011011
3101122010221000101222
43311211121310123
531414234114003
61520502402255
7204050213651
oct36545316433
911563830358
104120223003
111824838586
1296ba3038b
135087c5ca0
142b12cadd1
15191ac1c38
hexf5959d1b

4120223003 has 48 divisors (see below), whose sum is σ = 4862378976. Its totient is φ = 3468718080.

The previous prime is 4120222991. The next prime is 4120223047. The reversal of 4120223003 is 3003220214.

4120223003 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4120223003 - 214 = 4120206619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (4120223203) 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 47 ways as a sum of consecutive naturals, for example, 22763573 + ... + 22763753.

It is an arithmetic number, because the mean of its divisors is an integer number (101299562).

Almost surely, 24120223003 is an apocalyptic number.

4120223003 is a deficient number, since it is larger than the sum of its proper divisors (742155973).

4120223003 is a wasteful number, since it uses less digits than its factorization.

4120223003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4120223003 is about 64188.9632491443. The cubic root of 4120223003 is about 1603.1478397282.

Adding to 4120223003 its reverse (3003220214), we get a palindrome (7123443217).

The spelling of 4120223003 in words is "four billion, one hundred twenty million, two hundred twenty-three thousand, three".

Divisors: 1 13 17 73 83 181 221 289 949 1079 1241 1411 2353 3077 3757 6059 13213 15023 16133 18343 21097 23987 40001 52309 78767 103003 171769 195299 224621 255391 274261 311831 680017 1096679 1339039 1751051 2920073 3320083 3818557 4341647 14256827 18643543 22763663 49641241 56441411 242366059 316940231 4120223003