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12132120303 = 35101653757
BaseRepresentation
bin10110100110010000…
…10111011011101111
31011022111201120100000
423103020113123233
5144321310322203
65323505235343
7606434215062
oct132310273357
934274646300
1012132120303
1151662a1606
122427032b53
1311b4643414
148313b08d9
154b016c4a3
hex2d32176ef

12132120303 has 48 divisors (see below), whose sum is σ = 18405537696. Its totient is φ = 7985174400.

The previous prime is 12132120277. The next prime is 12132120307. The reversal of 12132120303 is 30302123121.

12132120303 is a `hidden beast` number, since 1 + 21 + 321 + 20 + 303 = 666.

It is not a de Polignac number, because 12132120303 - 221 = 12130023151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132120307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16026201 + ... + 16026957.

It is an arithmetic number, because the mean of its divisors is an integer number (383448702).

Almost surely, 212132120303 is an apocalyptic number.

12132120303 is a deficient number, since it is larger than the sum of its proper divisors (6273417393).

12132120303 is an equidigital number, since it uses as much as digits as its factorization.

12132120303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132120303 its reverse (30302123121), we get a palindrome (42434243424).

The spelling of 12132120303 in words is "twelve billion, one hundred thirty-two million, one hundred twenty thousand, three hundred three".

Divisors: 1 3 9 27 81 101 243 303 653 757 909 1959 2271 2727 5877 6813 8181 17631 20439 24543 52893 61317 65953 76457 158679 183951 197859 229371 494321 593577 688113 1482963 1780731 2064339 4448889 5342193 6193017 13346667 16026579 18579051 40040001 49926421 120120003 149779263 449337789 1348013367 4044040101 12132120303