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311112020000 = 255476120441
BaseRepresentation
bin1001000011011111011…
…10001011000000100000
31002202000221011010112102
410201233232023000200
520044124134120000
6354531202145532
731322434352165
oct4415756130040
91082027133472
10311112020000
1110aa3a696401
12503669522a8
1323451017b82
14110b4c5206c
15815cec93d5
hex486fb8b020

311112020000 has 120 divisors (see below), whose sum is σ = 766425487212. Its totient is φ = 124275200000.

The previous prime is 311112019921. The next prime is 311112020029. The reversal of 311112020000 is 20211113.

It can be written as a sum of positive squares in 10 ways, for example, as 61915373584 + 249196646416 = 248828^2 + 499196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15209780 + ... + 15230220.

Almost surely, 2311112020000 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 311112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383212743606).

311112020000 is an abundant number, since it is smaller than the sum of its proper divisors (455313467212).

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

311112020000 is an equidigital number, since it uses as much as digits as its factorization.

311112020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21232 (or 21209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 311112020000 its reverse (20211113), we get a palindrome (311132231113).

The spelling of 311112020000 in words is "three hundred eleven billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 761 800 1000 1250 1522 2000 2500 3044 3805 4000 5000 6088 7610 10000 12176 15220 19025 20000 20441 24352 30440 38050 40882 60880 76100 81764 95125 102205 121760 152200 163528 190250 204410 304400 327056 380500 408820 475625 511025 608800 654112 761000 817640 951250 1022050 1522000 1635280 1902500 2044100 2555125 3044000 3270560 3805000 4088200 5110250 7610000 8176400 10220500 12775625 15220000 15555601 16352800 20441000 25551250 31111202 40882000 51102500 62222404 77778005 81764000 102205000 124444808 155556010 204410000 248889616 311112020 388890025 408820000 497779232 622224040 777780050 1244448080 1555560100 1944450125 2488896160 3111120200 3888900250 6222240400 7777800500 9722250625 12444480800 15555601000 19444501250 31111202000 38889002500 62222404000 77778005000 155556010000 311112020000