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1303123012101 = 34106315134467
BaseRepresentation
bin10010111101101000001…
…011110010101000000101
311121120120212211220110000
4102331220023302220011
5132322243442341401
62434351344351513
7163101413562051
oct22755013625005
94546525756400
101303123012101
11462718a71429
12190679315599
1395b6511b8b1
1447100252c61
1523d6d1b7186
hex12f682f2a05

1303123012101 has 20 divisors (see below), whose sum is σ = 1948471948192. Its totient is φ = 867931356168.

The previous prime is 1303123012063. The next prime is 1303123012117. The reversal of 1303123012101 is 1012103213031.

1303123012101 is a `hidden beast` number, since 1 + 30 + 312 + 301 + 21 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1303123012101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303123012151) 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 19 ways as a sum of consecutive naturals, for example, 7481131 + ... + 7653336.

Almost surely, 21303123012101 is an apocalyptic number.

It is an amenable number.

1303123012101 is a deficient number, since it is larger than the sum of its proper divisors (645348936091).

1303123012101 is a wasteful number, since it uses less digits than its factorization.

1303123012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135542 (or 15135533 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303123012101 its reverse (1012103213031), we get a palindrome (2315226225132).

It can be divided in two parts, 130312 and 3012101, that added together give a palindrome (3142413).

The spelling of 1303123012101 in words is "one trillion, three hundred three billion, one hundred twenty-three million, twelve thousand, one hundred one".

Divisors: 1 3 9 27 81 1063 3189 9567 28701 86103 15134467 45403401 136210203 408630609 1225891827 16087938421 48263815263 144791445789 434374337367 1303123012101