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2302031310120 = 2332531206275207
BaseRepresentation
bin100001011111111011110…
…000100010110100101000
322011001221112001010100100
4201133323300202310220
5300204030003410440
64521312200105400
7325213324165353
oct41377360426450
98131845033310
102302031310120
1180831672a483
12312195765260
13139108180719
147d5c16bb29a
153ed33b86230
hex217fbc22d28

2302031310120 has 96 divisors (see below), whose sum is σ = 7722943787520. Its totient is φ = 594072593280.

The previous prime is 2302031310107. The next prime is 2302031310133. The reversal of 2302031310120 is 210131302032.

2302031310120 is a `hidden beast` number, since 2 + 30 + 203 + 1 + 310 + 120 = 666.

2302031310120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2302031310107) and next prime (2302031310133).

It is a super-2 number, since 2×23020313101202 (a number of 26 digits) contains 22 as substring.

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 = 2302031310093 and 2302031310102.

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, 103126444 + ... + 103148763.

It is an arithmetic number, because the mean of its divisors is an integer number (80447331120).

Almost surely, 22302031310120 is an apocalyptic number.

2302031310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302031310120 is an abundant number, since it is smaller than the sum of its proper divisors (5420912477400).

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

2302031310120 is a wasteful number, since it uses less digits than its factorization.

2302031310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206275255 (or 206275248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2302031310120 its reverse (210131302032), we get a palindrome (2512162612152).

The spelling of 2302031310120 in words is "two trillion, three hundred two billion, thirty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 206275207 412550414 618825621 825100828 1031376035 1237651242 1650201656 1856476863 2062752070 2475302484 3094128105 3712953726 4125504140 4950604968 6188256210 6394531417 7425907452 8251008280 9282384315 12376512420 12789062834 14851814904 18564768630 19183594251 24753024840 25578125668 31972657085 37129537260 38367188502 51156251336 57550782753 63945314170 74259074520 76734377004 95917971255 115101565506 127890628340 153468754008 191835942510 230203131012 255781256680 287753913765 383671885020 460406262024 575507827530 767343770040 1151015655060 2302031310120