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102313306326 = 23711475388903
BaseRepresentation
bin101111101001001011…
…0010010100011010110
3100210002101112110221210
41133102112102203112
53134014201300301
6115000241122250
710251263516550
oct1372226224326
9323071473853
10102313306326
113a433215410
12179b4629386
139856b6335a
144d483944d0
1529dc388ad6
hex17d25928d6

102313306326 has 128 divisors (see below), whose sum is σ = 265465921536. Its totient is φ = 25518430080.

The previous prime is 102313306307. The next prime is 102313306339. The reversal of 102313306326 is 623603313201.

It is a junction number, because it is equal to n+sod(n) for n = 102313306293 and 102313306302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106391 + ... + 1195293.

It is an arithmetic number, because the mean of its divisors is an integer number (2073952512).

Almost surely, 2102313306326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313306326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132732960768).

102313306326 is an abundant number, since it is smaller than the sum of its proper divisors (163152615210).

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

102313306326 is a wasteful number, since it uses less digits than its factorization.

102313306326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89026.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 102313306326 its reverse (623603313201), we get a palindrome (725916619527).

The spelling of 102313306326 in words is "one hundred two billion, three hundred thirteen million, three hundred six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 53 66 77 94 106 141 154 159 231 282 318 329 371 462 517 583 658 742 987 1034 1113 1166 1551 1749 1974 2226 2491 3102 3498 3619 4081 4982 7238 7473 8162 10857 12243 14946 17437 21714 24486 27401 34874 52311 54802 82203 88903 104622 164406 177806 191807 266709 383614 533418 575421 622321 977933 1150842 1244642 1866963 1955866 2933799 3733926 4178441 4711859 5867598 6845531 8356882 9423718 12535323 13691062 14135577 20536593 25070646 28271154 29249087 32983013 41073186 45962851 51830449 58498174 65966026 87747261 91925702 98949039 103660898 137888553 155491347 175494522 197898078 221457373 275777106 310982694 321739957 362813143 442914746 643479914 664372119 725626286 965219871 1088439429 1328744238 1550201611 1930439742 2176878858 2436031103 3100403222 4650604833 4872062206 7308093309 9301209666 14616186618 17052217721 34104435442 51156653163 102313306326