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310113100000 = 255511281921
BaseRepresentation
bin1001000001101000010…
…11100110000011100000
31002122110022111201220101
410200310023212003200
520040102423200000
6354244115552144
731255614600034
oct4406413460340
91078408451811
10310113100000
1110a57783aa90
12501282bb654
1323322098452
141101c3061c4
15810045ce6a
hex48342e60e0

310113100000 has 144 divisors (see below), whose sum is σ = 832497622992. Its totient is φ = 112768000000.

The previous prime is 310113099979. The next prime is 310113100079. The reversal of 310113100000 is 1311013.

It is a super-2 number, since 2×3101131000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 310113100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959040 + ... + 1240960.

It is an arithmetic number, because the mean of its divisors is an integer number (5781233493).

Almost surely, 2310113100000 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 310113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416248811496).

310113100000 is an abundant number, since it is smaller than the sum of its proper divisors (522384522992).

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

310113100000 is an equidigital number, since it uses as much as digits as its factorization.

310113100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281967 (or 281939 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 310113100000 its reverse (1311013), we get a palindrome (310114411013).

The spelling of 310113100000 in words is "three hundred ten billion, one hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 281921 550000 563842 1100000 1127684 1409605 2255368 2819210 3101131 4510736 5638420 6202262 7048025 9021472 11276840 12404524 14096050 15505655 22553680 24809048 28192100 31011310 35240125 45107360 49618096 56384200 62022620 70480250 77528275 99236192 112768400 124045240 140960500 155056550 176200625 225536800 248090480 281921000 310113100 352401250 387641375 496180960 563842000 620226200 704802500 775282750 881003125 1127684000 1240452400 1409605000 1550565500 1762006250 1938206875 2480904800 2819210000 3101131000 3524012500 3876413750 5638420000 6202262000 7048025000 7752827500 9691034375 12404524000 14096050000 15505655000 19382068750 28192100000 31011310000 38764137500 62022620000 77528275000 155056550000 310113100000