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311112031000 = 235313118113121
BaseRepresentation
bin1001000011011111011…
…10001101101100011000
31002202000221011200121211
410201233232031230120
520044124134443000
6354531202312504
731322434426231
oct4415756155430
91082027150554
10311112031000
1110aa3a6a36a1
1250366958734
132345101cb94
14110b4c56088
15815cecc7ba
hex486fb8db18

311112031000 has 128 divisors (see below), whose sum is σ = 737668451520. Its totient is φ = 122803200000.

The previous prime is 311112030967. The next prime is 311112031003. The reversal of 311112031000 is 130211113.

It is a super-2 number, since 2×3111120310002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311112031003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23704440 + ... + 23717560.

Almost surely, 2311112031000 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 311112031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368834225760).

311112031000 is an abundant number, since it is smaller than the sum of its proper divisors (426556420520).

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

311112031000 is a wasteful number, since it uses less digits than its factorization.

311112031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 311112031000 its reverse (130211113), we get a palindrome (311242242113).

The spelling of 311112031000 in words is "three hundred eleven billion, one hundred twelve million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 181 200 250 262 362 500 524 655 724 905 1000 1048 1310 1448 1810 2620 3275 3620 4525 5240 6550 7240 9050 13100 13121 16375 18100 22625 23711 26200 26242 32750 36200 45250 47422 52484 65500 65605 90500 94844 104968 118555 131000 131210 181000 189688 237110 262420 328025 474220 524840 592775 656050 948440 1185550 1312100 1640125 1718851 2371100 2374901 2624200 2963875 3280250 3437702 4742200 4749802 5927750 6560500 6875404 8594255 9499604 11855500 11874505 13121000 13750808 17188510 18999208 23711000 23749010 34377020 42971275 47498020 59372525 68754040 85942550 94996040 118745050 171885100 214856375 237490100 296862625 311112031 343770200 429712750 474980200 593725250 622224062 859425500 1187450500 1244448124 1555560155 1718851000 2374901000 2488896248 3111120310 6222240620 7777800775 12444481240 15555601550 31111203100 38889003875 62222406200 77778007750 155556015500 311112031000