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102030111120 = 24357101601309
BaseRepresentation
bin101111100000101110…
…1111111000110010000
3100202100122122200011110
41133001131333012100
53132424202023440
6114512203213320
710241254430550
oct1370135770620
9322318580143
10102030111120
113a2a8379693
1217935817240
13981029a522
144d1c917160
1529c2599080
hex17c177f190

102030111120 has 160 divisors (see below), whose sum is σ = 365057706240. Its totient is φ = 23090227200.

The previous prime is 102030111107. The next prime is 102030111121. The reversal of 102030111120 is 21111030201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102030111096 and 102030111105.

It is not an unprimeable number, because it can be changed into a prime (102030111121) 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, 130975 + ... + 470334.

It is an arithmetic number, because the mean of its divisors is an integer number (2281610664).

Almost surely, 2102030111120 is an apocalyptic number.

102030111120 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 102030111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182528853120).

102030111120 is an abundant number, since it is smaller than the sum of its proper divisors (263027595120).

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

102030111120 is a wasteful number, since it uses less digits than its factorization.

102030111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601433 (or 601427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102030111120 its reverse (21111030201), we get a palindrome (123141141321).

The spelling of 102030111120 in words is "one hundred two billion, thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 101 105 112 120 140 168 202 210 240 280 303 336 404 420 505 560 606 707 808 840 1010 1212 1414 1515 1616 1680 2020 2121 2424 2828 3030 3535 4040 4242 4848 5656 6060 7070 8080 8484 10605 11312 12120 14140 16968 21210 24240 28280 33936 42420 56560 84840 169680 601309 1202618 1803927 2405236 3006545 3607854 4209163 4810472 6013090 7215708 8418326 9019635 9620944 12026180 12627489 14431416 16836652 18039270 21045815 24052360 25254978 28862832 33673304 36078540 42091630 48104720 50509956 60732209 63137445 67346608 72157080 84183260 101019912 121464418 126274890 144314160 168366520 182196627 202039824 242928836 252549780 303661045 336733040 364393254 425125463 485857672 505099560 607322090 728786508 850250926 910983135 971715344 1010199120 1214644180 1275376389 1457573016 1700501852 1821966270 2125627315 2429288360 2550752778 2915146032 3401003704 3643932540 4251254630 4858576720 5101505556 6376881945 6802007408 7287865080 8502509260 10203011112 12753763890 14575730160 17005018520 20406022224 25507527780 34010037040 51015055560 102030111120