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12106183180 = 22571323713829
BaseRepresentation
bin10110100011001010…
…11011001000001100
31011020200220211021211
423101211123020030
5144243140330210
65321141304204
7606000600460
oct132145331014
934220824254
1012106183180
115152696673
12241a405064
1311ac161800
1482bb7c4a0
154acc4738a
hex2d195b20c

12106183180 has 144 divisors (see below), whose sum is σ = 32314403520. Its totient is φ = 3727586304.

The previous prime is 12106183171. The next prime is 12106183189. The reversal of 12106183180 is 8138160121.

It is an interprime number because it is at equal distance from previous prime (12106183171) and next prime (12106183189).

It is not an unprimeable number, because it can be changed into a prime (12106183189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868506 + ... + 882334.

It is an arithmetic number, because the mean of its divisors is an integer number (224405580).

Almost surely, 212106183180 is an apocalyptic number.

12106183180 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 12106183180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157201760).

12106183180 is an abundant number, since it is smaller than the sum of its proper divisors (20208220340).

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

12106183180 is a wasteful number, since it uses less digits than its factorization.

12106183180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13908 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 12106183180 in words is "twelve billion, one hundred six million, one hundred eighty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 169 182 185 259 260 338 364 370 455 481 518 676 740 845 910 962 1036 1183 1295 1690 1820 1924 2366 2405 2590 3367 3380 4732 4810 5180 5915 6253 6734 9620 11830 12506 13468 13829 16835 23660 25012 27658 31265 33670 43771 55316 62530 67340 69145 87542 96803 125060 138290 175084 179777 193606 218855 276580 359554 387212 437710 484015 511673 719108 875420 898885 968030 1023346 1258439 1797770 1936060 2046692 2337101 2516878 2558365 3581711 3595540 4674202 5033756 5116730 6292195 6651749 7163422 9348404 10233460 11685505 12584390 13303498 14326844 16359707 17908555 23371010 25168780 26606996 32719414 33258745 35817110 46562243 46742020 65438828 66517490 71634220 81798535 86472737 93124486 133034980 163597070 172945474 186248972 232811215 327194140 345890948 432363685 465622430 605309159 864727370 931244860 1210618318 1729454740 2421236636 3026545795 6053091590 12106183180