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11310103313312 = 2529491169714627
BaseRepresentation
bin1010010010010101011010…
…1100001011101110100000
31111001020100112202012101212
42210211112230023232200
52440301042422011222
640015442325445252
72245061621642636
oct244452654135640
944036315665355
1011310103313312
113670651515021
121327b82870828
136406cc473a5b
142b15aa451356
15149305d326e2
hexa4956b0bba0

11310103313312 has 96 divisors (see below), whose sum is σ = 23096679318720. Its totient is φ = 5445346385920.

The previous prime is 11310103313287. The next prime is 11310103313437. The reversal of 11310103313312 is 21331330101311.

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, 773227343 + ... + 773241969.

It is an arithmetic number, because the mean of its divisors is an integer number (240590409570).

Almost surely, 211310103313312 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 11310103313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548339659360).

11310103313312 is an abundant number, since it is smaller than the sum of its proper divisors (11786576005408).

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

11310103313312 is a wasteful number, since it uses less digits than its factorization.

11310103313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16854 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11310103313312 its reverse (21331330101311), we get a palindrome (32641433414623).

The spelling of 11310103313312 in words is "eleven trillion, three hundred ten billion, one hundred three million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 491 928 982 1697 1964 3394 3928 6788 7856 13576 14239 14627 15712 27152 28478 29254 49213 54304 56956 58508 98426 113912 117016 196852 227824 234032 393704 424183 455648 468064 787408 833227 848366 1574816 1666454 1696732 3332908 3393464 6665816 6786928 7181857 13331632 13573856 14363714 24163583 24822019 26663264 28727428 48327166 49644038 57454856 96654332 99288076 114909712 193308664 198576152 208273853 229819424 386617328 397152304 416547706 719838551 773234656 794304608 833095412 1439677102 1666190824 2879354204 3332381648 5758708408 6664763296 11517416816 12187611329 23034833632 24375222658 48750445316 97500890632 195001781264 353440728541 390003562528 706881457082 1413762914164 2827525828328 5655051656656 11310103313312