Search a number
-
+
102313321132302 = 23276012917463181
BaseRepresentation
bin10111010000110110101101…
…001010010111000100001110
3111102021001120021011001011100
4113100312231022113010032
5101402300140202213202
61001334031343003530
730356615322263250
oct2720665512270416
9442231507131140
10102313321132302
112a666921527105
12b5850102995a6
134512149297307
141b39dc3a83cd0
15bc660e69341c
hex5d0dad29710e

102313321132302 has 96 divisors (see below), whose sum is σ = 253856358834624. Its totient is φ = 29173670208000.

The previous prime is 102313321132273. The next prime is 102313321132391. The reversal of 102313321132302 is 203231123313201.

102313321132302 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 3 + 321 + 1 + 32 + 302 = 666.

It is a super-2 number, since 2×1023133211323022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 220661152 + ... + 221124332.

It is an arithmetic number, because the mean of its divisors is an integer number (2644337071194).

Almost surely, 2102313321132302 is an apocalyptic number.

102313321132302 is an abundant number, since it is smaller than the sum of its proper divisors (151543037702322).

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

102313321132302 is a wasteful number, since it uses less digits than its factorization.

102313321132302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466714 (or 466711 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102313321132302 its reverse (203231123313201), we get a palindrome (305544444445503).

The spelling of 102313321132302 in words is "one hundred two trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 601 1202 1803 2917 3606 4207 5409 5834 8414 8751 10818 12621 17502 20419 25242 26253 37863 40838 52506 61257 75726 122514 183771 367542 463181 926362 1389543 1753117 2779086 3242267 3506234 4168629 5259351 6484534 8337258 9726801 10518702 12271819 15778053 19453602 24543638 29180403 31556106 36815457 58360806 73630914 110446371 220892742 278371781 556743562 835115343 1351098977 1670230686 1948602467 2505346029 2702197954 3897204934 4053296931 5010692058 5845807401 8106593862 9457692839 11691614802 12159890793 17537422203 18915385678 24319781586 28373078517 35074844406 56746157034 85119235551 170238471102 812010485177 1624020970354 2436031455531 4872062911062 5684073396239 7308094366593 11368146792478 14616188733186 17052220188717 34104440377434 51156660566151 102313321132302