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123679012140 = 223258356914549
BaseRepresentation
bin111001100101111010…
…1111111010100101100
3102211020101212210101100
41303023311333110230
54011243311342030
6132452314243100
711635611154215
oct1631365772454
9384211783340
10123679012140
11484a763a422
121bb77a26490
13b880470028
145db3bc240c
15333ce73360
hex1ccbd7f52c

123679012140 has 144 divisors (see below), whose sum is σ = 380373084000. Its totient is φ = 32524207104.

The previous prime is 123679012099. The next prime is 123679012159. The reversal of 123679012140 is 41210976321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123679012095 and 123679012104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8493586 + ... + 8508134.

It is an arithmetic number, because the mean of its divisors is an integer number (2641479750).

Almost surely, 2123679012140 is an apocalyptic number.

123679012140 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 123679012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190186542000).

123679012140 is an abundant number, since it is smaller than the sum of its proper divisors (256694071860).

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

123679012140 is a wasteful number, since it uses less digits than its factorization.

123679012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 123679012140 its reverse (41210976321), we get a palindrome (164889988461).

The spelling of 123679012140 in words is "one hundred twenty-three billion, six hundred seventy-nine million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 569 747 830 996 1138 1245 1494 1660 1707 2276 2490 2845 2988 3414 3735 4980 5121 5690 6828 7470 8535 10242 11380 14549 14940 17070 20484 25605 29098 34140 43647 47227 51210 58196 72745 87294 94454 102420 130941 141681 145490 174588 188908 218235 236135 261882 283362 290980 425043 436470 472270 523764 566724 654705 708405 850086 872940 944540 1207567 1309410 1416810 1700172 2125215 2415134 2618820 2833620 3622701 4250430 4830268 6037835 7245402 8278381 8500860 10868103 12075670 14490804 16556762 18113505 21736206 24151340 24835143 33113524 36227010 41391905 43472412 49670286 54340515 72454020 74505429 82783810 99340572 108681030 124175715 149010858 165567620 217362060 248351430 298021716 372527145 496702860 687105623 745054290 1374211246 1490108580 2061316869 2748422492 3435528115 4122633738 6183950607 6871056230 8245267476 10306584345 12367901214 13742112460 20613168690 24735802428 30919753035 41226337380 61839506070 123679012140