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10704300120 = 2333582312043
BaseRepresentation
bin10011111100000011…
…01010100001011000
31000122000000210021000
421332001222201120
5133410300100440
64530102145000
7526156023033
oct117601524130
930560023230
1010704300120
1145a3331128
1220a8a22160
1310178a3bc7
147378da01a
15429b2e730
hex27e06a858

10704300120 has 128 divisors (see below), whose sum is σ = 35727321600. Its totient is φ = 2850774912.

The previous prime is 10704300107. The next prime is 10704300127. The reversal of 10704300120 is 2100340701.

It is a super-2 number, since 2×107043001202 (a number of 21 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 = 10704300093 and 10704300102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10704300127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882819 + ... + 894861.

It is an arithmetic number, because the mean of its divisors is an integer number (279119700).

Almost surely, 210704300120 is an apocalyptic number.

10704300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10704300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863660800).

10704300120 is an abundant number, since it is smaller than the sum of its proper divisors (25023021480).

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

10704300120 is a wasteful number, since it uses less digits than its factorization.

10704300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10704300120 its reverse (2100340701), we get a palindrome (12804640821).

The spelling of 10704300120 in words is "ten billion, seven hundred four million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 823 1080 1646 2469 3292 4115 4938 6584 7407 8230 9876 12043 12345 14814 16460 19752 22221 24086 24690 29628 32920 36129 37035 44442 48172 49380 59256 60215 72258 74070 88884 96344 98760 108387 111105 120430 144516 148140 177768 180645 216774 222210 240860 289032 296280 325161 361290 433548 444420 481720 541935 650322 722580 867096 888840 1083870 1300644 1445160 1625805 2167740 2601288 3251610 4335480 6503220 9911389 13006440 19822778 29734167 39645556 49556945 59468334 79291112 89202501 99113890 118936668 148670835 178405002 198227780 237873336 267607503 297341670 356810004 396455560 446012505 535215006 594683340 713620008 892025010 1070430012 1189366680 1338037515 1784050020 2140860024 2676075030 3568100040 5352150060 10704300120