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1230042131703 = 33721184521551
BaseRepresentation
bin10001111001100100001…
…110010110110011110111
311100120221202021112012000
4101321210032112303313
5130123111241203303
62341023515430343
7154603406415600
oct21714416266367
94316852245160
101230042131703
11434726797310
1217a4827553b3
138bcb96119b8
144376a3bcda7
1521ee2387da3
hex11e64396cf7

1230042131703 has 48 divisors (see below), whose sum is σ = 2312509662720. Its totient is φ = 638982918000.

The previous prime is 1230042131639. The next prime is 1230042131707. The reversal of 1230042131703 is 3071312400321.

It is a happy number.

1230042131703 is a `hidden beast` number, since 1 + 2 + 300 + 42 + 1 + 317 + 0 + 3 = 666.

It is not a de Polignac number, because 1230042131703 - 26 = 1230042131639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230042131707) 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 47 ways as a sum of consecutive naturals, for example, 42246223 + ... + 42275328.

It is an arithmetic number, because the mean of its divisors is an integer number (48177284640).

Almost surely, 21230042131703 is an apocalyptic number.

1230042131703 is a deficient number, since it is larger than the sum of its proper divisors (1082467531017).

1230042131703 is a wasteful number, since it uses less digits than its factorization.

1230042131703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84521585 (or 84521572 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 1230042131703 in words is "one trillion, two hundred thirty billion, forty-two million, one hundred thirty-one thousand, seven hundred three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 84521551 253564653 591650857 760693959 929737061 1774952571 2282081877 2789211183 4141555999 5324857713 6508159427 8367633549 12424667997 15974573139 19524478281 25102900647 37274003991 45557115989 58573434843 111822011973 136671347967 175720304529 410014043901 1230042131703