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830310120 = 2332523100279
BaseRepresentation
bin110001011111011…
…000011011101000
32010212101010100200
4301133120123220
53200024410440
6214220232200
726401343133
oct6137303350
92125333320
10830310120
11396763312
121b209b660
13103036083
147c3b921a
154cd62c30
hex317d86e8

830310120 has 96 divisors (see below), whose sum is σ = 2815862400. Its totient is φ = 211787136.

The previous prime is 830310119. The next prime is 830310121. The reversal of 830310120 is 21013038.

It is an interprime number because it is at equal distance from previous prime (830310119) and next prime (830310121).

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 = 830310093 and 830310102.

It is not an unprimeable number, because it can be changed into a prime (830310121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41860 + ... + 58419.

It is an arithmetic number, because the mean of its divisors is an integer number (29331900).

Almost surely, 2830310120 is an apocalyptic number.

It is an amenable number.

830310120 is an abundant number, since it is smaller than the sum of its proper divisors (1985552280).

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

830310120 is a wasteful number, since it uses less digits than its factorization.

830310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100319 (or 100312 counting only the distinct ones).

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

The square root of 830310120 is about 28815.1022902922. The cubic root of 830310120 is about 939.8966688890.

Adding to 830310120 its reverse (21013038), we get a palindrome (851323158).

The spelling of 830310120 in words is "eight hundred thirty million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 100279 200558 300837 401116 501395 601674 802232 902511 1002790 1203348 1504185 1805022 2005580 2306417 2406696 3008370 3610044 4011160 4512555 4612834 6016740 6919251 7220088 9025110 9225668 11532085 12033480 13838502 18050220 18451336 20757753 23064170 27677004 34596255 36100440 41515506 46128340 55354008 69192510 83031012 92256680 103788765 138385020 166062024 207577530 276770040 415155060 830310120