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331122302010229 = 12372341114345037
BaseRepresentation
bin100101101001001110110101…
…1001100000100001101110101
31121102101222112112212121200211
41023102131223030010031311
5321400101433303311404
63132123252514305421
7126513540215643652
oct11322355314041565
91542358475777624
10331122302010229
11965621a8164984
1231179878b88271
131129b911bc4092
145baa5951a4c29
1528433b6ec1b04
hex12d276b304375

331122302010229 has 8 divisors (see below), whose sum is σ = 331531545797048. Its totient is φ = 330713286920640.

The previous prime is 331122302010113. The next prime is 331122302010293. The reversal of 331122302010229 is 922010203221133.

It can be written as a sum of positive squares in 4 ways, for example, as 39188513965329 + 291933788044900 = 6260073^2 + 17086070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331122302010229 - 235 = 331087942271861 is a prime.

It is a super-3 number, since 3×3311223020102293 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331122302010229.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122302010629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54276702 + ... + 60068335.

It is an arithmetic number, because the mean of its divisors is an integer number (41441443224631).

Almost surely, 2331122302010229 is an apocalyptic number.

It is an amenable number.

331122302010229 is a deficient number, since it is larger than the sum of its proper divisors (409243786819).

331122302010229 is a wasteful number, since it uses less digits than its factorization.

331122302010229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114348615.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 331122302010229 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three hundred two million, ten thousand, two hundred twenty-nine".

Divisors: 1 1237 2341 2895817 114345037 141444810769 267681731617 331122302010229