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12196910310 = 23513476531019
BaseRepresentation
bin10110101101111111…
…00001010011100110
31011111000122020111220
423112333201103212
5144434402112220
65334142041210
7611152012164
oct132677412346
934430566456
1012196910310
115199924272
122444879206
1311c4ba96c0
14839c38234
154b5bb9540
hex2d6fe14e6

12196910310 has 128 divisors (see below), whose sum is σ = 32275998720. Its totient is φ = 2931058176.

The previous prime is 12196910273. The next prime is 12196910317. The reversal of 12196910310 is 1301969121.

It is a super-4 number, since 4×121969103104 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12196910317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11968981 + ... + 11969999.

It is an arithmetic number, because the mean of its divisors is an integer number (252156240).

Almost surely, 212196910310 is an apocalyptic number.

12196910310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12196910310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137999360).

12196910310 is an abundant number, since it is smaller than the sum of its proper divisors (20079088410).

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

12196910310 is a wasteful number, since it uses less digits than its factorization.

12196910310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 12196910310 in words is "twelve billion, one hundred ninety-six million, nine hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 653 705 1019 1222 1306 1410 1833 1959 2038 3055 3057 3265 3666 3918 5095 6110 6114 6530 8489 9165 9795 10190 13247 15285 16978 18330 19590 25467 26494 30570 30691 39741 42445 47893 50934 61382 66235 79482 84890 92073 95786 127335 132470 143679 153455 184146 198705 239465 254670 287358 306910 397410 398983 460365 478930 622609 665407 718395 797966 920730 1196949 1245218 1330814 1436790 1867827 1994915 1996221 2393898 3113045 3327035 3735654 3989830 3992442 5984745 6226090 6654070 8650291 9339135 9981105 11969490 17300582 18678270 19962210 25950873 31274129 43251455 51901746 62548258 86502910 93822387 129754365 156370645 187644774 259508730 312741290 406563677 469111935 813127354 938223870 1219691031 2032818385 2439382062 4065636770 6098455155 12196910310