Search a number
-
+
302121231120 = 243253491202329
BaseRepresentation
bin1000110010101111101…
…01000010001100010000
31001212211100101201210200
410121113311002030100
514422221013343440
6350443110255200
730553563043542
oct4312765021420
91055740351720
10302121231120
11107146616675
124a677957500
132264a441357
14108a0b57692
157cd3a1bc30
hex4657d42310

302121231120 has 120 divisors (see below), whose sum is σ = 1017531879000. Its totient is φ = 80334747648.

The previous prime is 302121231119. The next prime is 302121231133. The reversal of 302121231120 is 21132121203.

302121231120 is a `hidden beast` number, since 302 + 1 + 212 + 31 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4319644176 + 297801586944 = 65724^2 + 545712^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 302121231093 and 302121231102.

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, 349885 + ... + 852444.

It is an arithmetic number, because the mean of its divisors is an integer number (8479432325).

Almost surely, 2302121231120 is an apocalyptic number.

302121231120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302121231120 is an abundant number, since it is smaller than the sum of its proper divisors (715410647880).

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

302121231120 is a wasteful number, since it uses less digits than its factorization.

302121231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202697 (or 1202688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 302121231120 its reverse (21132121203), we get a palindrome (323253352323).

The spelling of 302121231120 in words is "three hundred two billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 349 360 698 720 1047 1396 1745 2094 2792 3141 3490 4188 5235 5584 6282 6980 8376 10470 12564 13960 15705 16752 20940 25128 27920 31410 41880 50256 62820 83760 125640 251280 1202329 2404658 3606987 4809316 6011645 7213974 9618632 10820961 12023290 14427948 18034935 19237264 21641922 24046580 28855896 36069870 43283844 48093160 54104805 57711792 72139740 86567688 96186320 108209610 144279480 173135376 216419220 288558960 419612821 432838440 839225642 865676880 1258838463 1678451284 2098064105 2517676926 3356902568 3776515389 4196128210 5035353852 6294192315 6713805136 7553030778 8392256420 10070707704 12588384630 15106061556 16784512840 18882576945 20141415408 25176769260 30212123112 33569025680 37765153890 50353538520 60424246224 75530307780 100707077040 151060615560 302121231120