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11311320000 = 2635494261
BaseRepresentation
bin10101000100011010…
…10000101111000000
31002012022020120222210
422202031100233000
5141131144220000
65110224502120
7550206430221
oct124215205700
932168216883
1011311320000
114884a44152
12223817a940
1310b3589a76
1479438d248
15463087350
hex2a2350bc0

11311320000 has 140 divisors (see below), whose sum is σ = 37398259976. Its totient is φ = 3016320000.

The previous prime is 11311319977. The next prime is 11311320011. The reversal of 11311320000 is 2311311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72870 + ... + 167130.

Almost surely, 211311320000 is an apocalyptic number.

11311320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699129988).

11311320000 is an abundant number, since it is smaller than the sum of its proper divisors (26086939976).

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

11311320000 is an frugal number, since it uses more digits than its factorization.

11311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94296 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11311320000 its reverse (2311311), we get a palindrome (11313631311).

The spelling of 11311320000 in words is "eleven billion, three hundred eleven million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 94261 120000 188522 282783 377044 471305 565566 754088 942610 1131132 1413915 1508176 1885220 2262264 2356525 2827830 3016352 3770440 4524528 4713050 5655660 6032704 7069575 7540880 9049056 9426100 11311320 11782625 14139150 15081760 18098112 18852200 22622640 23565250 28278300 30163520 35347875 37704400 45245280 47130500 56556600 58913125 70695750 75408800 90490560 94261000 113113200 117826250 141391500 150817600 176739375 188522000 226226400 235652500 282783000 353478750 377044000 452452800 471305000 565566000 706957500 754088000 942610000 1131132000 1413915000 1885220000 2262264000 2827830000 3770440000 5655660000 11311320000