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333113130122132 = 2219130714292346769
BaseRepresentation
bin100101110111101101111000…
…1110010100111101110010100
31121200110022012210012021111202
41023233123301302213232110
5322130211142302402012
63140250020454052032
7130110425620456343
oct11357336162475624
91550408183167452
10333113130122132
119715a537792458
123143b68134a018
13113b45831b4619
145c38a93897b5a
15287a084b6ccc2
hex12ef6f1ca7b94

333113130122132 has 48 divisors (see below), whose sum is σ = 614528947032000. Its totient is φ = 157559300043264.

The previous prime is 333113130122053. The next prime is 333113130122161. The reversal of 333113130122132 is 231221031311333.

It is a super-3 number, since 3×3331131301221323 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 333113130122095 and 333113130122104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140772044 + ... + 143118812.

It is an arithmetic number, because the mean of its divisors is an integer number (12802686396500).

Almost surely, 2333113130122132 is an apocalyptic number.

It is an amenable number.

333113130122132 is a deficient number, since it is larger than the sum of its proper divisors (281415816909868).

333113130122132 is a wasteful number, since it uses less digits than its factorization.

333113130122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349528 (or 2349526 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 333113130122132 its reverse (231221031311333), we get a palindrome (564334161433465).

The spelling of 333113130122132 in words is "three hundred thirty-three trillion, one hundred thirteen billion, one hundred thirty million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 19 38 76 1307 1429 2614 2858 5228 5716 24833 27151 49666 54302 99332 108604 1867703 2346769 3735406 4693538 7470812 9387076 35486357 44588611 70972714 89177222 141945428 178354444 3067227083 3353532901 6134454166 6707065802 12268908332 13414131604 58277314577 63717125119 116554629154 127434250238 233109258308 254868500476 4383067501607 8766135003214 17532270006428 83278282530533 166556565061066 333113130122132