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10314202340312 = 23131275931316873
BaseRepresentation
bin1001011000010111011001…
…0111011101101111011000
31100112000202111100220212122
42112011312113131233120
52322441441244342222
633534140143400412
72113114356230633
oct226056627355730
940460674326778
1010314202340312
11331725736a852
1211a6b655b3108
1359a81848c5a0
142792d2578c1a
1512d4693a2a42
hex961765ddbd8

10314202340312 has 64 divisors (see below), whose sum is σ = 21026158433280. Its totient is φ = 4714949578752.

The previous prime is 10314202340251. The next prime is 10314202340327. The reversal of 10314202340312 is 21304320241301.

It is a super-3 number, since 3×103142023403123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7173908 + ... + 8490780.

It is an arithmetic number, because the mean of its divisors is an integer number (328533725520).

Almost surely, 210314202340312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314202340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513079216640).

10314202340312 is an abundant number, since it is smaller than the sum of its proper divisors (10711956092968).

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

10314202340312 is a wasteful number, since it uses less digits than its factorization.

10314202340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317612 (or 1317608 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10314202340312 its reverse (21304320241301), we get a palindrome (31618522581613).

The spelling of 10314202340312 in words is "ten trillion, three hundred fourteen billion, two hundred two million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 593 1016 1186 1651 2372 3302 4744 6604 7709 13208 15418 30836 61672 75311 150622 301244 602488 979043 1316873 1958086 2633746 3916172 5267492 7832344 10534984 17119349 34238698 68477396 136954792 167242871 334485742 668971484 780905689 1337942968 1561811378 2174157323 3123622756 4348314646 6247245512 8696629292 10151773957 17393258584 20303547914 40607095828 81214191656 99175022503 198350045006 396700090012 793400180024 1289275292539 2578550585078 5157101170156 10314202340312