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2323122410142 = 234374767312253
BaseRepresentation
bin100001110011100100111…
…000101101001010011110
322020002101101200000110000
4201303210320231022132
5301030223314111032
64535121103355130
7326561065450032
oct41634470551236
98202341600400
102323122410142
1181625a045056
123162a0bb2aa6
1313b0b9911071
14806228661c2
154066a5cae7c
hex21ce4e2d29e

2323122410142 has 160 divisors (see below), whose sum is σ = 5468512781952. Its totient is φ = 736258553856.

The previous prime is 2323122410137. The next prime is 2323122410171. The reversal of 2323122410142 is 2410142213232.

2323122410142 is a `hidden beast` number, since 2 + 3 + 231 + 2 + 2 + 410 + 14 + 2 = 666.

2323122410142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189590088 + ... + 189602340.

Almost surely, 22323122410142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323122410142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734256390976).

2323122410142 is an abundant number, since it is smaller than the sum of its proper divisors (3145390371810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2323122410142 is a wasteful number, since it uses less digits than its factorization.

2323122410142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2323122410142 its reverse (2410142213232), we get a palindrome (4733264623374).

The spelling of 2323122410142 in words is "two trillion, three hundred twenty-three billion, one hundred twenty-two million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 81 94 111 141 162 222 282 333 423 666 673 846 999 1269 1346 1739 1998 2019 2538 2997 3478 3807 4038 5217 5994 6057 7614 10434 12114 12253 15651 18171 24506 24901 31302 31631 36342 36759 46953 49802 54513 63262 73518 74703 93906 94893 109026 110277 140859 149406 189786 220554 224109 281718 284679 330831 448218 453361 569358 575891 661662 672327 854037 906722 992493 1151782 1170347 1344654 1360083 1708074 1727673 1984986 2016981 2340694 2562111 2720166 3455346 3511041 4033962 4080249 5124222 5183019 7022082 8160498 8246269 10366038 10533123 12240747 15549057 16492538 21066246 21307967 24481494 24738807 31098114 31599369 36722241 42615934 46647171 49477614 63198738 63923901 73444482 74216421 93294342 94798107 127847802 148432842 189596214 191771703 222649263 305111953 383543406 387574643 445298526 575315109 610223906 667947789 775149286 915335859 1150630218 1162723929 1335895578 1725945327 1830671718 2325447858 2746007577 3451890654 3488171787 5492015154 6976343574 8238022731 10464515361 14340261791 16476045462 20929030722 24714068193 28680523582 31393546083 43020785373 49428136386 62787092166 86041570746 129062356119 258124712238 387187068357 774374136714 1161561205071 2323122410142