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1303010113229 = 114124371118549
BaseRepresentation
bin10010111101100001011…
…101000111011011001101
311121120022000102001022022
4102331201131013123031
5132322031042110404
62434332232455525
7163065543134606
oct22754135073315
94546260361268
101303010113229
1146267026a880
1219064754a5a5
1395b4790cc26
14470cd264dad
1523d633158be
hex12f617476cd

1303010113229 has 16 divisors (see below), whose sum is σ = 1456207502400. Its totient is φ = 1155605904000.

The previous prime is 1303010113219. The next prime is 1303010113259. The reversal of 1303010113229 is 9223110103031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303010113229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303010113198 and 1303010113207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303010113219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10932047 + ... + 11050595.

It is an arithmetic number, because the mean of its divisors is an integer number (91012968900).

Almost surely, 21303010113229 is an apocalyptic number.

It is an amenable number.

1303010113229 is a deficient number, since it is larger than the sum of its proper divisors (153197389171).

1303010113229 is a wasteful number, since it uses less digits than its factorization.

1303010113229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142972.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 1303010113229 in words is "one trillion, three hundred three billion, ten million, one hundred thirteen thousand, two hundred twenty-nine".

Divisors: 1 11 41 451 24371 118549 268081 999211 1304039 4860509 10991321 53465599 2889157679 31780734469 118455464839 1303010113229