Search a number
-
+
300002110100 = 2252711349111637
BaseRepresentation
bin1000101110110011000…
…01001110101010010100
31001200100122220020020222
410113121201032222110
514403401020010400
6345452530213512
730450221601260
oct4273141165224
91050318806228
10300002110100
11106259408690
124a186124298
13223a03ba1a4
141073d5310a0
157c0c979185
hex45d984ea94

300002110100 has 144 divisors (see below), whose sum is σ = 813974985600. Its totient is φ = 93238387200.

The previous prime is 300002110097. The next prime is 300002110103. The reversal of 300002110100 is 1011200003.

It is an interprime number because it is at equal distance from previous prime (300002110097) and next prime (300002110103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300002110103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631482 + ... + 2743118.

Almost surely, 2300002110100 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 300002110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406987492800).

300002110100 is an abundant number, since it is smaller than the sum of its proper divisors (513972875500).

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

300002110100 is a wasteful number, since it uses less digits than its factorization.

300002110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112018 (or 112011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 300002110100 its reverse (1011200003), we get a palindrome (301013310103).

The spelling of 300002110100 in words is "three hundred billion, two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 349 350 385 550 698 700 770 1100 1396 1540 1745 1925 2443 3490 3839 3850 4886 6980 7678 7700 8725 9772 12215 15356 17450 19195 24430 26873 34900 38390 48860 53746 61075 76780 95975 107492 111637 122150 134365 191950 223274 244300 268730 383900 446548 537460 558185 671825 781459 1116370 1228007 1343650 1562918 2232740 2456014 2687300 2790925 3125836 3907295 4912028 5581850 6140035 7814590 8596049 11163700 12280070 15629180 17192098 19536475 24560140 30700175 34384196 38961313 39072950 42980245 61400350 77922626 78145900 85960490 122800700 155845252 171920980 194806565 214901225 272729191 389613130 428574443 429802450 545458382 779226260 857148886 859604900 974032825 1090916764 1363645955 1714297772 1948065650 2142872215 2727291910 3000021101 3896131300 4285744430 5454583820 6000042202 6818229775 8571488860 10714361075 12000084404 13636459550 15000105505 21428722150 27272919100 30000211010 42857444300 60000422020 75000527525 150001055050 300002110100